CN108510851B - Method for demonstrating rotation variable parabola - Google Patents
Method for demonstrating rotation variable parabola Download PDFInfo
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- CN108510851B CN108510851B CN201810343169.5A CN201810343169A CN108510851B CN 108510851 B CN108510851 B CN 108510851B CN 201810343169 A CN201810343169 A CN 201810343169A CN 108510851 B CN108510851 B CN 108510851B
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- rectangular box
- water containing
- containing rectangular
- water
- motor
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- 238000000034 method Methods 0.000 title claims abstract description 10
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 122
- 239000007788 liquid Substances 0.000 claims abstract description 47
- 239000003350 kerosene Substances 0.000 claims abstract description 39
- 238000004043 dyeing Methods 0.000 claims abstract description 37
- 229920003023 plastic Polymers 0.000 claims abstract description 18
- 239000004033 plastic Substances 0.000 claims abstract description 16
- 239000011347 resin Substances 0.000 claims abstract description 4
- 229920005989 resin Polymers 0.000 claims abstract description 4
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 claims description 6
- 229910052742 iron Inorganic materials 0.000 claims description 3
- 239000000463 material Substances 0.000 claims description 3
- 230000000694 effects Effects 0.000 abstract description 2
- 238000004519 manufacturing process Methods 0.000 abstract 2
- 238000002474 experimental method Methods 0.000 description 10
- 238000011160 research Methods 0.000 description 3
- 239000009951 qiqi Substances 0.000 description 2
- 230000000007 visual effect Effects 0.000 description 2
- 230000007547 defect Effects 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
Images
Classifications
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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
- G09B23/12—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for physics for statics or dynamics of liquids or gases
-
- 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
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
Abstract
The patent discloses a method of rotatory variable parabola demonstration mainly comprises water, dyeing kerosene, dress water flat square box, motor, power, desk and cell-phone, characterized by: a plastic rotating disc is fixed on a rotating shaft of the motor, the water containing rectangular boxes are inserted into grooves of the plastic rotating disc and fixed, one end of a light straight rod is perpendicular to the water containing rectangular boxes and fixed on the plastic rotating disc, and the other end of the light straight rod is fixed with the mobile phone; the water containing rectangular box is a rectangular box made of a transparent resin plate and provided with a hole at the top, a grid is carved on one side surface of the water containing rectangular box, a certain amount of water and dyeing kerosene are filled in the water containing rectangular box, and a rubber plug is inserted into the rectangular box hole to seal the water containing rectangular box; the demonstration is that the fashionable dress water flat square box and the mobile phone rotate along with the motor at the same angular speed, the dyeing kerosene liquid level in the dress water flat square box under the corresponding rotating speed is observed, the parabolic equation rule of the rotating liquid level is explored, and the interface rule of two immiscible liquids rotating synchronously is explored. Low manufacturing cost, easy manufacture and obvious effect.
Description
Technical Field
The patent relates to demonstration of a rotary variable parabola, and belongs to the field of college mathematical experiment instruments.
Background
The concept of a rotation parabola is commonly used in college physics courses and advanced mathematics courses, particularly for university students in the course of mechanics of beginners, the proving that the liquid level of a rotation liquid is a paraboloid is difficult to understand, the patent inventor also provides a series of researches in the document [1], and corresponding demonstration experiments are lacked, the prior art is mainly researched by using a Newton water bucket experiment, the time spent on the rotation liquid reaching the same angular speed is longer due to the viscosity of the liquid, the observation is also difficult, and the experimental demonstration of the interface (boundary line) rule of two immiscible liquids rotating synchronously is lacked, so that a better credible and quantitative demonstration experiment is not provided for the problem at present, how to realize the demonstration experiment instrument and method with rich content, obvious visual effect and credible effect needs to be solved. The patent is completed under the support of a national natural fund project (project number: 11405092), a basic business fee scientific research project (project number: 135209251) of high schools belonging to provinces of Heilongjiang province, a teaching, modification and application project (project number: SJGY 20170385) of high schools of Heijhal city and a scientific and technical project (project number: GYGG-201423) of Qiqi hal city (inventor glaze is a student of Qiqi hal middle schools).
