CN104504968B - A method of measurement acceleration of gravity - Google Patents

A method of measurement acceleration of gravity Download PDF

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CN104504968B
CN104504968B CN201510003546.7A CN201510003546A CN104504968B CN 104504968 B CN104504968 B CN 104504968B CN 201510003546 A CN201510003546 A CN 201510003546A CN 104504968 B CN104504968 B CN 104504968B
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ball
connection frame
scale
cylinder
fixed plate
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CN104504968A (en
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曾飞
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Sun Meiling
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    • G09BEDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
    • G09B23/00Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
    • G09B23/06Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
    • G09B23/08Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
    • G09B23/10Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of solid bodies
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V7/00Measuring gravitational fields or waves; Gravimetric prospecting or detecting
    • G01V7/14Measuring gravitational fields or waves; Gravimetric prospecting or detecting using free-fall time

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Abstract

The invention belongs to kinetic measurement fields, especially acceleration of gravity fields of measurement.Operation of the present invention is simple, and precision is high.The present invention is such that a kind of method that measurement gravity accelerates, it is characterized by: the method is applied to a kind of multifunction dynamic research device, described device, it include: force snesor, fixed plate lower surface connects electromagnet, and it further includes connection frame that ball is adsorbed in electromagnet lower end, the described method includes: the first step, the height of measurement ball freely falling body is h;Second step, ball fall;It is engraved at this time as t1;Third step, pulling force suffered by sensor become c from b, are engraved at this time as t2;4th step calculates t2‑t1=t calculates the numerical value of acceleration of gravity using existing formula.

Description

A method of measurement acceleration of gravity
Technical field
The invention belongs to be used for dynamics research field.
Background technique
The scope of dynamics research includes power, movement, power and the relationship of movement.Existing apparatus is abundant enough, still, still The relationship between certain parameters in dynamics can be studied with new device, new method.
Summary of the invention
The present invention provides a kind of new device and method, provide a kind of new technical solution for research dynamics, this Invention is such that
Multifunction dynamic research device, comprising: fixed setting, force snesor for measuring pulling force straight down, It is characterized in that: the probe of force snesor is fixedly connected with fixed plate, fixed plate is in tabular, and plane where fixed plate is level Face, fixed plate lower surface are fixedly connected with electromagnet, electromagnet lower end be adsorbed with one for whereabouts ball, ball is by soft magnetism Material is made,
It further include the connection frame of vertical direction setting, the upper end of connection frame is fixedly connected with fixed plate, the lower end of connection frame It is fixedly connected with parcel shelf, parcel shelf is in tabular, and plane where parcel shelf is horizontal plane.
The quality of ball is 50 grams.
The quality of ball is 20 grams.
It further include the connecting rod for fixing force snesor, connecting rod is fixedly connected on vertical rack, and bracket bottom end and pedestal are solid Fixed connection.
It further include a filament, filament one end lies in fixed plate, the filament other end one weight of pendency.
Device its mass center that all components in probe lower section are constituted is located at: by the vertical straight line of probe.
The mass center of ball is located at: by the vertical straight line of probe.
Further include one and be located at parcel shelf upper surface, cylinder for accepting ball, cylinder and parcel shelf are with detachable Mode connects, and the opening for entering cylinder for ball is equipped with above cylinder.
Cylinder inner surface sticks a dsah-pot circular tube shaped, in homogeneous thickness, for the ball deceleration that causes to fall and break, delays It rushes cylinder to be made of elastic material, and the internal diameter of dsah-pot is slightly less than the diameter of ball.
Dsah-pot is made of sponge.
The bottom of cylinder is additionally provided with an ejection hole convenient for disclosing ball.
The connection frame by be used to change fixed plate and glove plate spacing upper connection frame, lower connection frame is with scalable side Formula is formed by connecting, and upper connection frame is vertically arranged, and lower connection frame is also vertically arranged, and upper connection frame upper end is fixedly connected with fixed plate, under Connection frame lower end is fixedly connected with parcel shelf.
Upper connection frame is provided with the high scale for indicating height, and lower connection frame is provided with the lower quarter for marking height Degree, and: when ball is adsorbed in magnet, origin of the scale concordant with ball bottom horizontal line as scale.
A taper cone barrel is also fixedly connected at the beginning of cylinder upper end, taper cone barrel upper end is equipped with circular, for ball entrance Upper opening, taper cone barrel lower end are equipped with circular under shed, and the edge of under shed is fixedly connected with the edge of cylinder upper end, upper opening Diameter be slightly larger than ball diameter.
Upper opening is additionally provided with the impact piece for the ball deceleration that causes to fall and break, and impact piece outer ring is circle, impacts the outer ring of piece It is fixedly connected with upper opening edge, impact piece is made of in homogeneous thickness, laminar, elastic material, and impact piece inner ring is provided with In the hole of homogeneous radiation shape, the center in hole is located at: the axis of cylinder.
One side of upper connection frame is provided with the groove of vertical direction, and the rack gear for driving gear is equipped in groove;
Lower connection frame is equipped with a shell, a face of shell be equipped with it is overhanging for gear, with what is maked the gear and the rack meshed Elongated hole, side equipped with elongated hole and set reeded side fitting,
One is equipped in the shell of lower connection frame for determining the shaft of rotary gear axis line, axis where the shaft is water Square to,
Be additionally provided with the first tensioning wheel, the second tensioning wheel in the shell of lower connection frame, the first tensioning wheel, the second tensioning wheel its Shaft axis is horizontal direction, and the shaft axis of the shaft axis and gear is vertical,
It is additionally provided with: the transmission belt rotated synchronously with the first tensioning wheel, the second tensioning wheel,
Gear drives the rotation of the first tensioning wheel by transmission device,
Shell is equipped with reading and is open so that a face of transmission belt is visual, and in the visible range: plane where transmission belt is Perpendicular, conveyor belt motion direction are vertical direction;And: the speed of lower connection frame along the vertical direction and transmission belt are along vertical side To speed etc. it is big, reversed,
Plane where plane where reading opening and elongated hole is vertical,
Lower connection frame is provided with the lower scale for marking height, and scale mark is in transmission belt, upper connection frame setting There is a high scale for indicating height, and the scale numerical value that high scale and lower scale are marked in scale overlapping region is identical, and: When ball is adsorbed in magnet, origin of the scale concordant with ball bottom horizontal line as scale.
