CN104575189B - Track device for verifying kinematic formula - Google Patents
Track device for verifying kinematic formula Download PDFInfo
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- CN104575189B CN104575189B CN201510062481.3A CN201510062481A CN104575189B CN 104575189 B CN104575189 B CN 104575189B CN 201510062481 A CN201510062481 A CN 201510062481A CN 104575189 B CN104575189 B CN 104575189B
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- Prior art keywords
- track
- steel ball
- scale
- support
- photogate
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/06—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics
- G09B23/08—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics
- G09B23/10—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of solid bodies
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- General Physics & Mathematics (AREA)
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- Business, Economics & Management (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Algebra (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Physics (AREA)
- Computational Mathematics (AREA)
- Educational Administration (AREA)
- Educational Technology (AREA)
- Theoretical Computer Science (AREA)
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- Length Measuring Devices By Optical Means (AREA)
Abstract
The invention discloses a track device for verifying kinematic formula, and belongs to physics teaching appliance. The track device comprises a bracket with adjustable height, a scale for indicating distance, a movement steel ball, a computer universal counter, photo-gates, a level gauge, an angle indicator and a track, wherein the bracket is erected on the ground, the track is supported by the bracket, the level gauge for indicating the track level is installed in the middle position of the front end of the track, the front end of the track is provided with a spring and the steel ball; a horizontal scale for indicating the horizontal displacement of the movement steel ball is installed in the horizontal direction of the track, a vertical scale for indicating the vertical displacement of the movement steel ball is installed in the vertical direction, a ground horizontal scale is arranged on the ground, the ground horizontal scale and the vertical scale are contacted with each other and form an angle of 90 DEG; the two photo-gates are arranged on the track at an interval and respectively connected with the computer universal counter, and the computer universal counter is arranged above the track. The device is scientific in arrangement, simple in experiment process and computing process, and convenient for the students to understand and master.
Description
Technical field
The present invention relates to a kind of educational aid, checking kinesiology formula used in more particularly to a kind of physics teaching
Rail set, this device can verify that freely falling body peace throws feature and the relative motion formula of movement characteristic level throw motion.
Background technology
Generally, when verifying kinesiology formula in physics teaching, the gravity of the counterweight that can be changed with quality serves as external force, leads to
Cross the dolly that fixed pulley pulling is placed on the plane, show the time of moving of car by manual time-keeping, but in experimentation, stopwatch
Timing error is too big, and the systematic error that weight gravity and pulley rotation inertia cause is difficult to eliminate.
Content of the invention
In order to solve many defects present in prior art, the present invention provides a kind of measurement data accurately to verify motion
Learn the rail set of formula.
To achieve these goals, the present invention employs the following technical solutions:
A kind of rail set of checking kinesiology formula, including adjustable for height support, the scale of instruction distance, motion steel
Ball, current counter of computers, photogate, level indicator, angle indicator and track, support stands on ground, and described track is used
Support supports, track front end centre position equipped with the level indicator in order to indicate track level, track anterior equipped with spring, steel ball,
, equipped with the horizontal ruler being used to refer to motion steel ball horizontal displacement, vertical direction is equipped with for instruction motion for the horizontal direction of track
The vertical scale of steel ball vertical displacement, ground is provided with ground level scale, and ground level scale is contacted with vertical scale and becomes
An angle of 90 degrees;Interval setting twice photogate on track, twice photogate is connected with current counter of computers respectively, and computer expert uses tricks
Number device is placed in the top of track.
Preferably, described support is divided into A-frame and single foot support.
Preferably, described single foot support is telescope support, equipped with the tune for adjustable track level on single foot support
Flush nut.
Preferably, described three-legged support is the telescope support of adjustable angle, equipped with inclination angle indicator on three-legged support.
Preferably, the distance between described twice photogate is adjustable, and distance values are shown by horizontal ruler.
Preferably, described track is made up of light aquaplane that scraping.
