Measuring equipment for rotational inertia of object
By designing a rotational guard measurement device based on the law of conservation of angular momentum, the problem of limitations in the measurement range and low accuracy in the prior art is solved, and high-precision rotational guard measurement of irregular and uneven density objects is achieved.
Patent Information
- Application Number
- CN202411699816.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-26
- Publication Date
- 2025-02-25
AI Technical Summary
The existing rotational moment of inertia measurement methods have problems such as limited measurement range, low accuracy, complex operation and environmental sensitivity, making it difficult to effectively measure the rotational moment of inertia of irregular or uneven density objects.
A rotational moment of inertia measurement device based on the law of conservation of angular momentum is designed. The central axis of the object to be measured is determined through a laser positioner, the flywheel is driven by a motor, and the rotation angular velocity of the turntable is measured in combination with an optoelectronic gate and a counter, and then the rotational angular velocity of the object to be measured is calculated. Moment of inertia.
The device can effectively measure the moment of inertia of irregular and uneven density objects, with a wider measurement range, higher accuracy, and simple operation, avoiding the source of error in traditional methods.
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Figure CN119509805A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of moment of inertia measuring equipment, in particular to a measuring equipment for the moment of inertia of an object. Background Art
[0002] With the rapid development of science and technology, moment of inertia, as an important engineering parameter, has important applications in all walks of life. The moment of inertia is a measure of the inertia of a rigid body when it rotates around an axis, represented by the letter J. The role of moment of inertia in rotational dynamics is equivalent to mass in linear dynamics, and its unit is kg·m 2 For a point mass, J = mr 2 , where m is the mass of the perigee and r is the vertical distance between the particle and the axis of rotation. For objects that cannot be considered as particles, For an object with a continuously distributed mass and a regular and symmetrical shape rotating around a fixed axis, the moment of inertia can be expressed as J = ∫r 2 dm formula. If the position of the axis is changed, the parallel axis theorem J can be used A =J C +md 2 Calculation is performed, where axis A and axis C must be parallel, and d is the distance between the two parallel lines. In undergraduate physics experiments, the measurement of moment of inertia is mainly limited to traditional methods such as the three-wire pendulum method and the torsion pendulum method.
[0003] The torsion pendulum is connected by mechanical bearings and can perform sinusoidal motion around a fixed axis. However, the measurement principle and derivation process of the torsion pendulum method are relatively cumbersome. It can only measure the moment of inertia of several specific objects rotating around the central axis, and the measurement is easily affected by environmental factors. The experimental device of the tower wheel method is a system that can rotate around a fixed axis and is connected by mechanical bearings. It is necessary to accurately control the winding direction of the thin rope and the position of the wire wheel. In terms of the measurement object, only uniform circular objects can be measured. In actual measurement, the error of angular acceleration is large. The three-wire pendulum method has two parallel disks above and below. It is sensitive to small disturbances in the environment during the measurement process. The operation steps are relatively complicated, and the equipment needs to be precisely adjusted and calibrated. In addition, the measurement accuracy of the three-wire pendulum method is not high and there are many experimental restrictions. For example, the damping of the torsion pendulum, the mass of the suspension wire, and the center of mass of the object to be measured will have a great influence on the measurement results, and only uniform and symmetrical objects can be measured.
[0004] Therefore, it is necessary to provide a new device for measuring the moment of inertia of an object to solve the above technical problems. Summary of the invention
[0005] In order to solve the above technical problems, the present invention provides a device for measuring the rotational inertia of an object.
[0006] In one aspect, the present invention provides a device for measuring the moment of inertia of an object, comprising an operating panel, wherein a moment of inertia measuring mechanism based on the law of conservation of angular momentum is installed on the upper end of the operating panel;
[0007] The measuring mechanism includes a counter, a photoelectric gate, a supporting frame, a turntable, two fixed frames, a stage and a laser locator. A counter is fixedly connected to one side of the upper end of the operating panel, a small base is installed on one side of the operating panel, and the upper end of the small base is fixedly connected to the photoelectric gate through an L bracket. A supporting frame is installed at the position of the upper end of the operating panel located on one side of the small base, and the upper end of the supporting frame is rotatably connected to the turntable through a rotating shaft. Fixed frames are fixedly connected to the upper ends of the turntable on both sides, and motors are clamped inside the two fixed frames. The output ends of the two motors pass through the fixed frames, and the output ends of the two motors are rotatably connected to flywheels through connecting rods. The center of the upper end of the turntable is fixedly connected to the stage through a supporting column, and a metal speed measuring rod is fixedly connected to one side of the upper end of the turntable. A large base is installed on the side of the upper end of the operating panel away from the counter, and the upper end of the large base is fixedly connected to a laser locator through a cross bracket.