A method of measurement gravity accelerates, it is characterised in that: the method is studied applied to a kind of multifunction dynamic Device, described device, comprising: fixed setting, force snesor for measuring pulling force straight down, and: the spy of force snesor Head is fixedly connected with fixed plate, and fixed plate is in tabular, and plane is horizontal plane where fixed plate, and fixed plate lower surface is fixedly connected Electromagnet, electromagnet lower end be adsorbed with one for whereabouts ball, it further includes vertical direction that ball is made of soft magnetic material The upper end of the connection frame of setting, connection frame is fixedly connected with fixed plate, and the lower end of connection frame is fixedly connected with parcel shelf, and parcel shelf is in Tabular, plane where parcel shelf are horizontal plane,
The described method includes:
The first step is powered to electromagnet, adsorbs ball, and keep ball static, and the height of measurement ball freely falling body is h;Force snesor starts to acquire the data of its suffered pulling force, and pulling force suffered by sensor is a at this time;
Second step, electromagnet power-off, ball fall;Pulling force suffered by sensor becomes b from a, is engraved at this time as t1
Third step, ball hit parcel shelf, and pulling force suffered by sensor becomes c from b, are engraved at this time as t2
4th step calculates t using h as the height of freely falling body2-t1=t is utilized with t as the time of freely falling body:
Calculate the numerical value of acceleration of gravity.
Device of the present invention has multiple functions, measurement method of the present invention, tool in dynamics research field Have the advantages that precision is high, easy to operate.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of the embodiment of the present invention one.
Fig. 2 is the partial structural diagram of the embodiment of the present invention one.
Fig. 3 is the structural schematic diagram of the embodiment of the present invention two.
Fig. 4 is the structural schematic diagram of the embodiment of the present invention three.
Fig. 5 is the structural schematic diagram of the embodiment of the present invention four.
Fig. 6 is the partial structural diagram of the embodiment of the present invention five.
Fig. 7 is the partial structural diagram of the embodiment of the present invention five.
Fig. 8 is the partial structural diagram of the embodiment of the present invention six.
Fig. 9 is the structural schematic diagram of the embodiment of the present invention seven.
Figure 10 is the structural schematic diagram of the embodiment of the present invention eight.
Figure 11 is the partial structural diagram of the embodiment of the present invention nine.
Figure 12 is the partial structural diagram of the embodiment of the present invention nine.
Figure 13 is the partial structural diagram of the embodiment of the present invention ten.
Figure 14 is the partial structural diagram of the embodiment of the present invention ten.
Figure 15 is the partial structural diagram of the embodiment of the present invention 11.
Figure 16 is the partial structural diagram of the embodiment of the present invention 11.
Figure 17 is the partial structural diagram of the embodiment of the present invention 11.
Figure 18 is the partial structural diagram of the embodiment of the present invention 11.
Figure 19 is the partial structural diagram of the embodiment of the present invention 11.
Figure 20 is the partial structural diagram of the embodiment of the present invention 11.
Figure 21 is the partial structural diagram of the embodiment of the present invention 11.
Figure 22 is the partial structural diagram of the embodiment of the present invention 11.
In figure: 1- force snesor, 11- probe, 2- electromagnet, 3- ball, 4- connection frame, 41- fixed plate, 42- parcel shelf, 51- pedestal, 52- bracket, 53- connecting rod, 61- filament, 62- weight, 7- cylinder, 71- dsah-pot, 72- eject hole, connect on 43- Frame, connection frame under 44-, 431- high scale, scale under 441-, 73- taper cone barrel, 731- upper opening, 732- under shed, 74- impact Piece, 741- lower sheeting, 81- rack gear, 82- groove, the first tensioning wheel of 91-, the second tensioning wheel of 92-, 93- gear, 94- elongated hole, 95- transmission belt, 96- reading opening, 97- transmission device.
Specific embodiment
Embodiment one
Referring to attached drawing 1, multifunction dynamic research device, comprising: fixed setting, for measuring pulling force straight down Force snesor 1, it is characterized in that: the probe 11 of force snesor 1 is fixedly connected with fixed plate 41, fixed plate 41 is in tabular, and fixed 41 place plane of plate is horizontal plane, and 41 lower surface of fixed plate is fixedly connected with electromagnet 2, and 2 lower end of electromagnet is adsorbed with one and is used for The ball 3 of whereabouts, ball 3 are made of soft magnetic material, further include vertical direction setting connection frame 4, the upper end of connection frame 4 and Fixed plate 41 is fixedly connected, and the lower end of connection frame 4 is fixedly connected with parcel shelf 42, and parcel shelf 42 is in tabular, 42 place of parcel shelf Plane is horizontal plane.The quality of ball 3 can be 50 grams.The quality of ball 3 can be 20 grams.
Force snesor 1 belongs to the prior art, and force snesor 1 is can be with the instrument of measuring force, and the connection of force snesor 1, which is matched, to be arranged Standby to collect related data, finally performance power output changes with time in the form of F-t image, common force snesor 1 Mostly have such function.Force snesor 1 has a probe 11, applies pressure or pulling force to probe 11, can cause quick The relevant parameter of sensing unit changes, to learn how power changes at any time.Force snesor 1 of the present invention refers to Describe the force snesor 1 of F-t image.