Reference documents:
[1] the beam law library was developed with the mechanical problem [ J ] university Physics: stage 10 of 1987.
Disclosure of Invention
The patent is a method for demonstrating a rotary variable parabola in a classroom or in class, and particularly relates to a technology and a method for realizing a dynamic variable parabola by rotating a water containing rectangular box and a mobile phone at the same angular speed under the drive of a motor.
This patent technical scheme: a method for demonstrating a rotary variable parabola is mainly composed of water, dyed kerosene, a water containing rectangular box, a motor, a power supply, a table and a mobile phone, and is characterized in that: the motor is fixed on a panel of the insulated table through a motor fixing sleeve, the motor fixing sleeve is made of an iron plate material, a plastic turntable is fixed on a motor rotating shaft, the plastic turntable is a groove which is provided with a rotating shaft and matched with the water containing rectangular box, the water containing rectangular box is inserted into the groove of the plastic turntable and fixed, and a central shaft of the water containing rectangular box and the motor rotating shaft are on the same straight line; one end of a light straight rod is vertical to the water containing rectangular box and is fixed on the plastic rotary table, and the other end of the light straight rod is fixed with a mobile phone (at least a smart phone with the functions of photographing, video recording, sound control and anti-shake), so that the water containing rectangular box is ensured to be in the camera shooting range of the mobile phone (the mobile phone is opposite to the water containing rectangular box); the water containing rectangular box is a rectangular box made of a transparent resin plate (transparent plastic plate) and provided with a hole at the top, a grid (drawing square) is engraved (printed) on one side face (the side face opposite to the mobile phone) of the water containing rectangular box, a certain amount of water (the inner space 1/4-1/2 of the water containing rectangular box) and a little dyeing kerosene (a thin layer is formed on the water surface so as to facilitate observation of the surface of the water, only water can be used, and a little dyeing kerosene is not added) are filled in the water containing rectangular box, or the water in the inner space 1/4 of the water containing rectangular box and the dyeing kerosene in the inner space 1/4 of the water containing rectangular box are filled in the water containing rectangular box, and a rubber plug is inserted into the hole of the rectangular box to seal the water containing rectangular box;
two through holes are formed in the panel of the table for the lead with the insulating skin to pass through, and the motor is connected with a power supply fixed on the panel of the table through the lead with the insulating skin and the speed change switch;
during demonstration, the mobile phone is turned on to be in a video recording or photographing state (a direct broadcasting function can also be started), the water containing rectangular box is adjusted to be in a camera shooting range of the mobile phone, the speed change switch is closed, the water containing rectangular box and the mobile phone rotate together with the motor at the same angular speed, the speed change switch adjusts the rotating speed of the motor, 1) under the condition that a certain amount of water (an inner space 1/4-1/2 of the water containing rectangular box) and a little dyeing kerosene (a thin layer is formed on the water surface) are filled into the water containing rectangular box, the dyeing kerosene liquid level in the water containing rectangular box at the corresponding rotating speed can be observed (namely the dyeing kerosene liquid level is observed and corresponds to the position of the side surface of the water containing rectangular box with grids engraved at the same height), data are read through the shot liquid level image, and data fitting, analysis and a parabolic equation; 2) similarly, under the condition that water in the space 1/4 of the water containing rectangular box and dyeing kerosene in the space 1/4 of the water containing rectangular box are filled in the water containing rectangular box, the upper liquid level of the dyeing kerosene in the water containing rectangular box at the corresponding rotating speed (namely, the upper liquid level of the dyeing kerosene and the side surface of the water containing rectangular box, which is engraved with a grid, are observed at the same height and correspond to each other) and the lower liquid level of the dyeing kerosene at the joint with the water surface (namely, the lower liquid level of the dyeing kerosene and the side surface of the water containing rectangular box, which is engraved with a grid, are observed at the same height and correspond to each other) can be observed at the same time, and the data are read through the corresponding positions of the upper liquid level of the dyeing kerosene and the lower liquid level of the dyeing kerosene on the side surface of the rectangular box, which is engraved with a grid, so as to perform data fitting; 3) the liquid level and interface equations of the demonstration experiments 1) and 2) are compared at the same angular velocity.