Using technique scheme, compared with prior art, the present invention verifies kinesiology formula with incline device, adjusts two
Frame is in certain altitude and contour, and adjusting leveling nut makes level indicator instruction level, and the position adjusting photogate 1 and 2 makes the two
Keep at a certain distance away, make it obtain orbital motion after certain initial velocity with letting go after steel ball compression spring known to quality;Rail
On duct device have scale, by rod reading can with accurate measurement steel ball along track movement distance;By two on track
Individual photogate and current counter of computers, instantaneous velocity when two photogate for the recordable steel ball.Checking is flat to throw and freely falls
During the characteristics of motion of body, steel ball A starts to do uniformly accelrated rectilinear motion, and the static steel equal with another quality along track from static
After ball B elastic collision, two ball speed exchange, and A ball does the movement of falling object, and B ball does level throw motion, by vertical scale and ground
The moving displacement of horizontal ruler record steel ball.Device arranges science, and experimentation and calculating process are simple, are easy to student and understand the palm
Hold.
Brief description
Fig. 1 is the structural representation of the present invention.
Fig. 2 is the flat structural representation thrown with movement of falling object rule of checking.
In figure, first photogate 1, current counter of computers 2, second photogate 3, vertical scale 4, single foot support 5,
Leveling nut 6, track 7, three-legged support 8, inclination angle indicator 9, steel ball A10, spring 11, level indicator 12, track level mark
Chi 13, steel ball B14, ground level scale 15.
Specific embodiment
The present invention will be further described below in conjunction with the accompanying drawings.
The invention discloses a kind of experimental provision of checking kinesiology formula, this rail set is by adjustable for height
The compositions such as frame, the scale of instruction distance, motion steel ball, current counter of computers.Concrete structure is shown in accompanying drawing 1.
The track 7 of the present embodiment is made up of plank that scraping, and whole track 7 is supported by adjustable for height metal rack, gold
Belong to support and be divided into A-frame 8 and single foot support 5.The adjustable angle of three-legged support 8, is telescopic support.Single foot support 5
It is telescoping shoring column, equipped with the leveling nut 6 for adjustable track level on single foot support 5.
Track 7 is made with the light aquaplane scraped, and is rectangular configuration.The length of whole track 7 is 100cm, width 50cm.
The front portion of track 7 has the spring groove 13 for spring 11 movement.At fixing in rail 7 length 10cm of three-legged support 8, single foot support
At 5 fixing in rail 7 length 90cm, and two stands are parallel to each other and contour, track 7 single foot support 5 and three-legged support 8
Support, with the triangular structure supporting track 7 of three-legged support 8, this set enhances the firm performance of track 7.Three-legged support 8,
Single foot support 5 two stands are respectively adopted telescopic support, and just adjustable liftable is in order to the height of adjustable track 7, and simultaneously three
The adjustable angle of foot support 8, to change the inclination angle of track 7, single foot support 5 is installed leveling nut 6 with the level of adjustable track 7,
Track 7 front end centre position equipped with level indicator 12 in order to indicate the level of track 7, in order to adjust display track 7 inclination angle size,
Mounted angle indicator 9 on three-legged support 8, the inclination angle size of track 7 is shown by inclination angle indicator 9, so that track 7 tilts
0-45 degree angle, ensures that steel ball A10 does variable accelerated motion.
Equipped with level indicator 12, level indicator 12 adopts air-bubble level, is used for for the middle part of track 7 length width foremost
Indicate the level of track 7.Equipped with the transportable spring in position 11, spring 11 one end and spring groove at level indicator 12 5cm
13 fixations, the other end and steel ball A 10 press fit.The effect of spring 11 is to make steel ball A10 obtain initial velocity by its elastic force.
