CN102938226A - Comprehensive demonstration instrument for demonstrating angular momentum conservation and rotational inertia and demonstrating method thereof - Google Patents
Comprehensive demonstration instrument for demonstrating angular momentum conservation and rotational inertia and demonstrating method thereof Download PDFInfo
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- CN102938226A CN102938226A CN2012104931662A CN201210493166A CN102938226A CN 102938226 A CN102938226 A CN 102938226A CN 2012104931662 A CN2012104931662 A CN 2012104931662A CN 201210493166 A CN201210493166 A CN 201210493166A CN 102938226 A CN102938226 A CN 102938226A
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Abstract
The invention relates to a comprehensive demonstration instrument for demonstrating angular momentum conservation and rotational inertia. The comprehensive demonstration instrument is characterized by comprising a singlechip, a digging rope motor and a variable frequency driving motor, wherein the singlechip is used as the control center of the comprehensive demonstration instrument. The comprehensive demonstration instrument further comprises a support shaft, wherein a rotating arm which rotates along with the support shaft is arranged on the support shaft; heavy balls are sleeved at two sides of the rotating arm; the heavy balls are connected with an edge digging rope and are driven by the digging rope; the two heavy balls are pulled to synchronously move inwards/outwards along the rotating arm; the support shaft is connected with the center of an outer rotating disc below the support shaft; a clamping groove is formed below the outer rotating disc; the clamping groove is gear-shaped; the clamping groove is internally provided with an inner rotating disc; the inner rotating disc is fixedly connected with a clamping plate through a torsional spring; the clamping plate corresponds to the clamping groove; when the variable frequency driving motor is started, the inner rotating disc is driven by the variable frequency driving motor to rotate, the torsional spring deforms, the clamping plate is meshed with the clamping groove, the outer rotating disc is driven to rotate, and the outer rotating disc drives the support shaft to rotate; and when the variable frequency driving motor is stopped, the speed of the inner rotating disc is smaller than the speed of the outer rotating disc, the torsional spring resets, and the clamping plate is separated from the clamping groove.
Description
Technical field
The present invention relates to a kind of comprehensive demonstration instrument and demenstration method thereof of demonstrating the conservation of angular momentum and moment of inertia, belong to science and education equipment technical field.
Background technology
Along with update and the development of science and education product, the raising of society need, colleges and universities and some scientific research manufacturers also turn to sight the science and education produce market.Angular momentum conservation law is one of the most general law of nature, and the conservation of angular momentum and Turning Theorem have a wide range of applications in actual life, such as the utilization of simulated gravity in aerospace industry; Turning Theorem and the law of conservation of angular momentum are again two important knowledge points of mechanics, yet the principle demonstration instructional device of the existing conservation of angular momentum and moment of inertia theorem all divides and comes.
The device of the general checking conservation of angular momentum is a swivel chair that can rotate freely around vertical rotating shaft, and display packing is: the demonstrator is sitting on the swivel chair, holds dumbbell, extend ones arms horizontally.Swivel chair is rotated, then shrink both arms, can see that the rotating speed of people and stool significantly strengthens.Two arms are flat stretching once again, and rotating speed slows down.This is because the angular momentum of the object that rotates around fixed rotating shaft equals the product of its moment of inertia and angular velocity, and moment of face is when equalling zero, the conservation of angular momentum.When the people shrank both arms, moment of inertia reduced, so angular velocity increases.
The device of general Rotary Inertia is that two rigid objects carry out respectively the moment of inertia demonstration, it is compared, thereby verified the principle of moment of inertia, and its result only can detect by an unaided eye.
In sum, existing moment of inertia apparatus for demonstrating and angular momentum conservation demonstration device are two devices independently, need respectively to demonstrate, and nil show, can only visual inspection, and the demonstration poor effect.
Summary of the invention
The technical issues that need to address of the present invention are: existing moment of inertia apparatus for demonstrating and angular momentum conservation demonstration device are two devices independently, need to demonstrate respectively, and the demonstration poor effect.In order to study better and to show its physical principle, the present invention combines the two dexterously, uses Computer Control Technology, a kind of novel conservation of angular momentum and the moment of inertia comprehensive demonstration instrument developed.The conservation of angular momentum and moment of inertia theorem are demonstrated out by same instrument, and realize the visual of dynamic process.