Soft magnetic material refers to: in the presence of external magnetic field, soft magnetic material has magnetism, after external magnetic field removes, soft magnetism Property magnetism of material disappear.Such as: iron.Those skilled in the relevant arts should know: allowing to have slightly remanent magnetism, and select remanent magnetism few Material can reduce error.
A method of measurement gravity accelerates, it is characterised in that: the method is studied applied to a kind of multifunction dynamic Device, described device, comprising: fixed setting, force snesor 1 for measuring pulling force straight down, and: force snesor 1 Probe 11 is fixedly connected with fixed plate 41, and fixed plate 41 is in tabular, and 41 place plane of fixed plate is horizontal plane, under fixed plate 41 Surface is fixedly connected with electromagnet 2,2 lower end of electromagnet be adsorbed with one for whereabouts ball 3, ball 3 is by soft magnetic material system At further including the connection frame 4 of vertical direction setting, the upper end of connection frame 4 is fixedly connected with fixed plate 41, the lower end of connection frame 4 It is fixedly connected with parcel shelf 42, parcel shelf 42 is in tabular, and 42 place plane of parcel shelf is horizontal plane,
The described method includes:
The first step is powered to electromagnet 2, adsorbs ball 3, and keep ball 3 static, measures the height of 3 freely falling body of ball Degree is h;Force snesor 1 starts to acquire the data of its suffered pulling force, and pulling force suffered by sensor is a at this time;
Second step, electromagnet 2 power off, and ball 3 falls;Pulling force suffered by sensor becomes b from a, is engraved at this time as t1
Third step, ball 3 hit parcel shelf 42, and pulling force suffered by sensor becomes c from b, are engraved at this time as t2
4th step calculates t using h as the height of freely falling body2-t1=t is utilized with t as the time of freely falling body:
Calculate the numerical value of acceleration of gravity.
Those skilled in the relevant arts should know: the corollary equipment and force snesor 1 of force snesor 1 are connected to one Rise, and to acquisition data have relevant setting, can be set frequency acquisition be it is per second acquisition 500 times perhaps 600 times or 1000 times.
By described above apparent: connection frame 4 cannot stop the falling motion of ball 3.For example use the side of attached drawing 2 Formula.
The technical solution of optimization is: electromagnet 2 is using remote control electromagnet 2, in this way, pendant just is hanged without the electric wire of electromagnet 2, Because the outstanding pendant of electric wire waves the precision for influencing whether experiment.
How force snesor 1 is fixed? refer to attached drawing 3, that is, embodiment two:
It further include the connecting rod 53 for fixing force snesor 1, connecting rod 53 is fixedly connected on vertical rack 52,52 bottom end of bracket It is fixedly connected with pedestal 51.It is also evident from: being without other object supports under parcel shelf 42, that is to say, that parcel shelf Hanging under 42, parcel shelf 42 is hanging in other words.
Embodiment three
It further include a filament 61 referring to attached drawing 4,61 one end of filament lies in fixed plate 41,61 other end of filament pendency one A weight 62.
Whether filament 61 and weight 62 may be used to determine vertical, because ball of the present invention 3 will do freely falling body Movement, so, in order to ensure 3 drop point of ball can hit designated position (for example hitting parcel shelf 42), utilize filament 61 and weight 62 are conducive to determine vertical direction.
The size of 1 energy correct measurement power of force snesor, will usually ensure that power just can be measured accurately in a certain direction, than Such as, for measuring the force snesor 1 of pulling force, apply the pulling force of 10N along 11 directions of probe, 10N is shown as, if sideling applied 10N pulling force, the result shown are not just 10N.In order to allow probe 11 accurately to acquire the pulling force of vertical direction, the present invention can be with this Sample optimisation technique scheme: device its mass center that the 11 all components in lower section of probe are constituted is located at: by the vertical straight line of probe 11.
The 62 attainable technical effect of institute of weight is in addition to determining vertical direction, and there are one technical effects: for adjusting matter The position of the heart, makes that " device its mass center that the 11 all components in lower section of probe are constituted is located at: by the vertical straight line of probe 11." why Adjustment? change the quality (also can change the suspension point position of filament 61) of weight 62, so that it may change centroid position.
When ball 3 is adsorbed on electromagnet 2, the device that the 11 all components in lower section of probe are constituted has a mass center, and ball 3 is fallen After lower, the device that the 11 all components in lower section of probe are constituted has another mass center, so, in order to improve measurement accuracy, the present invention Can optimisation technique scheme in this way: the mass center of ball 3 be located at: by the vertical straight line of probe 11.Such optimization can make to justify Ball 3 ensures always before falling to the last current state of dropping process: " its mass center position of device that the 11 all components in lower section of probe are constituted In: by the vertical straight line of probe 11."
Example IV
It can optimize in this way in order not to allow the ball 3 of whereabouts disorderly to roll so that losing referring to attached drawing 5: further include a position In 42 upper surface of parcel shelf, cylinder 7 for accepting ball 3, cylinder 7 and parcel shelf 42 are removably connected, cylinder 7 Top is equipped with the opening for entering cylinder 7 for ball 3.
Cylinder 7 and parcel shelf 42 removably connect, and belonging to those skilled in the relevant arts can by conventional means With realization, such as: 7 bottom of cylinder is fixedly connected with the screw rod of a vertical direction, and parcel shelf 42, which is equipped with one, allows screw rod to pass through Hole, using nut cooperation screw rod cylinder 7 can be fixed on parcel shelf 42.For another example: what parcel shelf 42 was equipped with makes screw rod logical The hole crossed, aperture are slightly larger than screw diameter, in this way can be in the position of a small range adjustment cylinder 7.These are all conventional skills Art means, are not described in detail.