[0008] Preferably, the two fixing frames located at the upper end of the turntable are centrally symmetrical with the center of the turntable, the sum of the height dimensions of the loading platform and the support column is greater than the dimension from the top of the flywheel to the surface of the turntable, and the metal speed measuring rod and the photoelectric gate are located on the same horizontal line.
[0009] Preferably, an anti-slip pad is fixedly connected to the upper end of the loading platform, a magnetic plate is embedded in the operating panel, and magnetic sheets are embedded in the lower ends of the small base, the supporting frame and the large base.
[0010] Another aspect of the present invention provides a device for measuring the moment of inertia of an object, comprising the following steps:
[0011] S1. Design stage: Build a device for measuring the moment of inertia of the object mentioned above, place it on a horizontal table, and find a cylindrical rod as the object to be measured and place it aside for use;
[0012] S2. Experimental preparation stage: Use a circle center ruler to determine the center position of the large disk and the standard cylinder, mark the center position with a marker, use a balance to measure the mass of the object to be measured, and use a vernier caliper to measure its diameter;
[0013] S3, the beginning of the experiment: move the laser locator so that the center of the laser cross coincides with the center of the turntable, turn on the motor, adjust the controller to make the flywheel rotate at a suitable angular velocity. Use the photoelectric gate and counter to measure the time required for the large disk to rotate 20 times, and turn off the motor;
[0014] Place the object to be tested on the turntable, move the object to be tested, and align the center of the laser cross of the laser locator with the center of the circle of the object to be tested. Turn on the motor, keep the flywheel speed unchanged, use the photoelectric gate and counter to measure the time required for the turntable to rotate 20 circles, turn off the motor, change the motor speed, and repeat the above steps multiple times.
[0015] S4, data processing stage: collect multiple sets of time data required for the large disk to rotate 20 times when the turntable does not have the object to be tested, and calculate the angular velocity ω0 of the large disk when the object to be tested is not placed, and then calculate the moment of inertia of the turntable when the object to be tested is not placed, collect multiple sets of time data required for the turntable to rotate 20 times when the turntable is placed with the object to be tested, and calculate the angular velocity ω'0 of the turntable after the object to be tested is placed;
[0016] S5. Experimental results stage: derive the moment of inertia of the object to be measured based on the derived formula
[0017] Preferably, during the experimental preparation stage, lubricating oil needs to be added to the surface of the rotating shaft between the supporting chassis and the rotating disk.
[0018] Preferably, during the experimental preparation stage, it is necessary to find a standard object with a known moment of inertia, so as to facilitate the subsequent determination of the moment of inertia of the device.
[0019] Preferably, in the data processing stage, the measured value of the device needs to be corrected, and the theoretical value of the object to be measured is used as the standard value, and the measured value obtained in this experiment is compared with it to correct the measurement result.
[0020] Compared with the related art, the device for measuring the moment of inertia of an object provided by the present invention has the following beneficial effects:
[0021] The present invention provides a device for measuring the moment of inertia of an object. When it is specifically implemented:
[0022] 1. By using the law of conservation of angular momentum and measuring the angular velocity of the turntable, the moment of inertia of the object to be measured can be obtained, regardless of whether the object is regular or not. The range of objects to be measured is expanded to any object within a certain size range, including irregular objects and objects with uneven density, and the measurement range is wider;
[0023] 2. Based on the law of conservation of angular momentum, the measurement of the object's moment of inertia is converted into the measurement of the turntable's angular velocity, which simplifies the calculation process and method to a certain extent. While conveniently and quickly measuring the moment of inertia, it also improves the understanding of the law of conservation of angular momentum;
[0024] 3. This device avoids the need to consider the friction between the tower wheel and the rope when measuring the moment of inertia of an object by the tower wheel method, the need to consider the small angle approximation and the inevitable shaking and deformation of the spring during the measurement of the torsion pendulum method, which will cause errors in the results. The experimental conclusion is that this experimental device and method have higher measurement accuracy;
[0025] 4. The device has a simple structure, low cost and higher prospects. BRIEF DESCRIPTION OF THE DRAWINGS
[0026] Figure 1 An axonometric diagram of a device for measuring the moment of inertia of an object provided by the present invention;
[0027] Figure 2 An exploded diagram of a device for measuring the moment of inertia of an object provided by the present invention;
[0028] Figure 3 for Figure 2 Enlarged view of point A in the middle;
[0029] Figure 4 A linear fitting function diagram of a device for measuring the moment of inertia of an object provided by the present invention;
[0030] Figure 5 This is an overall experimental operation flow chart of the device for measuring the moment of inertia of an object provided by the present invention.
