A Method of Measuring Gravitational Acceleration by Increasing Pendulum Radius
A gravitational acceleration and radius measurement technology, applied in the field of experimental devices, can solve the problems of tedious and time-consuming data measurement and processing, difficulty in finding measurement points, and difficulties for beginners, so as to reduce complex and tedious drawing work, improve experimental accuracy and Efficiency, simple and clear effect
Inactive Publication Date: 2019-05-03
QIQIHAR UNIVERSITY
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Problems solved by technology
[0004] In the actual operation process, the above-mentioned widely used compound pendulum measurement gravitational acceleration experiment has the following difficulties. The first is that the periodic curve is a traced curve. Unlike the fitted straight line, it is very difficult for beginners to describe an accurate curve; There is a deviation between the traced periodic curve and the real curve, so the coordinate values of the four points where the straight line parallel to the abscissa axis intersects the periodic curve must also have deviations; third, because the measurement points are discrete data, the abscissa interval is generally 2cm , such an interval is difficult to find exactly the same measurement points for four periods in reality
In summary, there are large deviations in the existing measurement acceleration experiments, and the data measurement and processing process is also relatively cumbersome and time-consuming
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[0036] The present invention will be further described below in conjunction with the accompanying drawings and a specific embodiment.
[0037] Such as figure 1 As shown, the cylindrical weight I 1 is a solid cylindrical weight with a height h and a radius r1; the cylindrical weight II 2 is a solid cylindrical weight with a height h and a radius r2.
[0038] Such as figure 2 As shown, the inner diameter is 2r 1 The hollow cylindrical weight I 3 and the cylindrical weight I 1 are made of the same material, the height is h, and the inner diameter is 2r 1 , the wall thickness is r 1 , its inner wall is adsorptive and can be closely connected with the outer wall of the cylindrical weight I 1; the inner diameter is 2(x-1)r 1 A hollow cylindrical weight I 4 with a wall thickness r 1 ;Inner diameter is 2(n-1)r 1 A hollow cylindrical weight I 5 with an inner diameter of 2(n-1)r 1 , the wall thickness is r 1; It is known that the inner wall of each hollow cylindrical weight I c...
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The invention provides a method for measuring the gravitational acceleration by increasing the radius of the pendulum. The method analyzes the swing period of the compound pendulum system composed of the pendulum and the cylindrical weight, and studies the cylindrical weights whose radii are r2 and r1 respectively. When step lengths r2 and r1 gradually increase the swing period of the compound pendulum system, the impact of different step lengths on the swing period is compared, and then the calculation formula for the acceleration of gravity g is obtained. Compared with the widely used experimental method at present, the present invention In principle, the equivalent pendulum length is obtained by changing the position of the center of mass of the compound pendulum system to the suspension point, but by analyzing the influence of the pendulum radius change step on the swing period, and the slope of the fitting line is obtained. The value of the acceleration of gravity reduces the complex and tedious data processing work, improves the data processing speed, and reduces the data processing error. The principle of this method is simple and clear, easy to understand, and suitable for students to operate.
Description
technical field [0001] The invention relates to an experimental device, in particular to a method for measuring the acceleration of gravity by increasing the radius of a pendulum. Background technique [0002] In the experiment of measuring the acceleration of gravity with the compound pendulum in the university physics experiment, a slender pendulum rod with equidistant round holes is generally used. The surface of the pendulum rod is marked with vertical scales. In the experiment, one of the round holes of the pendulum rod is hung on the bracket Swing, record the distance from the circular hole to the center of the swing rod and the swing cycle when the circular hole is suspended, then draw a graph on the coordinate paper, use the graphic method to process data and calculate the acceleration of gravity. The principle is to change the position of the suspension point to obtain the swing period of the pendulum at different distances from the suspension point to the center of...
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IPC IPC(8): G01V7/12G09B23/10
CPCG01V7/12G09B23/10
Inventor 刘相梅崔继贤
Owner QIQIHAR UNIVERSITY