There are one effects for cylinder 7: cylinder 7 allows ball 3 only to move in vertical direction.There are one effects for cylinder 7: ensuring Ball 3 and the 11 lower section described devices of probe of force snesor 1, which constitute one, can be considered the entirety --- -- of system because ball 3 will not It rolls down on the ground.
There is the optimization of example IV, can be not only used for measurement acceleration of gravity, can also verify under inotropic action Momentum theorem.Momentum theorem is to set up under constant force effect, this is to be easy by experimental verification, still, under inotropic action, Is momentum theorem also set up? --- -- this be easily detected by experiments have shown that.The present apparatus can be used for verifying to be moved under inotropic action Amount theorem is still set up.There are many methods:
A kind of method of momentum theorem under verifying inotropic action, it is characterised in that: the method is applied to a kind of multi-functional Kinetics research device, described device, comprising: fixed setting, force snesor 1 for measuring pulling force straight down, and: power The probe 11 of sensor 1 is fixedly connected with fixed plate 41, and fixed plate 41 is in tabular, and 41 place plane of fixed plate is horizontal plane, 41 lower surface of fixed plate is fixedly connected with electromagnet 2,2 lower end of electromagnet be adsorbed with one for whereabouts ball 3, ball 3 is by soft Magnetic material is made, and further includes the connection frame 4 of vertical direction setting, and the upper end of connection frame 4 is fixedly connected with fixed plate 41, connects The lower end of frame 4 is fixedly connected with parcel shelf 42, and parcel shelf 42 is in tabular, and 42 place plane of parcel shelf is horizontal plane,
Further include one and be located at 42 upper surface of parcel shelf, cylinder 7 for accepting ball 3, cylinder 7 and parcel shelf 42 with Removably connects, and the opening for entering cylinder 7 for ball 3 is equipped with above cylinder 7,
The described method includes:
The first step is powered to electromagnet 2, adsorbs ball 3, and keep ball 3 static, measurement 3 least significant end of ball to freedom The height of falling bodies process end point is difference h;Force snesor 1 starts to acquire the data of its suffered pulling force, at this time pulling force suffered by sensor For a;
Second step, electromagnet 2 power off, and ball 3 falls;Pulling force suffered by sensor becomes b from a, is engraved at this time as t1
Third step, for ball 3 in freely falling body end point, pulling force suffered by sensor becomes c from b, is engraved at this time as t2
4th step, ball 3 is from t3Static from moment, pulling force suffered by sensor reverts to a;
5th step searches handbook, and the acceleration of gravity numerical value for obtaining test site is g, using h as the height of freely falling body Degree, by formulaCalculate the speed v of freely falling body last current state;
6th step, with t2For the initial time of research process, with t4(t4 t3) then originated for the last moment of research process The speed of moment ball 3 is v, and the speed of last moment ball 3 is 0, and research process is lasted for t5=t4-t2
7th step, t5In time, the momentum of gravity suffered by ball 3 is IG=(a-b) t5
8th step, in F-t image, t5Area folded by image and time shaft is S in time1, b is multiplied by t5For S2, take S= S1-S2
9th step, t5In time, the momentum of elastic force suffered by ball 3 is IN, INIt is numerically equal to S, in allowable range of error It is interior:
If:, then verify: the momentum theorem under inotropic action is set up.
A kind of method of momentum theorem under verifying inotropic action, it is characterised in that: the method is applied to a kind of multi-functional Kinetics research device, described device, comprising: fixed setting, force snesor 1 for measuring pulling force straight down, and: power The probe 11 of sensor 1 is fixedly connected with fixed plate 41, and fixed plate 41 is in tabular, and 41 place plane of fixed plate is horizontal plane, 41 lower surface of fixed plate is fixedly connected with electromagnet 2,2 lower end of electromagnet be adsorbed with one for whereabouts ball 3, ball 3 is by soft Magnetic material is made, and further includes the connection frame 4 of vertical direction setting, and the upper end of connection frame 4 is fixedly connected with fixed plate 41, connects The lower end of frame 4 is fixedly connected with parcel shelf 42, and parcel shelf 42 is in tabular, and 42 place plane of parcel shelf is horizontal plane,
Further include one and be located at 42 upper surface of parcel shelf, cylinder 7 for accepting ball 3, cylinder 7 and parcel shelf 42 with Removably connects, and the opening for entering cylinder 7 for ball 3 is equipped with above cylinder 7,
The described method includes:
The first step is powered to electromagnet 2, adsorbs ball 3, and keep ball 3 static;Force snesor 1 starts to acquire its institute By the data of pulling force, pulling force suffered by sensor is a at this time;
Second step, electromagnet 2 power off, and ball 3 falls;Pulling force suffered by sensor becomes b from a, is engraved at this time as t1
Third step, for ball 3 in freely falling body end point, pulling force suffered by sensor becomes c from b, is engraved at this time as t2
4th step, ball 3 is from t3Static from moment, pulling force suffered by sensor reverts to a;
5th step searches handbook, and the acceleration of gravity numerical value for obtaining test site is g, by formulaIt calculates The speed v of freely falling body last current state;
6th step, with t2For the initial time of research process, with t4(t4 t3) then originated for the last moment of research process The speed of moment ball 3 is v, and the speed of last moment ball 3 is 0, and research process is lasted for t5=t4-t2
7th step, t5In time, the momentum of gravity suffered by ball 3 is IG=(a-b) t5
8th step, in F-t image, t5Area folded by image and time shaft is S in time1, b is multiplied by t5For S2, take S= S1-S2
9th step, t5In time, the momentum of elastic force suffered by ball 3 is IN, INIt is numerically equal to S, in allowable range of error It is interior:
If:, then verify: the momentum theorem under inotropic action is set up.