Proof that the liquid level of the liquid in the water containing rectangular box is parabolic: liquid surface liquid infinitesimal element
Analysis of stress, supporting force
Gravity force
Establishing a horizontal radial direction of
The axis is positive and vertically upward
Axial forward direction
Equation of ledeb
Simultaneous derivation of
The bottom of the barrel is selected as the origin of coordinates,
the distance from the vertex of the parabola to the bottom of the barrel.
Compared with the prior art, the patent has the advantages that: 1. because the water is filled by the flat square box, the defect that the liquid in the conventional rotating water bucket mainly rotates by viscous force is overcome, and the time for the liquid to rotate at the same angular speed can be shortened; 2. the image pickup equipment is adopted to rotate at the same angular speed as the liquid to be picked up, and the image which is obtained by using the stroboscopic photograph in the past is replaced, and the image which is still relative to the rotating liquid and is picked up on the mobile phone is reflected; 3. a drawing grid is arranged on the side surface of the flat square box, and data reading and fitting can be performed to obtain a rotation parabola rule; 4. the interface (boundary) rule of two immiscible liquids rotating synchronously can be observed. The demonstration experiment instrument and the demonstration experiment method are good in inspiring performance, ingenious in conception, simple in structure, easy to implement, convenient to operate and obvious in visual effect.
Drawings
FIG. 1 is a schematic structural diagram of the patent. Wherein: 1. the device comprises a motor, 2. a motor fixing sleeve, 3. a table, 4. a plastic rotating disc, 5. a water containing rectangular box, 6. a power supply, 7. a conducting wire, 8. a mobile phone, 9. a rotating liquid level (a position line corresponding to the side surface of the water containing rectangular box engraved with grids), 10. a variable speed switch
Detailed Description
As shown in the attached drawings: a method for demonstrating a rotary variable parabola is mainly composed of a water containing rectangular box 5, a motor 1, a power supply 6, a table 3 and a mobile phone 8, and is characterized in that: the electric motor 1 is fixed on a panel of an insulated table 3 through an electric motor fixing sleeve 2, the electric motor fixing sleeve 2 is made of an iron plate material, a plastic turntable 4 is fixed on a rotating shaft of the electric motor 1, the plastic turntable 4 is a groove which is provided with a rotating shaft and matched with a water containing rectangular box 5, the water containing rectangular box 5 is inserted into the groove of the plastic turntable 4 for fixing, and a central shaft of the water containing rectangular box 5 and the rotating shaft of the electric motor 1 are on the same straight line; one end of a light straight rod is perpendicular to the water containing rectangular box 5 and is fixed on the plastic rotary table 4, and the other end is fixed with a mobile phone 8 (having functions of photographing, video recording, sound control and the like) to ensure that the water containing rectangular box 5 is in the camera shooting range of the mobile phone 8 (the mobile phone 8 is over against the water containing rectangular box 5); the water containing rectangular box 5 is a rectangular box made of a transparent resin plate (transparent plastic plate) and provided with a hole at the top, a grid (drawing square) is engraved (printed) on one side face (the side face opposite to the mobile phone 8) of the water containing rectangular box 5, the distance between the two side faces of the water containing rectangular box 5 is 1-3 mm, a certain amount of water (an inner space 1/4-1/2 of the water containing rectangular box 5) and a little dyeing kerosene (a thin layer is formed on the water surface) are filled into the water containing rectangular box 5, or the water for the inner space 1/4 of the water containing rectangular box 5 and the dyeing kerosene for the inner space 1/4 of the water containing rectangular box 5 are filled into the water containing rectangular box 5, and a rubber plug is inserted into a rectangular box hole to seal the water containing rectangular box 5;
two through holes are formed in the panel of the table 3 and used for a lead 7 with an insulating skin to pass through, and the motor 1 is connected with a power supply 6 fixed on the panel of the table 3 through the lead 7 with the insulating skin and a speed change switch 10;