[0031] Numbers in the figure: 1. Operation panel; 2. Counter; 3. Small base; 4. L bracket; 5. Photoelectric gate; 6. Support frame; 7. Rotating shaft; 8. Turntable; 9. Fixed frame; 10. Motor; 11. Connecting rod; 12. Flywheel; 13. Support column; 14. Loading platform; 15. Battery; 16. Controller; 17. Metal speed measuring rod; 18. Large base; 19. Cross bracket; 20. Laser locator; 21. Magnetic plate; 22. Magnetic sheet; 23. Anti-slip mat. DETAILED DESCRIPTION
[0032] The present invention will be further described below in conjunction with the accompanying drawings and implementation modes.
[0033] Please refer to Figure 1 - Figure 3 ,in, Figure 1 An axonometric diagram of a device for measuring the moment of inertia of an object provided by the present invention; Figure 2 An exploded diagram of a device for measuring the moment of inertia of an object provided by the present invention; Figure 3 for Figure 2 Enlarged view of point A in the middle.
[0034] The moment of inertia is a measure of the inertia of a rigid body when it rotates around an axis and is represented by the letter J. The role of the moment of inertia in rotational dynamics is equivalent to the role of mass in linear dynamics and its unit is kg·m2 For a point mass, J = mr 2 , where m is the mass of the perigee and r is the vertical distance between the particle and the axis of rotation. For objects that cannot be considered as particles, For an object with a continuously distributed mass and a regular and symmetrical shape rotating around a fixed axis, the moment of inertia can be expressed as J = ∫r 2 dm formula. If the position of the axis is changed, the parallel axis theorem J can be used A =J C +md 2 Calculate, where axis A and axis C must be parallel, d is the distance between the two parallel lines, assuming that the moment of inertia of the large disk around its central axis is J0, and the moment of inertia of the symmetrically placed small flywheel around its central axis is J 11 , J 12 When the two small flywheels move at angular speeds ω 11 and ω 12 When rotating, the large disk will rotate in the opposite direction at an angular velocity ω0, and: J 11 ω 11 +J 12 ω 12 =J0ω0 (1), where ω0 is the angular velocity of the large disk, ω 11 is the angular velocity of small flywheel 1, ω 12 is the angular velocity of small flywheel 2.
[0035] Real-time Example 1
[0036] In the specific implementation process, Figure 1 - Figure 3As shown, the measuring device of the rotational inertia of an object comprises an operating panel 1, and a rotational inertia measuring mechanism based on the law of conservation of angular momentum is installed on the upper end of the operating panel 1; the measuring mechanism comprises a counter 2, a photoelectric gate 5, a supporting frame 6, a turntable 8, two fixed frames 9, a stage 14 and a laser locator 20, the counter 2 is fixedly connected to one side of the upper end of the operating panel 1, a small base 3 is installed on one side of the operating panel 1, and the upper end of the small base 3 is fixedly connected to the photoelectric gate 5 through an L bracket 4, the upper end of the operating panel 1 is provided with a supporting frame 6 at a position located on one side of the small base 3, the upper end of the supporting frame 6 is rotatably connected to the turntable 8 through a rotating shaft 7, and fixed frames 9 are fixedly connected to both sides of the upper end of the turntable 8, and motors 10 are clamped inside the two fixed frames 9, and the output ends of the two motors 10 pass through the fixed frames 9, and the output ends of the two motors 10 pass through the fixed frames 9. A flywheel 12 is rotatably connected via a connecting rod 11, a loading platform 14 is fixedly connected to the center of the upper end of the turntable 8 via a supporting column 13, a metal speed measuring rod 17 is fixedly connected to one side of the upper end of the turntable 8, a large base 18 is installed on the side of the upper end of the operating panel 1 away from the counter 2, a laser locator 20 is fixedly connected to the upper end of the large base 18 via a cross bracket 19, two fixing frames 9 located at the upper end of the turntable 8 are centrally symmetrical with the center of the turntable 8, the sum of the height dimensions of the loading platform 14 and the supporting column 13 is greater than the dimension from the top of the flywheel 12 to the surface of the turntable 8, the metal speed measuring rod 17 and the photoelectric gate 5 are located on the same horizontal line, an anti-slip pad 23 is fixedly connected to the upper end of the loading platform 14, a magnetic plate 21 is embedded in the operating panel 1, and a magnetic sheet 22 is embedded in the lower end of the small base 3, the supporting chassis 6 and the large base 18;
[0037] Example 2
[0038] The method for measuring the moment of inertia of an object comprises the following steps:
[0039] S1. Design stage: Build a device for measuring the moment of inertia of the object mentioned above, place it on a horizontal table, and find a cylindrical rod as the object to be measured and place it aside for use;