A kind of method of momentum theorem under verifying inotropic action, it is characterised in that: the method is applied to a kind of multi-functional Kinetics research device, described device, comprising: fixed setting, force snesor 1 for measuring pulling force straight down, and: power The probe 11 of sensor 1 is fixedly connected with fixed plate 41, and fixed plate 41 is in tabular, and 41 place plane of fixed plate is horizontal plane, 41 lower surface of fixed plate is fixedly connected with electromagnet 2,2 lower end of electromagnet be adsorbed with one for whereabouts ball 3, ball 3 is by soft Magnetic material is made, and further includes the connection frame 4 of vertical direction setting, and the upper end of connection frame 4 is fixedly connected with fixed plate 41, connects The lower end of frame 4 is fixedly connected with parcel shelf 42, and parcel shelf 42 is in tabular, and 42 place plane of parcel shelf is horizontal plane,
Further include one and be located at 42 upper surface of parcel shelf, cylinder 7 for accepting ball 3, cylinder 7 and parcel shelf 42 with Removably connects, and the opening for entering cylinder 7 for ball 3 is equipped with above cylinder 7,
The described method includes:
The first step is powered to electromagnet 2, adsorbs ball 3, and keep ball 3 static;Force snesor 1 starts to acquire its institute By the data of pulling force, pulling force suffered by sensor is a at this time;
Second step, electromagnet 2 power off, and ball 3 falls;Pulling force suffered by sensor becomes b from a, is engraved at this time as t1
Third step, ball 3 is from t2Static from moment, pulling force suffered by sensor reverts to a;
4th step, with t1For the initial time of research process, with t3(t3 t2) then originated for the last moment of research process The speed of moment ball 3 is 0, and the speed of last moment ball 3 is also 0, and research process is lasted for t=t3-t1
5th step, in the t time, taking the momentum of gravity is IG=at;
6th step, in F-t image, area folded by image and time shaft is S in the t time;
7th step, in the t time, the momentum of elastic force is IN, INIt is numerically equal to S, in allowable range of error:
If:, then verify: the momentum theorem under inotropic action is set up.
Although it should be understood that there are multiple t in the above method2, still, those skilled in the relevant arts should know difference Meaning t in experimental method2Meaning, will not be the t described in some way2With t described in another method2Obscure.Namely It says, those skilled in the art will not propose: " t described in this specification2Which moment is referred to actually? " such query.Its He also so explains at the moment.
Embodiment five
Example IV has its shortcoming: 1, it is difficult to ensure that ball 3 is only vertically moving in cylinder 7,2, because Ball 3 passes through the very short time with regard to static in cylinder 7, so, experimental precision is not high.In order to make the edge in cylinder 7 of ball 3 Vertical direction movement, and extend the action time of ball 3 and cylinder 7, can optimize in this way: referring to attached drawing 6.
7 inner surface of cylinder sticks a dsah-pot circular tube shaped, in homogeneous thickness, for the deceleration of ball 3 that causes to fall and break 71, dsah-pot 71 is made of elastic material, and the internal diameter of dsah-pot 71 is slightly less than the diameter of ball 3.Attached drawing 7 is used to illustrate: slow The internal diameter for rushing cylinder 71 is slightly less than the diameter of ball 3.Dsah-pot 71 can be made of sponge.
Such design can be such that ball 3 moves only along vertical direction, also, extend the work of ball 3 and cylinder 7 Use the time.
What meaning is does " summary " in " diameter that the internal diameter of dsah-pot 71 is slightly less than ball 3 "? under normal conditions, " summary " Word belongs to unclear statement, still, after those skilled in the relevant arts have seen this explanation, can be clearly understood from " summary " word Meaning: " summary " is to say in the present apparatus, allows ball 3 to receive the resistance of the application of dsah-pot 71, and can enter dsah-pot 71, if it is desired to which more greatly, when that just allows ball 3 to enter, dsah-pot 71 is a little tight, if it is desired to which resistance is small by one for resistance Point, dsah-pot 71 just pine a bit.If those skilled in the relevant arts are it is to be understood that 71 internal diameter of dsah-pot is straight much smaller than ball 3 Diameter, ball 3 will be unable to enter dsah-pot 71.In other words: the process that ball 3 enters dsah-pot 71 is squeezed in.
Embodiment six
Does ball 3 enter cylinder 7 by entering dsah-pot 71, and how that takes out? 7 bottom of cylinder is additionally provided with one A ejection hole 72 convenient for disclosing ball 3, so that it may solve this problem, with a thin bar, disclose.It is not described in detail.
Embodiment seven
Referring to attached drawing 9, the connection frame 4 by be used to change 42 spacing of fixed plate 41 and parcel shelf upper connection frame 43, Lower connection frame 44 is telescopically formed by connecting, and upper connection frame 43 is vertically arranged, and lower connection frame 44 is also vertically arranged, upper connection 43 upper end of frame is fixedly connected with fixed plate 41, and lower 44 lower end of connection frame is fixedly connected with parcel shelf 42.
The difference in height of adjustment fixing plate 41 and parcel shelf 42, there are many kinds of modes, and adjusting 42 position of parcel shelf is to hold It is readily conceivable that, why is the present invention without in this manner still? the reason is that: if only by changing parcel shelf 42 position is poor to change upper-lower height, then, the total height of connection frame 4 be it is constant, this to packaging, transport make troubles.
Scalable mode belongs to the prior art.Those skilled in the relevant arts are it is to be understood that upper connection frame of the present invention 43, lower connection frame 44 is additionally provided with the flexible locking device for being used to determine fixed plate 41,42 height of parcel shelf afterwards in place, such as really After having determined collapsing length, upper connection frame 43 and lower connection frame 44 are connected with screw rod, to ensure that the height does not change, if To change height again, screw rod can be removed, then, a length is reset, fix again.This technology belongs to existing skill Art.