during demonstration, the mobile phone 8 is turned on to be in a video recording or photographing state (a live broadcast function can be started to be thrown on a large screen of a classroom together with a student mobile phone or multimedia equipment), the water containing rectangular box 5 is adjusted to be located in the camera shooting range of the mobile phone 8, the speed change switch 10 is turned on, the water containing rectangular box 5 and the mobile phone 8 rotate together with the motor 1 at the same angular speed, and the speed change switch 10 adjusts the rotating speed of the motor 1;
1) under the condition that a certain amount of water (the inner space 1/4-1/2 of the water containing rectangular box) and a little dyeing kerosene (a thin layer is formed on the water surface) are filled into the water containing rectangular box 5, the dyeing kerosene liquid level 9 in the water containing rectangular box 5 at a corresponding rotating speed can be observed (namely the dyeing kerosene liquid level and the side surface of the water containing rectangular box 5 with a grid carved on the side surface are observed at the corresponding positions at the same height), data are read through the shot image of the dyeing kerosene liquid level 9, and data fitting, analysis and a parabolic equation are carried out;
2) similarly, the water in the inner space 1/4 of the water containing rectangular box 5 and the dyeing kerosene in the inner space 1/4 of the water containing rectangular box 5 are filled into the water containing rectangular box 5, the upper liquid level 9 of the dyeing kerosene in the water containing rectangular box 5 at the corresponding rotating speed (namely, the position of the upper liquid level of the dyeing kerosene corresponding to the side surface of the water containing rectangular box engraved with the grid at the same height) and the lower liquid level of the dyeing kerosene at the position connected with the water surface (namely, the position of the lower liquid level of the dyeing kerosene corresponding to the side surface of the water containing rectangular box engraved with the grid at the same height) can be observed at the same time, and the data is read through the positions of the upper liquid level of the ingested dyeing kerosene corresponding to the side surface of the water containing rectangular box 5 engraved with the grid, so as to perform data fitting, analysis and research on the equation law of incompatible liquid interfaces (boundary lines).
3) And (3) comparing the liquid level and interface equations of the water containing rectangular boxes 5 in the demonstration experiment 1) and the demonstration experiment 2) at the same angular speed.
Claims (1)
1. A method for demonstrating a rotary variable parabola is mainly composed of water, dyed kerosene, a water containing rectangular box, a motor, a power supply, a table and a mobile phone, and is characterized in that: the motor is fixed on a panel of the insulated table through a motor fixing sleeve, the motor fixing sleeve is made of an iron plate material, a plastic turntable is fixed on a motor rotating shaft, the plastic turntable is a groove which is provided with a rotating shaft and matched with the water containing rectangular box, the water containing rectangular box is inserted into the groove of the plastic turntable and fixed, and a central shaft of the water containing rectangular box and the motor rotating shaft are on the same straight line; one end of a light straight rod is perpendicular to the water containing rectangular box and fixed on the plastic rotary table, and the other end of the light straight rod is fixed on the mobile phone to ensure that the water containing rectangular box is in the camera shooting range of the mobile phone and the water containing rectangular box rotate at the same angular speed; the water containing rectangular box is a rectangular box made of a transparent resin plate and provided with a hole at the top, a grid is carved on one side surface of the water containing rectangular box, a certain amount of water and a little dyeing kerosene are filled in the water containing rectangular box, or the water in the inner space 1/4 of the water containing rectangular box and the dyeing kerosene in the inner space 1/4 of the water containing rectangular box are filled in the water containing rectangular box, and a rubber plug is inserted into a rectangular box hole to seal the water containing rectangular box; two through holes are formed in the panel of the table for the lead with the insulating skin to pass through, and the motor is connected with a power supply fixed on the panel of the table through the lead with the insulating skin and the speed change switch; the water containing rectangular box is adopted to shorten the time required by the liquid to rotate at the same angular speed;