[0040] S2. Experimental preparation stage: Use a circle center ruler to determine the center position of the large disk and the standard cylinder, mark the center position with a marker, use a balance to measure the mass of the object to be measured, and use a vernier caliper to measure its diameter;
[0041] S3, the beginning of the experiment: move the laser locator 20 so that the center of the laser cross coincides with the center of the turntable 8, turn on the motor 10, and adjust the controller to make the flywheel 12 rotate at a suitable angular velocity. Use the photoelectric gate 5 and the counter 2 to measure the time required for the large disk to rotate 20 times, turn off the motor 10, put the object to be tested on the turntable, and move the object to be tested so that the center of the laser cross of the laser locator 20 is aligned with the center of the object to be tested. Turn on the motor 10, keep the speed of the flywheel 12 unchanged, use the photoelectric gate 5 and the counter 2 to measure the time required for the turntable 8 to rotate 20 times, turn off the motor 10, change the speed of the motor 10, and repeat the above steps multiple times;
[0042] It should be noted that, considering that after the object to be tested is placed, the angular velocity of the flywheel 12 relative to the ground will change accordingly, and the angular velocity of the flywheel 12 measured by the instrument is several hundred times different from the angular velocity of the turntable 8. Therefore, the angular velocity of the flywheel 12 relative to the ground is approximately equal before and after, and the change can be ignored.
[0043] S4, data processing stage: collect multiple sets of time data required for the large disk to rotate 20 circles when the turntable 8 is not placed on the object to be tested, and calculate the angular velocity ω0 of the large disk when the object to be tested is not placed, and then calculate the moment of inertia of the turntable 8 when the object to be tested is not placed, collect multiple sets of time data required for the turntable 8 to rotate 20 circles when the turntable 8 is placed on the object to be tested, and calculate the angular velocity ω'0 of the turntable 8 after the object to be tested is placed;
[0044] S5. Experimental results stage: Calculate the moment of inertia of the object to be measured based on the derived formula.
[0045] It should be noted that after the object to be tested is placed, the angular momentum of the system consisting of the large disk, the object to be tested and the small flywheel is conserved. The moment of inertia J of the standard object is changed to the moment of inertia J of the object to be tested about the central axis. x , the equation still holds, i.e.
[0046]
[0047] Therefore, there is
[0048]
[0049] During the experimental preparation stage, lubricating oil needs to be added to the surface of the rotating shaft 7 between the supporting frame 6 and the rotating disk 8 .
[0050] During the experimental preparation stage, it is necessary to find a standard object with a known moment of inertia, which will facilitate the subsequent determination of the moment of inertia of the device.
[0051] It should be noted that, due to the irregular shape of the turntable 8 and the uneven mass distribution, it is difficult to calculate the moment of inertia of the turntable 8 through a theoretical formula. When the flywheel 12 does not rotate and the turntable 8 is stationary, the angular momentum of the flywheel 12 and the turntable 8 are both zero. After the motor 10 is started, the system composed of the turntable 8 and the flywheel 12 can still be approximately considered to be conserved of angular momentum, and the sum is zero. Using the above properties, a standard object with a known theoretical value of the moment of inertia J is placed to indirectly measure the moment of inertia J0 of the turntable 8. During the measurement process, it is found that since the angular velocity of the flywheel 12 is much greater than the angular velocity of the turntable 8, the angular velocity of the flywheel 12 before the standard object is placed and the angular velocity of the flywheel 12 after the standard object is placed are approximately equal, so:
[0052] J 11 ω 11 +J 12 ω 12 =(J0+J)ω'0 (2)
[0053] From equations (1) and (2), we can get:
[0054] J0ω0=(J0+J)ω'0 (3)
[0055] Right now
[0056]
[0057] Where, J is the theoretical value of the moment of inertia of the standard object of regular shape around the central axis, ω0 and ω'0 are the angular velocities of the turntable 8 after the motor is started, before and after the standard object is placed. The moment of inertia of the turntable 8 is J0, J0 = 1.87777 × 10 -3 (kg·m 2 )
[0058] In the data processing stage, it is also necessary to correct the multiple sets of data obtained. The theoretical value of the object to be measured is used as the standard value, and the measured value obtained in this experiment is compared with it to correct the measurement result.