The present invention takes following technical scheme:
A kind of comprehensive demonstration instrument of demonstrating the conservation of angular momentum and moment of inertia comprises single-chip microcomputer, the stay cord motor, and variable frequency drive motors, described single-chip microcomputer can obtain the rotating speed of described variable frequency drive motors as the control center of described comprehensive demonstration instrument; Also comprise back shaft 2, described back shaft 2 is provided with each sheathed heavy ball 1 of pivot arm 4 described pivot arms 4 both sides of thereupon rotating, described heavy ball 1 be connected along stay cord 3, described stay cord 3 arranges along pivot arm 4, and by described stay cord driven by motor, it is synchronously inwardly/outwards mobile along described pivot arm 4 to spur two heavy ball; Described back shaft 2 is connected with the center of the outer rotary table 7 of below, and described outer rotary table 7 belows have draw-in groove 701, and described draw-in groove 701 is gear shape; Be provided with inner rotary table 8 in the described draw-in groove 701, be fixedly connected with clamp 801 by torsion spring 802 on the described inner rotary table 8, described clamp 801 is corresponding with described draw-in groove 701; Described variable frequency drive motors is opened, and described inner rotary table 8 is driven by variable frequency drive motors and rotates, torsion spring 802 distortion, and clamp 801 and draw-in groove 701 engagements drive unofficial biography dish 7 and rotate, and described unofficial biography dish 7 drives back shaft 2 and rotates; Described variable frequency drive motors is shut down, and inner rotary table 8 rotating speeds are less than the rotating speed of unofficial biography dish 7, and torsion spring 802 resets, and clamp 801 breaks away from described draw-in groove 802.
Also comprise display screen 5, described display screen 5 is connected with described single-chip microcomputer, can show the rotating speed of described variable frequency drive motors.
Also comprise button 6, described button 6 is connected with described single-chip microcomputer.
A kind of demenstration method that uses above-mentioned comprehensive demonstration instrument to carry out the conservation of angular momentum may further comprise the steps:
1) bead is located at pivot arm 4 two ends;
2) start variable frequency drive motors, back shaft 2 drives and rotates, and pivot arm 4 rotates, and heavy ball 1 is rotated synchronously;
3) reach set rotating speed after, variable frequency drive motors is shut down, clamp 801 separates with draw-in groove 701;
4) stay cord driven by motor stay cord 3 spurs to the inside, and the pivot arm faster rotational speed is inwardly slided in two heavy ball 1 synchronously along pivot arm 4;
5) stay cord motor pulling stay cord 3 spurs laterally, and two heavy ball 1 are outwards slided along pivot arm 4 synchronously, and the pivot arm rotating speed slows down.
A kind of method of using above-mentioned comprehensive demonstration instrument to carry out the moment of inertia demonstration is characterized in that, may further comprise the steps:
1) bead is located at pivot arm 4 two ends;
2) start variable frequency drive motors, back shaft 2 drives and rotates, and pivot arm 4 rotates, and heavy ball 1 is rotated synchronously;
3) rotating speed that shows on the record display screen 5;
4) variable frequency drive motors is shut down, and clamp 801 separates with draw-in groove 701, and pivot arm 4 inertia rotate;
5) record pivot arm 4 is until stop the required time;
6) start the stay cord motor, stop after stay cord pulling heavy ball 4 is moved a segment distance to the centre, repeat above-mentioned steps 1), 2);
7) until rotating speed is identical with rotating speed in the step 3);
8) repeating step 4), 5).
Characteristics of the present invention are: the demonstration of the theorem of conservation of angular momentum principle and moment of inertia is combined in the same experimental provision, utilizes single-chip microcomputer as control system, carries out the control of practical operation by button.Simultaneously, the ingenious structure of having utilized chuck and clamp, simple in structure, utilize torsion spring, the clamp vertical direction need not to break away from draw-in groove just can realize separating of clamp and draw-in groove, has realized easily the driving of back shaft 2 and stops to drive.
The present invention is directed to the existing conservation of angular momentum and moment of inertia theorem apparatus for demonstrating and all be demonstrate respectively present situation, the two is combined dexterously, control by single-chip microcomputer, can carry out comprehensive demonstration to two principles, can more clearly see the dynamic changing process of whole principle demonstration, record at any time delta data.