The long side overlying of whole track 7 has track horizontal ruler 5, for indicating the distance between twice photogate or steel ball
Displacement in rail 7, the minor face of track 7 is covered with vertical scale 4 and is used for indicating that steel ball does level throw motion or freely falling body fortune
Dynamic displacement, when operating with, setting ground horizontal ruler 15 on work surface, ground level scale 15 is connect with vertical scale 4
Touch and become an angle of 90 degrees.The effect of ground level scale 15 is the horizontal displacement of instruction level throw motion steel ball.
Interval setting twice photogate on the surface of whole track 7, between first photogate 1 and second photogate 3
Distance adjustable, and first photogate 1 is direct by track horizontal ruler 14 with the distance between second photogate 3 big I
Reading, the centre position spacing that usual first photogate 1 and second photogate 3 twice photogate are located at track 7 is 50cm
Left and right, the width approximately equal with track 7, first, second twice photogate 1,3 passes through connecting line respectively and computer expert counts
Device 2 connects, and current counter of computers 2 is located at the top of track 7.
In order that steel ball A10 obtain initial velocity, with the surface of the 7cm foremost of the track 7 of steel ball A10 coaxial line at pacify
The adjustable spring of holding position 11, spring 11 is located between level indicator 12 and first photogate 1.
During the characteristics of motion of the flat throwing of checking and freely falling body, steel ball A10 starts to do even acceleration straight line fortune along track 7 from static
After dynamic and equal with another quality steel ball B16 elastic collision being still in track 7 least significant end, two ball speed exchange, steel ball
A10 does the movement of falling object, and steel ball B16 does level throw motion, and the initial position of steel ball A10 motion is different, and steel ball B16 lands
Point is just different.
The current counter of computers 2 of the present invention, scale, level indicator 12, twice photogate are commercially available prod.
The presentation process of the present invention:
As shown in figure 1, it is contour for adjusting three-legged support 8 and the height of single foot support 5, adjust afterwards on single foot support 5
Leveling nut 6 makes level indicator 12 indicate that track 7 is in horizontality, now adjusts first photogate 1 and second photogate 3
The distance between be s, the adjustable compression spring in position 11 be located between level indicator 12 and photogate 1, steel ball A 10 compression spring
Obtain initial velocity, the steel ball A 10 being shown by current counter of computers 9 is respectively by the instantaneous velocity of photogate 1,3、,
If、Numerical approximation equal because track 7 is to scrape plank, motion steel ball A 10 approximately moves with uniform velocity, now adjustable
The angle of section three-legged support 8 makes track 7 there is certain inclination angle theta, and the size of θ is shown by inclination angle indicator 9, and the presence of θ ensures steel
Uniformly accelrated rectilinear motion is done, the force analysis according to mechanics can obtain the acceleration of steel ball A10 motion after ball A10 compression spring 11
Spend and be, the position of mobile first, second road photogate 1,3, change between twice photogate apart from s, can record with
Apart from a series of corresponding steel balls of s through first, second road photogate 1,3 speed、, describeRelation
Curve, verifies kinesiology formula, steel ball A10 is recorded by computer general-purpose calculator 2 and transports from first photogate 1
The time used by second photogate 3 of moving is, describeWith the timeRelation curve, demonstrate, root
Go up experimental data according to this and verify that the average speed during uniform variable motion is equal to the instantaneous velocity of intermediate time.
As shown in Fig. 2 during the characteristics of motion of the flat throwing of checking and freely falling body, the inclination angle of track 7 is still θ, and steel ball A10 is from quiet
Only start to do uniformly accelrated rectilinear motion, and the steel ball B16 bullet that be still in track 7 least significant end equal with another quality along track 7
Property collision rift, two ball speed exchange, and steel ball A10 ball does the movement of falling object, and steel ball B16 does level throw motion, and steel ball A10 motion
Initial position different, then the end speed of steel ball A10 is just different, and the speed of collision rift steel ball B16 changes therewith, thus steel ball
The pick-up point of B16 is just different.