Embodiment eight
Referring to attached drawing 10, upper connection frame 43 is provided with the high scale 431 for indicating height, and lower connection frame 44 is arranged useful Mark the lower scale 441 of height, and: when ball 3 is adsorbed in magnet, the scale conduct concordant with 3 bottom horizontal line of ball The origin of scale.There is scale, facilitates measurement height.If wondering a certain section of height, high scale 431 and lower quarter can be integrated The registration of degree 441 is learned.
Embodiment nine:
Referring to attached drawing 11, a taper cone barrel 73 is also fixedly connected at 7 upper end beginning of cylinder, 73 upper end of taper cone barrel is equipped with circle , for ball 3 enter upper opening 731,73 lower end of taper cone barrel be equipped with circular under shed 732, the edge and circle of under shed 732 The edge of 7 upper ends of cylinder is fixedly connected, and the diameter of upper opening 731 is slightly larger than the diameter of ball 3.The advantages of designing in this way is: 1, really It protects ball 3 and enters cylinder 7,2 along vertical line, if ball 3 does not have " to aim at " axis of cylinder 7, ball 3 will be unable to enter circle Cylinder 7.Referring to attached drawing 12, for expressing the shape of taper cone barrel 73.
Embodiment ten
Referring to attached drawing 13, upper opening 731 is additionally provided with the impact piece 74 for the deceleration of ball 3 that causes to fall and break, and impacts 74 outer ring of piece For circle, the outer ring for impacting piece 74 is fixedly connected with 731 edge of upper opening, impacts piece 74 by homogeneous thickness, laminar, elastic Material is made, and impact 74 inner ring of piece is provided with the hole in homogeneous radiation shape, and the center in hole is located at: the axis of cylinder 7.These radiation The hole of shape forms multiple lower sheetings 741 for being used to apply resistance.Impact piece 74 can be made of thin steel disc, can also be used Sheet rubber is made.
The benefit designed in this way is: after ball 3 enters dsah-pot 71, the resistance deficient change being subject to is enough big, (in fact, The resistance that ball 3 is subject in dsah-pot 71 has the direction of fluctuation or even resistance can also be from becoming vertical straight up Downwards.) in order to become apparent from resistance variation, an impact piece 74, the resistance and dsah-pot 71 that impact piece 74 applies can be set The resistance of application is different, so that the resistance variation that ball 3 is subject to is obvious.
When ball 3 enters impact piece 74, the downward deformation of lower sheeting 741, those skilled in the relevant arts are it is to be understood that will select Suitable impact 74 size of piece, so that ball 3 is able to enter cylinder 7, if the impact piece 74 for selecting area too small, 3 nothing of ball Method is squeezed into inside taper cone barrel 73, and it is even more impossible to enter inside cylinder 7.
Embodiment 11
Embodiment eight has a deficiency: after adjustment height, height directly can not be read from scale, can only: it is carved in reading A part of degree 431, then read a part of lower scale 441 and difference in height then is calculated.This brings inconvenience to reading.If If design one: after flexible, the telescopic device of scale reading inconvenience, so that it may solve this problem.
Attached drawing 15 is exactly such a device, and Figure 15 is the structural schematic diagram of the device.After the device is flexible, reading when It waits, does not need to calculate scale up and down.
One side of upper connection frame 43 is provided with the groove 82 of vertical direction, is equipped in groove 82 for driving gear 93 Rack gear 81;
Lower connection frame 44 is equipped with a shell, a face of shell be equipped with it is overhanging for gear 93, so that gear 93 and rack gear The elongated hole 94 of 81 engagements, the side equipped with elongated hole 94 and the side fitting equipped with groove 82,
One is equipped in the shell of lower connection frame 44 for determining the shaft of 93 pivot center of gear, axis where the shaft For horizontal direction,
The first tensioning wheel 91, the second tensioning wheel 92, the first tensioning wheel 91, second are additionally provided in the shell of lower connection frame 44 Its shaft axis of tensioning wheel 92 is horizontal direction, and the shaft axis of the shaft axis and gear 93 is vertical,
It is additionally provided with: the transmission belt 95 rotated synchronously with the first tensioning wheel 91, the second tensioning wheel 92,
Gear 93 drives the rotation of the first tensioning wheel 91 by transmission device 97,
Shell is equipped with reading opening 96 so that a face of transmission belt 95 is visual, in the visible range: where transmission belt 95 Plane is perpendicular, and 95 direction of motion of transmission belt is vertical direction;And: the speed and transmission of lower connection frame 44 along the vertical direction Speed with 95 along the vertical direction etc. is big, reversed,
Reading 96 place planes of opening and 94 place plane of elongated hole are vertical,
Lower connection frame 44 is provided with the lower scale 441 for marking height, and scale mark is in transmission belt 95, upper connection Frame 43 is provided with the high scale 431 for indicating height, and high scale 431 and lower scale 441 are marked in scale overlapping region Scale numerical value it is identical, and: when ball 3 is adsorbed in magnet, original of the scale concordant with 3 bottom horizontal line of ball as scale Point.
Figure 16,17 are partial enlarged views.Figure 18,19 be upper connection frame 43, lower connection frame 44 constitutional diagram, Figure 20 is Figure 19 Partial enlarged view.
It explains:
One side of upper connection frame 43 is provided with the groove 82 of vertical direction, is equipped in groove 82 for driving gear 93 Rack gear 81, it is preferable that: rack gear 81 is set to the bottom surface of groove 82.
It is additionally provided with: the transmission belt 95 rotated synchronously with the first tensioning wheel 91, the second tensioning wheel 92, so-called synchronous rotation, meaning Think of be say it is non-slip, that is to say, that transmission belt 95 and tensioning wheel contact place, have identical linear velocity.