Beneficial effect of the present invention is:
(1) rational in infrastructure, cost is lower.
(2) easy to use and the cycle is long.
(3) have higher security, science.
(4) visualization is high, has human oriented design.
(5) have commercial value, and create larger economic benefit.
Description of drawings
Fig. 1 is the profile synoptic diagram of the conservation of angular momentum of the present invention and moment of inertia comprehensive demonstration instrument.
Fig. 2 is that the master of unofficial biography dish looks synoptic diagram.
Fig. 3 is the elevational schematic view of outer rotary table.
Fig. 4 is the elevational schematic view of inner rotary table.
Fig. 5 is the elevational schematic view after unofficial biography dish and the inner rotary table engagement.
Fig. 6 is the elevational schematic view after the unofficial biography dish separates with inner rotary table.
Fig. 7 is inner rotary table and the schematic perspective view of going up the clamp that connects by torsion spring thereof.
Wherein, 1, heavy ball, 2, back shaft, 3, stay cord, 4, pivot arm, 5, display screen, 6, button, 7, the unofficial biography dish, 8, inner rotary table, 701, draw-in groove, 801 clamps, 802.Torsion spring.
Embodiment
The present invention is further described below in conjunction with specific embodiment.
Shown in Fig. 1-7, a kind of comprehensive demonstration instrument of demonstrating the conservation of angular momentum and moment of inertia comprises single-chip microcomputer, the stay cord motor, and variable frequency drive motors, single-chip microcomputer can obtain the rotating speed of described variable frequency drive motors as the control center of described comprehensive demonstration instrument; Also comprise back shaft 2, back shaft 2 is provided with each sheathed heavy ball 1 of pivot arm 4 described pivot arms 4 both sides of thereupon rotating, heavy ball 1 be connected along stay cord 3, stay cord 3 arranges along pivot arm 4, and by described stay cord driven by motor pulling, it is synchronously inwardly/outwards mobile along described pivot arm 4 to spur two heavy ball; Back shaft 2 is connected with the center of the outer rotary table 7 of below, and outer rotary table 7 belows have draw-in groove 701, and draw-in groove 701 is gear shape; Be provided with inner rotary table 8 in the draw-in groove 701, be fixedly connected with clamp 801 by torsion spring 802 on the inner rotary table 8, clamp 801 is corresponding with draw-in groove 701; Variable frequency drive motors is opened, and inner rotary table 8 is driven by variable frequency drive motors and rotates, torsion spring 802 distortion, and clamp 801 and draw-in groove 701 engagements drive unofficial biography dish 7 and rotate, and unofficial biography dish 7 drives back shaft 2 and rotates; Variable frequency drive motors is shut down, and inner rotary table 8 rotating speeds are less than the rotating speed of unofficial biography dish 7, and torsion spring 802 resets, and clamp 801 breaks away from described draw-in groove 802.Also comprise display screen 5, display screen 5 is connected with single-chip microcomputer, can show the rotating speed of variable frequency drive motors.Also comprise button 6, described button 6 is connected with described single-chip microcomputer, and described comprehensive demonstration instrument is operated control.
As shown in Figure 1, the plugged line turns on the power switch, and shows screen display " conservation of angular momentum and moment of inertia comprehensive demonstration instrument ", presses left side button and selects to carry out " angular momentum experiment ", " Experiment of Moment of Inertia " or " two ball position adjustment ".Under " angular momentum experiment " pattern, button in the middle of pressing, back shaft 2 rotations this moment, the rotating speed of record back shaft 2 this moment, press the button on the right, at this moment by stay cord 3 heavy ball 4 is pulled to position near back shaft 2 centers, this moment, the speed of pivot arm 4 was obviously accelerated, and variable frequency drive motors starts after about 1 second, make the rotating speed of turning axle 2 maintain about 256rpm, again press the button on the right, two balls are discharged into the two ends of pivot arm 4, and this moment, pivot arm 4 speed were obviously slack-off, after about 1 second, variable frequency drive motors starts, and makes the rotating speed of pivot arm 4 maintain about 97rpm, and so forth.