Concrete verification method embodiment:
As shown in figure 1, it is contour for adjusting three-legged support 8 and the height of single foot support 5, adjust afterwards on single foot support 5
Leveling nut 6 make level indicator 12 indicate track 7 be in horizontality, now adjust between first, second road photogate 1,3 away from
From for s, the adjustable compression spring in position 11 is located between level indicator 12 and first photogate 1, and steel ball A10 compression spring 11 obtains
Obtain initial velocity, the steel ball A10 showing by current counter of computers 2 is by the instantaneous velocity of first, second road photogate 1,3 respectively
For、If,、Numerical approximation equal because track 7 is to scrape plank, motion steel ball A10 approximately moves with uniform velocity, this
When scalable three-legged support 8 angle make track 7 there is certain inclination angle theta, the size of θ is shown by inclination angle indicator 9, the presence of θ
Uniformly accelrated rectilinear motion is done, the force analysis according to mechanics can obtain steel ball A10 motion after ensureing steel ball A10 compression spring 11
Acceleration be, the position of mobile first, second road photogate 1,3, change between twice photogate apart from s, can record with
Apart from a series of corresponding steel balls of s through first, second road photogate 1,3 speed、, describeRelation
Curve, the inclination angle that can get this curve is 45 degree, thus verifying kinesiology formula, steel ball is recorded by enumerator
The time that A10 moves to used by second photogate 3 from first photogate 1 is, describeWith the timeRelation bent
Line, the slope of curve is constant, and size is, thus demonstrateThis formula is substituted intoObtain, according to the corresponding difference displacement of above experimental dataThe movement time of steel ball is, thus can calculate different fortune
The average speed of steel ball in the case of dynamic, then steel ball is in the speed of intermediate time, i.e. uniform variable motion process
In average speed be equal to intermediate time instantaneous velocity.
The formula checking being zero uniformly accelerated motion for initial velocity only need to be by the initial velocity in above-mentioned formulaSubstituting into zero is
Can verify that, and the formula checking for linear uniform motion need to be by the acceleration in above-mentioned formulaSubstitute into zero to can verify that.
As shown in Fig. 2 during the characteristics of motion of the flat throwing of checking and freely falling body, the inclination angle of track 7 is still θ, static steel ball A10
Obtain initial velocity after compression spring 11, make steel ball B16 be still in the least significant end of track 7, the position of steel ball B16 ensures steel ball A10
After bumping against with steel ball B16 elasticity, steel ball A10 does the movement of falling object, and steel ball B16 does level throw motion.Steel ball A10 and another quality
After the equal steel ball B16 elastic collision being still in track 7 least significant end, two ball speed exchange, and steel ball A10 ball does freely falling body fortune
Dynamic, steel ball B16 does level throw motion, and steel ball A10 apart from steel ball B16 distance be followed successively by 10cm, 20cm, 30cm, 40cm,
50cm, then after two ball in rail end elastic collisions, steel ball A10 speed is zero, touches rear steel ball with above-mentioned apart from corresponding
The ratio of speed that B16 obtains is, experiment proves that two steel ball A10, B16 can land simultaneously, that is, two balls
Movement time identical, and the ratio of distances constant of two ball pick-up points is, thus proving level throw motion steel ball B16
Horizontal direction is linear uniform motion, and vertical direction is all freely falling body, therefore level throw motion steel with steel ball A10 motion conditions phase
The kinesiology formula of ball B16 is:,WhereinFor acceleration of gravity,For horizontally and vertically displacement,For
Movement time, and before colliding, steel ball A10 is more remote with the distance of steel ball B16, then and after colliding, the pick-up point of steel ball B16 is more remote.
Above-described embodiment only have expressed one embodiment of the present invention, but can not therefore be interpreted as to model of the present invention
The restriction enclosed.It should be pointed out that for the person of ordinary skill of the art, without departing from the inventive concept of the premise, also
Some deformation can be made and improve, these broadly fall into protection scope of the present invention.