Gear 93 drives the rotation of the first tensioning wheel 91 by transmission device 97, explains: 1, that is allow the first tensioning wheel 91 As driving wheel, allow the second tensioning wheel 92 as driven wheel, 2, it allows gear 93 to rotate, tensioning wheel is driven, to make transmission belt 95 Movement is got up, this not only belongs to the prior art, still belongs to the technical solution that those of ordinary skill just knows.
Shell is equipped with reading opening 96 so that a face of transmission belt 95 is visual, explains: if not reading opening 96, shell Body will shelter from transmission belt 95.Transmission belt 95 can be set inside housings, can also leak out shell from reading opening 96. Also a trough can be set, transmission belt 95 is allowed to be stuck in movement inside trough.In other words: can be with: shell setting be used to about Beam transmission belt 95 makes transmission belt 95 keep conplane card slot.
In the visible range: 95 place plane of transmission belt is perpendicular, and 95 direction of motion of transmission belt is vertical direction;Solution Release: in not visible range, 95 place plane of transmission belt can not be perpendicular, such as in order to allow transmission belt 95 to be staggered gear 93, some rotating wheels can be added.So emphasizing: " in the visible range ".
The speed of lower connection frame 44 along the vertical direction and the speed of transmission belt 95 along the vertical direction etc. are big, reversed, explain: under Connection frame 44 up moves x centimetres, and transmission belt 95 in the visible range will move x centimetres down.Although this belongs to function Property statement, still, such design belongs to those skilled in the art and does not need what creative work can be completed, as long as setting Certain transmission ratio, so that it may obtain such technical effect.
Lower connection frame 44 is provided with the lower scale 441 for marking height, and scale mark is in transmission belt 95, upper connection Frame 43 is provided with the high scale 431 for indicating height, and high scale 431 and lower scale 441 are marked in scale overlapping region Scale numerical value it is identical, and: when ball 3 is adsorbed in magnet, original of the scale concordant with 3 bottom horizontal line of ball as scale Point.Explain: referring to attached drawing 21,22, the two attached drawings are two different locations of lower connection frame 44, for example, Figure 21, lower connection The scale 10 of frame 44 and the scale 10 of upper connection frame 43 are aligned, and the scale 15 of lower connection frame 44 and the scale 15 of upper connection frame 43 are right Together;After lower connection frame 44 up moves one end distance, the synchronization of transmission belt 95 moves down, so that scale is still overlapped: see Figure 22, The scale 10 of lower connection frame 44 and the scale 10 of upper connection frame 43 are still aligned, the scale 15 and upper connection frame 43 of lower connection frame 44 Scale 15 be still aligned.So there is no need to can directly obtain altitude reading by calculating.
Those skilled in the relevant arts are it is to be understood that upper connection frame 43 of the present invention, lower connection frame 44 can also be arranged There is the flexible locking device for being used to determine fixed plate 41,42 height of parcel shelf afterwards in place, it may also be said to: upper connection frame 43, lower company It connects frame 44 to be additionally provided with for locking upper connection frame 43, lower connection frame 44, be fixed so that upper connection frame 43, lower connection frame 44 are formed The locking device of connection, for example after collapsing length has been determined, upper connection frame 43 and lower connection frame 44 are connected with screw rod, to ensure The height does not change, if to change height again, can remove screw rod, then, reset a length, solid again It is fixed.The device of locking telescopic mounting belongs to conventional technical means, so not being written in the patent scope of protection, cans be compared to There are also screw rods for shell to fix many devices, these screw rods need not also be written in patent scope of protection.Locking device can be with It is such that connection frame 43 is opened up there are two strip hole, the two strip holes are lived apart 82 two sides of groove, and the two strip holes All open up along the vertical direction, lower connection frame 44 offer it is multiple it is corresponding with strip hole, for the screw hole across screw rod, it is fixed When, screw rod is passed through screw hole and then strip hole is tightened with nut.
Those skilled in the relevant arts always change retraction it is to be understood that when in order to ensure stretching along vertical direction Or elongation, sliding slot, preferably dovetail groove can also be set, the draw runner with sliding slot cooperation is additionally provided with.Sliding slot and draw runner are along Vertical direction setting.This is conventional technical means, is not described in detail.
Those skilled in the relevant arts are it is to be understood that the transmission belt 95 that transmission belt 95 will use tensile deformation smaller as far as possible It is made, because scale is labeled in transmission belt 95, if tensile deformation is bigger, scale will inaccuracy.It can subtract in this way Small error: 1, tensioning wheel use gear type tensioning wheel, transmission belt 95 using have perforation transmission belt 95, can be compared to it is common voluntarily The gear and chain of vehicle.Such design, not only ensures synchronization, can also make tensile deformation very little.2, on transmission belt 95 Before marking scale, the elongation effect of transmission belt 95 is just considered, for example, the scale of 1cm, when mark, marking path is 0.8cm, after stretching, the distance between the two scales are exactly 1cm.
Example IV, can be as under measurement acceleration of gravity, verifying inotropic action to 11 described device of embodiment The device of momentum theorem.That is, the method for measurement acceleration of gravity of the present invention can be with any one embodiment institute The device of statement, the method for momentum theorem under verifying inotropic action of the present invention, can be using example IV to embodiment Device described in 11 any one embodiment.
Each embodiment described in this specification can reasonably be applied in combination.Measurement acceleration of gravity of the present invention Measurement method, gained acceleration of gravity relative error momentum theorem under 0.1%---0.2%, the verifying inotropic action Method, the difference of the momentum of the momentum and elastic force of gravity, compared to the momentum of elastic force, relative error is between 0.1%---0.2%.Tool There is advantage with high accuracy.
Device of the present invention has multiple functions, measurement method of the present invention, tool in dynamics research field There is precision high, easy to operate.