Before being transformed into another pattern, first by middle button, make the variable frequency drive motors stall, press again left side button and carry out the pattern conversion, enter " Experiment of Moment of Inertia " pattern, button in the middle of pressing, two heavy ball 1 this moment are pulled to the center near pivot arm 4, and variable frequency drive motors is rotated, after reaching the 210rpm rotating speed, rate-of-turn record is got off, press again the right button, variable frequency drive motors stall this moment, clamp 801 separates with draw-in groove 701, be rotated further under back shaft 2 inertia effect, because frictional resistance finally stops, single-chip microcomputer record storage back shaft inertia rotated until the time of stopping and experiencing; After about 2 seconds, two heavy ball are released into pivot arm 4 two ends, variable frequency drive motors starts, driving back shaft 2 rotates, when the rotating speed when reaching with the close bar center of two balls is consistent, press the right button, the variable frequency drive motors stall, clamp 801 separates with draw-in groove 701, is rotated further under back shaft 2 inertia effect, because frictional resistance finally stops, demonstrate two heavy ball 1 this moment on the display screen when pivot arm 4 two ends and during near pivot arm 4 center, with the time of stopping behind the same rotary speed movement, the time of stopping during two heavy ball, 1 close pivot arm two ends is longer, has verified the theorem of moment of inertia.
Press the button on the left side, enter " adjustment of bead position " pattern this moment, because in experimentation, the stay cord motor may have point tolerance to drawing heavy ball 1 and the distance that discharges heavy ball 1, or suddenly power down in the experimentation, double ball position may be on to some extent impact of experiment next time, stay cord motor generation stall, to such an extent as to burn out the stay cord motor, need to regulate the position of double ball this moment under this pattern, before two experimental demonstrations, bead must be released into pivot arm 4 two ends, in order to avoid stay cord is too many, burn out the stay cord motor.
Press the right button, this moment, the stay cord motor reversal discharged stay cord 3, moved to pivot arm 4 two ends under the effect of heavy ball 1 rotary centrifugal force, pressed intermediary button, and stay cord motor forward makes heavy ball 1 move near the center of pivot arm 4.
Claims (5)
1. comprehensive demonstration instrument of demonstrating the conservation of angular momentum and moment of inertia is characterized in that:
Comprise single-chip microcomputer, the stay cord motor, variable frequency drive motors, described single-chip microcomputer can obtain the rotating speed of described variable frequency drive motors as the control center of described comprehensive demonstration instrument;
Also comprise back shaft (2), described back shaft (2) is provided with each sheathed heavy ball (1) of the described pivot arm of pivot arm (4) (4) both sides of thereupon rotating, described heavy ball (1) be connected along stay cord (3), described stay cord (3) arranges along pivot arm (4), and by described stay cord driven by motor, it is synchronously inwardly/outwards mobile along described pivot arm (4) to spur two heavy ball;
Described back shaft (2) is connected with the center of the outer rotary table (7) of below, and described outer rotary table (7) below has draw-in groove (701), and described draw-in groove (701) is gear shape;
Be provided with inner rotary table (8) in the described draw-in groove (701), described inner rotary table (8) is upper to be fixedly connected with clamp (801) by torsion spring (802), and described clamp (801) is corresponding with described draw-in groove (701);
Described variable frequency drive motors is opened, described inner rotary table (8) is driven by variable frequency drive motors and rotates, torsion spring (802) distortion, clamp (801) and draw-in groove (701) engagement, drive unofficial biography dishes (7) and rotate, described unofficial biography dish (7) drives back shaft (2) and rotates;
Described variable frequency drive motors is shut down, and inner rotary table (8) rotating speed is less than the rotating speed of unofficial biography dish (7), and torsion spring (802) resets, and clamp (801) breaks away from described draw-in groove (802).
2. comprehensive demonstration instrument as claimed in claim 1, it is characterized in that: also comprise display screen (5), described display screen (5) is connected with described single-chip microcomputer, can show the rotating speed of described variable frequency drive motors.
3. comprehensive demonstration instrument as claimed in claim 1, it is characterized in that: also comprise button (6), described button (6) is connected with described single-chip microcomputer.