during demonstration, the mobile phone is turned on to be in a video or photo state, the water containing rectangular box is adjusted to be in the camera shooting range of the mobile phone, the speed change switch is turned on, the water containing rectangular box and the mobile phone rotate together with the motor at the same angular speed, the speed change switch adjusts the rotating speed of the motor,
1) under the condition that a certain amount of water and a little dyeing kerosene are filled in the water containing rectangular box, the dyeing kerosene liquid level in the water containing rectangular box under the corresponding rotating speed can be observed, data is read through the shot liquid level image, and data fitting, analysis and exploration of a parabolic equation are carried out;
2) under the condition that water in the inner space 1/4 of the water containing rectangular box and dyeing kerosene in the inner space 1/4 of the water containing rectangular box are filled in the water containing rectangular box, the upper liquid level of the dyeing kerosene in the water containing rectangular box and the lower liquid level of the dyeing kerosene at the joint of the upper liquid level and the water surface at the corresponding rotating speed can be observed at the same time, the corresponding positions of the side surfaces of the water containing rectangular box, which are carved with grids, are corresponded through the upper liquid level of the dyeing kerosene and the lower liquid level of the dyeing kerosene, data are read, and data fitting, analysis and incompatible liquid interface equation rules are carried out.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810343169.5A CN108510851B (en) | 2018-04-17 | 2018-04-17 | Method for demonstrating rotation variable parabola |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810343169.5A CN108510851B (en) | 2018-04-17 | 2018-04-17 | Method for demonstrating rotation variable parabola |
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| Publication Number | Publication Date |
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| CN108510851A CN108510851A (en) | 2018-09-07 |
| CN108510851B true CN108510851B (en) | 2020-06-19 |
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| CN201810343169.5A Expired - Fee Related CN108510851B (en) | 2018-04-17 | 2018-04-17 | Method for demonstrating rotation variable parabola |
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Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109754679A (en) * | 2019-03-21 | 2019-05-14 | 北京理工大学 | Hydrostatic pressure is distributed demonstration instrument for teaching |
| CN112289148B (en) * | 2020-10-25 | 2023-07-18 | 齐齐哈尔大学 | Contains periodic variation factor cos omega 1 t parabolic demonstration instrument |
| CN113393740B (en) * | 2021-05-28 | 2022-04-26 | 浙江大学 | Testing device for researching projectile motion under influence of rotating coordinate system |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1085194A (en) * | 1992-12-30 | 1994-04-13 | 邹德长 | Produce parabolic mirror with rotational method |
| CN105679154A (en) * | 2016-04-07 | 2016-06-15 | 齐齐哈尔大学 | Mechanics experimental instrument of rotation paraboloid |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN201812410U (en) * | 2010-09-21 | 2011-04-27 | 上海科技馆 | Experimental facility for demonstrating change in liquid forms under action of centrifugal force |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1085194A (en) * | 1992-12-30 | 1994-04-13 | 邹德长 | Produce parabolic mirror with rotational method |
| CN105679154A (en) * | 2016-04-07 | 2016-06-15 | 齐齐哈尔大学 | Mechanics experimental instrument of rotation paraboloid |
Non-Patent Citations (2)
| Title |
|---|
| 圆筒容器内起旋和降旋过程中分层液体混合现象;柴明明等;《力学与实践》;20160831;第38卷(第4期);第407-412页 * |
| 旋转液体实验装置的设计;袁野等;《物理实验》;20040228;第24卷(第2期);第43-46页 * |
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Granted publication date: 20200619 |