Claims (1)

1. a kind of method that measurement gravity accelerates, it is characterised in that: the method is applied to a kind of multifunction dynamic research dress It sets, described device includes: fixed setting, force snesor for measuring pulling force straight down, and the probe of force snesor is fixed It is connected and fixed plate, fixed plate is in tabular, and plane is horizontal plane where fixed plate, and fixed plate lower surface is fixedly connected with electromagnetism Iron, electromagnet lower end be adsorbed with one for whereabouts ball, ball is made of soft magnetic material,
It further include the connection frame of vertical direction setting, the upper end of connection frame is fixedly connected with fixed plate, and the lower end of connection frame is fixed Parcel shelf is connected, parcel shelf is in tabular, and plane where parcel shelf is horizontal plane,
The quality of ball is 50 grams,
It further include the connecting rod for fixing force snesor, connecting rod is fixedly connected on vertical rack, and vertical rack bottom end and pedestal are solid Fixed connection,
It further include a filament, filament one end lies in fixed plate, and the filament other end dangles a weight,
Device its mass center that all components in probe lower section are constituted is located at: by the vertical straight line of probe,
The mass center of ball is located at: pass through the vertical straight line of probe,
Further include one and be located at parcel shelf upper surface, cylinder for accepting ball, cylinder and parcel shelf are removably Connection, cylinder top are equipped with the opening for entering cylinder for ball,
Cylinder inner surface sticks a dsah-pot circular tube shaped, in homogeneous thickness, for the ball deceleration that causes to fall and break, dsah-pot It is made of elastic material, and the internal diameter of dsah-pot is slightly less than the diameter of ball,
Dsah-pot is made of sponge,
The bottom of cylinder is additionally provided with an ejection hole convenient for disclosing ball,
The connection frame by be used to change the upper connection frame of fixed plate and glove plate spacing, lower connection frame telescopically connects It connects, upper connection frame is vertically arranged, and lower connection frame is also vertically arranged, and upper connection frame upper end is fixedly connected with fixed plate, lower connection Frame lower end is fixedly connected with parcel shelf,
Upper connection frame is provided with the high scale for indicating height, and lower connection frame is provided with the lower scale for marking height, and: When ball is adsorbed in magnet, origin of the scale concordant with ball bottom horizontal line as scale, at the beginning of cylinder upper end also It is fixedly connected with a taper cone barrel, taper cone barrel upper end is equipped with upper opening that is circular, entering for ball, and taper cone barrel lower end is equipped with circle Under shed, the edge of under shed is fixedly connected with the edge of cylinder upper end, and the diameter of upper opening is slightly larger than the diameter of ball,
Upper opening is additionally provided with the impact piece for the ball deceleration that causes to fall and break, and impact piece outer ring is circle, impacts outer ring and the upper opening of piece Edge is fixedly connected, and impact piece is made of in homogeneous thickness, laminar, elastic material, and it is in uniformly to put that impact piece inner ring, which is provided with, The hole of shape is penetrated, the center in hole is located at: the axis of cylinder,
One side of upper connection frame is provided with the groove of vertical direction, and the rack gear for driving gear is equipped in groove;
Lower connection frame is equipped with a shell, a face of shell be equipped with it is overhanging for gear, prolonged with what is maked the gear and the rack meshed Hole is stretched, the side equipped with elongated hole is bonded with reeded side is set,
One is equipped in the shell of lower connection frame for determining the shaft of rotary gear axis line, axis where the shaft is level side To,
It is additionally provided with the first tensioning wheel, the second tensioning wheel in the shell of lower connection frame, the first tensioning wheel, the second tensioning wheel its shaft Axis is horizontal direction, and the shaft axis of the shaft axis and gear is vertical,
It is additionally provided with: the transmission belt rotated synchronously with the first tensioning wheel, the second tensioning wheel,
Gear drives the rotation of the first tensioning wheel by transmission device,
Shell is equipped with reading and is open so that a face of transmission belt is visual, and in the visible range: plane where transmission belt is vertical Plane, conveyor belt motion direction are vertical direction;And: the speed of lower connection frame along the vertical direction and transmission belt are along the vertical direction Speed etc. is big, reversed,
Plane where plane where reading opening and elongated hole is vertical,
Lower connection frame is provided with the lower scale for marking height, and scale mark, in transmission belt, upper connection frame setting is useful Indicate the high scale of height, and the scale numerical value that high scale and lower scale are marked in scale overlapping region is identical, and: ball When being adsorbed in magnet, origin of the scale concordant with ball bottom horizontal line as scale,
The described method includes:
The first step is powered to electromagnet, adsorbs ball, and keep ball static, and the height of measurement ball freely falling body is h;Power Sensor starts to acquire the data of its suffered pulling force, and pulling force suffered by sensor is a at this time;
Second step, electromagnet power-off, ball fall;Pulling force suffered by sensor becomes b from a, is engraved at this time as t1;
Third step, ball hit parcel shelf, and pulling force suffered by sensor becomes c from b, are engraved at this time as t2;
4th step calculates t2-t1=t using h as the height of freely falling body, with t as the time of freely falling body, utilizes:
Calculate the numerical value of acceleration of gravity.
CN201510003546.7A 2015-01-05 2015-01-05 A method of measurement acceleration of gravity Active CN104504968B (en)

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CN106370200B (en) * 2016-10-11 2023-08-15 南京南华航空产业有限公司 Motion parameter measuring device of vehicle
CN107808572B (en) * 2017-12-13 2024-05-24 南京泰嘻营生物科技有限公司 Free falling motion demonstration frame for high school physics
CN108877421A (en) * 2018-07-20 2018-11-23 佛山科枫文化传播有限公司 A kind of physics teaching free fall experimental device
CN111708096B (en) * 2020-06-05 2021-04-02 清华大学 Balanced falling mechanism and gravimeter

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