4. a right to use requires 2 described comprehensive demonstration instruments to carry out the demenstration method of the conservation of angular momentum, it is characterized in that, may further comprise the steps:
1) bead is located at pivot arm (4) two ends;
2) start variable frequency drive motors, back shaft (2) drives and rotates, and pivot arm (4) rotates, and heavy ball (1) is rotated synchronously;
3) reach set rotating speed after, variable frequency drive motors is shut down, clamp (801) separates with draw-in groove (701);
4) stay cord driven by motor stay cord (3) spurs to the inside, and two heavy ball (1) are inwardly slided along pivot arm (4) synchronously, the pivot arm faster rotational speed;
5) stay cord motor pulling stay cord (3) spurs laterally, and two heavy ball (1) are outwards slided along pivot arm (4) synchronously, and the pivot arm rotating speed slows down.
5. a right to use requires 2 described comprehensive demonstration instruments to carry out the method for moment of inertia demonstration, it is characterized in that, may further comprise the steps:
1) bead is located at pivot arm (4) two ends;
2) start variable frequency drive motors, back shaft (2) drives and rotates, and pivot arm (4) rotates, and heavy ball (1) is rotated synchronously;
3) the upper rotating speed that shows of record display screen (5);
4) variable frequency drive motors is shut down, and clamp (801) separates with draw-in groove (701), and pivot arm (4) inertia rotates;
5) record pivot arm (4) is until stop the required time;
6) start the stay cord motor, stop after stay cord pulling heavy ball (4) is moved a segment distance to the centre, repeat above-mentioned steps 1), 2);
7) until rotating speed is identical with rotating speed in the step 3);
8) repeating step 4), 5).
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Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
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CN104123865A (en) * | 2014-07-02 | 2014-10-29 | 齐齐哈尔大学 | Rotational inertia measuring and demonstrative experiment device |
CN104346977A (en) * | 2014-08-19 | 2015-02-11 | 浙江工业大学 | Rotary inertia teaching instrument |
CN106097842A (en) * | 2016-08-12 | 2016-11-09 | 桂林理工大学博文管理学院 | A kind of solid moment of inertia apparatus for demonstrating and demenstration method |
CN106327967A (en) * | 2016-10-21 | 2017-01-11 | 无锡职业技术学院 | Presentation device for angular momentum conservation |
CN107871425A (en) * | 2016-09-27 | 2018-04-03 | 天津启星动力科技有限公司 | Spin-off ball demonstrator |
RU183308U1 (en) * | 2017-12-28 | 2018-09-17 | федеральное государственное бюджетное образовательное учреждение высшего образования "Московский государственный технический университет имени Н.Э. Баумана (национальный исследовательский университет)" (МГТУ им. Н.Э. Баумана) | A device for studying the law of conservation of the kinetic moment of a mechanical system |
CN110136549A (en) * | 2019-05-21 | 2019-08-16 | 辽宁工程技术大学 | A kind of qualitative demonstration and quantitatively measuring device |
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Cited By (8)
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CN104123865A (en) * | 2014-07-02 | 2014-10-29 | 齐齐哈尔大学 | Rotational inertia measuring and demonstrative experiment device |
CN104346977A (en) * | 2014-08-19 | 2015-02-11 | 浙江工业大学 | Rotary inertia teaching instrument |
CN106097842A (en) * | 2016-08-12 | 2016-11-09 | 桂林理工大学博文管理学院 | A kind of solid moment of inertia apparatus for demonstrating and demenstration method |
CN106097842B (en) * | 2016-08-12 | 2018-10-02 | 桂林理工大学博文管理学院 | A kind of solid moment of inertia apparatus for demonstrating and demenstration method |
CN107871425A (en) * | 2016-09-27 | 2018-04-03 | 天津启星动力科技有限公司 | Spin-off ball demonstrator |
CN106327967A (en) * | 2016-10-21 | 2017-01-11 | 无锡职业技术学院 | Presentation device for angular momentum conservation |
RU183308U1 (en) * | 2017-12-28 | 2018-09-17 | федеральное государственное бюджетное образовательное учреждение высшего образования "Московский государственный технический университет имени Н.Э. Баумана (национальный исследовательский университет)" (МГТУ им. Н.Э. Баумана) | A device for studying the law of conservation of the kinetic moment of a mechanical system |
CN110136549A (en) * | 2019-05-21 | 2019-08-16 | 辽宁工程技术大学 | A kind of qualitative demonstration and quantitatively measuring device |
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