[0059] It should be noted that the moment of inertia of the turntable 8 around the central axis is known to be 1.87777×10 -3 (kg·m 2 ), after starting the motor 10, measure the rotational angular velocity ω0 of the large disk without the object to be tested and the rotational angular velocity ω'0 of the large disk after the object to be tested is placed, and substitute into formula (6) to calculate the moment of inertia of the object to be tested around the central axis. Take seven cylinders with uniform mass distribution as the objects to be tested, and use their theoretical values as standard values to calculate the relative error of the measured value of the device. The mass, radius, and moment of inertia around the central axis of each object to be tested are measured 6 times, and the average value is taken to reduce accidental errors. The following are the theoretical values of the moment of inertia of the object to be tested and the measured values of the device
[0060]
[0061] Considering that factors such as friction will affect the measurement results, the theoretical value of the object to be measured is taken as the standard value, and the measured value of the device is 测 Compared with it, the measurement result is corrected to measure the value J 测 is the horizontal axis, the theoretical value J 理 As the vertical axis, use the linear fitting function chart (see the appendix of the manual) Figure 4 ) is linearly fitted to obtain the following correction formula.
[0062] The corrected formula is
[0063] J x =1.04868×J 测 -1.2429×10 -5 (8)
[0064] Among them J x is the corrected moment of inertia, J is the moment of inertia of the object to be measured before correction, which is calculated from ω0 and ω'0. Therefore, it can be written as
[0065]
[0066] The value of J0 is 1.87777×10 -3 (kg·m 2 ), we can get
[0067]
[0068] It should be noted that after the formula is corrected, the error of the conclusion is less than 1%.
[0069] Among them, ω0 and ω'0 are the angular velocities of the large disc before and after the motor is started, and the moment of inertia of the object to be measured can be obtained by measuring the angular velocity of the turntable using the law of conservation of angular momentum. This has nothing to do with whether the object is regular or not. The range of objects to be measured is expanded to include any irregular objects and objects with uneven density within a certain size range, and the measurement range is wider.
[0070] The working principle provided by the present invention is as follows: the object to be measured with a determined central axis is placed on the stage 14 through the laser locator 20, so that the central axis of the object to be measured coincides with the central axis of the stage 14, and then the motor 10 drives the flywheel 12 to rotate through the connecting rod 11. Due to the law of conservation of angular momentum, the turntable 8 and the metal speed measuring rod 17 on its surface rotate. When the metal speed measuring rod 17 passes the front end of the photoelectric gate 5, the photoelectric gate 5 takes a picture. When the illumination passing through the photoelectric gate 5 changes, the resistance value of the photoresistor in the photoelectric gate 5 changes, thereby causing the voltage across the photoresistor to change. The voltage change signal is transmitted to the counter 2 for counting and timing, thereby obtaining data, integrating the data and deducing the relationship between the moment of inertia of the object to be measured and the angular velocity of the turntable through the law of conservation of angular momentum, converting the measurement of the moment of inertia of the object into the measurement of the angular velocity of the turntable, and then measuring the moment of inertia of the object to be measured, and irregular objects can be tested with a small error during measurement.
[0071] The circuits and controls involved in the present invention are all prior art and will not be described in detail here.
[0072] The above descriptions are merely embodiments of the present invention and are not intended to limit the patent scope of the present invention. Any equivalent structure or equivalent process transformation made using the contents of the present invention specification and drawings, or directly or indirectly applied in other related technical fields, are also included in the patent protection scope of the present invention.