Claims (6)
1. a kind of rail set of checking kinesiology formula, including adjustable for height support, the scale of instruction distance, motion steel
Ball, current counter of computers, photogate, level indicator, angle indicator and track, support stands on ground, and described scale divides
For horizontal ruler, vertical scale and ground level scale it is characterised in that described track support supports, in track front end
Between position equipped with the level indicator in order to indicate track level, track anterior equipped with spring, motion steel ball, the horizontal direction dress of track
There is the horizontal ruler being used to refer to motion steel ball horizontal displacement, vertical direction is equipped with for indicating the perpendicular of motion steel ball vertical displacement
Straight scale, ground is provided with ground level scale, and ground level scale is contacted with vertical scale and becomes an angle of 90 degrees;It is spaced on track
Setting twice photogate, twice photogate is connected with current counter of computers respectively, and current counter of computers is placed in the upper of track
Side.
2. the rail set of checking kinesiology formula according to claim 1 is it is characterised in that described support is divided into three
Foot support and single foot support.
3. the rail set of checking kinesiology formula according to claim 2 is it is characterised in that described single foot support is
Telescope support, equipped with the leveling nut for adjustable track level on single foot support.
4. the rail set of checking kinesiology formula according to claim 2 is it is characterised in that described three-legged support is
The telescope support of adjustable angle, equipped with angle indicator on three-legged support.
5. the rail set of checking kinesiology formula according to claim 1 is it is characterised in that described twice photogate
The distance between adjustable, and distance values show by horizontal ruler.
6. the rail set of checking kinesiology formula according to claim 1 is it is characterised in that described track is by scraping
Light aquaplane make.
Priority Applications (1)
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CN201510062481.3A CN104575189B (en) | 2015-02-06 | 2015-02-06 | Track device for verifying kinematic formula |
Applications Claiming Priority (1)
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CN201510062481.3A CN104575189B (en) | 2015-02-06 | 2015-02-06 | Track device for verifying kinematic formula |
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CN104575189A CN104575189A (en) | 2015-04-29 |
CN104575189B true CN104575189B (en) | 2017-02-22 |
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CN108764791B (en) * | 2018-05-22 | 2022-06-14 | 四川众联航泰科技有限公司 | Method for calculating delivery time of material delivery nacelle |
CN112863308B (en) * | 2021-01-27 | 2022-06-03 | 唐山学院 | Experimental device for verifying Newton's three-law |
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CN2075371U (en) * | 1990-10-25 | 1991-04-17 | 李华 | Tester for parabola and collision moving |
CN101231793A (en) * | 2007-01-24 | 2008-07-30 | 上海市向明中学 | Apparatus capable of recoding free falling body flat throw and inclined throw movements |
CN201174183Y (en) * | 2007-04-30 | 2008-12-31 | 李铁 | Validation instrument for validating the Newton 2 Law |
CN201716907U (en) * | 2010-05-21 | 2011-01-19 | 杜建舟 | Comprehensive mechanics experimental instrument |
CN202258041U (en) * | 2011-10-13 | 2012-05-30 | 王玉 | Newton first law demonstrator |
CN203192278U (en) * | 2013-03-25 | 2013-09-11 | 唐福增 | Experiment teaching aid for horizontal projectile motion |
CN203465870U (en) * | 2013-09-29 | 2014-03-05 | 浙江师范大学 | Teaching aid for demonstrating horizontal projectile motion |
CN104157206B (en) * | 2014-08-26 | 2017-05-03 | 北京印刷学院 | Multifunctional planar linkage mechanism demonstration instrument and implementation method thereof |
CN204143707U (en) * | 2014-11-20 | 2015-02-04 | 唐山学院 | The device of Verify Newton Second Law and theorem of kinetic energy |
CN204423763U (en) * | 2015-02-06 | 2015-06-24 | 唐山学院 | The rail set of checking kinematics formula |
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