Claims
1. A device for measuring the moment of inertia of an object, characterized in that: It comprises an operating panel (1), the upper end of which is mounted a moment of inertia measuring mechanism based on the law of conservation of angular momentum; The measuring mechanism comprises a counter (2), a photoelectric gate (5), a supporting frame (6), a turntable (8), two fixed frames (9), a stage (14) and a laser locator (20); the counter (2) is fixedly connected to one side of the upper end of the operating panel (1); a small base (3) is installed on one side of the operating panel (1); the upper end of the small base (3) is fixedly connected to the photoelectric gate (5) via an L bracket (4); the supporting frame (6) is installed at the upper end of the operating panel (1) located on one side of the small base (3); the upper end of the supporting frame (6) is rotatably connected to the turntable (8) via a rotating shaft (7); the upper ends of the turntable (8) are fixedly connected to the two sides of the upper end. A fixing frame (9) is connected, two motors (10) are clamped inside the fixing frames (9), the output ends of the two motors (10) pass through the fixing frames (9), and the output ends of the two motors (10) are rotatably connected to a flywheel (12) through a connecting rod (11). The center of the upper end of the turntable (8) is fixedly connected to a loading platform (14) through a supporting column (13), and a metal speed measuring rod (17) is fixedly connected to one side of the upper end of the turntable (8). A large base (18) is installed on the side of the upper end of the operating panel (1) away from the counter (2), and the upper end of the large base (18) is fixedly connected to a laser locator (20) through a cross bracket (19).
2. The device for measuring the moment of inertia of an object according to claim 1, characterized in that: The two fixing frames (9) located at the upper end of the turntable (8) are centrally symmetrical with the center of the turntable (8), the sum of the height dimensions of the loading platform (14) and the supporting column (13) is greater than the dimension from the top of the flywheel (12) to the surface of the turntable (8), and the metal speed measuring rod (17) and the photoelectric gate (5) are located on the same horizontal line.
3. The device for measuring the moment of inertia of an object according to claim 1, characterized in that: The upper end of the loading platform (14) is fixedly connected with an anti-skid pad (23), the operating panel (1) is embedded with a magnetic plate (21), and the lower ends of the small base (3), the supporting frame (6) and the large base (18) are all embedded with magnetic sheets (22).
4. A measuring method for a measuring device for measuring the moment of inertia of an object according to any one of claims 1 to 3, characterized in that: The steps include: S1. Design stage: Build a device for measuring the moment of inertia of the object mentioned above, place it on a horizontal table, and find a cylindrical rod as the object to be measured and place it aside for use; S2. Experimental preparation stage: Use a circle center ruler to determine the center position of the large disk and the standard cylinder, mark the center position with a marker, use a balance to measure the mass of the object to be measured, and use a vernier caliper to measure its diameter; S3, the beginning of the experiment: move the laser locator (20) so that the center of the laser cross coincides with the center of the turntable (8), turn on the motor (10), adjust the controller to make the flywheel (12) rotate at a suitable angular velocity. Use the photoelectric gate (5) and the counter (2) to measure the time required for the large disk to rotate 20 times, and turn off the motor (10); The object to be tested is placed on the turntable, and the object to be tested is moved so that the center of the laser cross of the laser locator (20) is aligned with the center of the circle of the object to be tested, the motor (10) is turned on, the speed of the flywheel (12) is kept constant, the time required for the turntable (8) to rotate 20 circles is measured using the photoelectric gate (5) and the counter (2), and the motor (10) is turned off; Change the motor speed and repeat the above steps several times. S4, data processing stage: collecting multiple sets of time data required for the large disk to rotate 20 times when the turntable (8) is not placed with the object to be tested, and calculating the angular velocity ω0 of the large disk when the object to be tested is not placed, and then calculating the moment of inertia of the turntable (8) when the object to be tested is not placed, collecting multiple sets of time data required for the turntable (8) to rotate 20 times when the turntable (8) is placed with the object to be tested, and calculating the angular velocity ω'0 of the turntable (8) after the object to be tested is placed; S5. Experimental results stage: Calculate the moment of inertia of the object to be measured based on the derived formula.
5. The device for measuring the moment of inertia of an object according to claim 4, characterized in that: During the experimental preparation stage, lubricating oil needs to be added to the surface of the rotating shaft (7) between the supporting chassis (6) and the rotating disk (8).
6. The measuring method of the measuring device for measuring the moment of inertia of an object according to claim 4, characterized in that: During the experimental preparation stage, it is necessary to find a standard object with a known moment of inertia, which will facilitate the subsequent determination of the moment of inertia of the device.
7. The device for measuring the moment of inertia of an object according to claim 4, characterized in that: During the data processing stage, the measured values of the device also need to be corrected. The theoretical value of the object to be measured is used as the standard value, and the measured value obtained in this experiment is compared with it to correct the measurement result.
8. The device for measuring the moment of inertia of an object according to claim 4, characterized in that: The speed of the motor (10) is changed and the experimental process in the initial stage of the S3 experiment is repeated multiple times and the data is recorded.