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Method for measuring gravitational acceleration by using conical pendulum

A gravitational acceleration and cone technology, applied in the field of physical parameter determination, can solve the problems of inability to estimate the cone pendulum component, the measurement period becomes smaller, and the gravitational acceleration measurement value becomes larger, etc.

Inactive Publication Date: 2014-09-03
SICHUAN UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The pendulum ball of a simple pendulum is only controlled by the suspension point and the cycloid. The cycloid is soft. When doing the simple pendulum experiment, if it is not done well, it will be made into a conical pendulum in extreme cases. The conical pendulum is equivalent to A simple pendulum with a shorter pendulum length leads to a shorter measurement period, which leads to a larger measured value of the acceleration of gravity; of course, most of the time it will not reach the extreme of the conical pendulum, usually a cone is superimposed in the single pendulum motion pendulum motion; worst of all is the inability to estimate the components of the conical pendulum

Method used

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  • Method for measuring gravitational acceleration by using conical pendulum
  • Method for measuring gravitational acceleration by using conical pendulum
  • Method for measuring gravitational acceleration by using conical pendulum

Examples

Experimental program
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Embodiment Construction

[0007] Conical pendulum:

[0008] f 拉 *cosθ=mg

[0009] f 拉 *sinθ= F 向 =mω 2 r = mω 2 * L'sinθ

[0010] Divide the two equations to get

[0011] g=ω 2 L'cosθ=(2pi / T) 2 L'cosθ where, pi=3.1415926

[0012] The formula for measuring the acceleration of gravity with a simple pendulum is g=ω 2 L'=(2pi / T) 2 L', for a conical pendulum, is equivalent to a simple pendulum whose pendulum length is shortened from L' to L'cosθ, wherein; for the simple pendulum experiment with superimposed circular pendulums, since the value of the gravitational acceleration is constant, the pendulum length in the molecule changes Short, the period T in the denominator will also be shortened, if calculated according to the pendulum length of the simple pendulum, the measured value of the acceleration of gravity will become larger. Generally, the simple pendulum experiment will not be made into a pure conical pendulum, because it is too obvious; often a conical pendulum motion is superimposed ...

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Abstract

The invention provides a method for measuring gravitational acceleration by using a conical pendulum and relates to the field of physical parameter measurement. The method is novel for measuring the gravitational acceleration. According to the technical scheme, the length of a cycloid of a simple pendulum is L, the radius of a pendulum ball is r, and a semi-hard plastic sheet with the length a is fixed to the other side opposite to the cycloid in the diameter direction, where the cycloid is located, of the pendulum ball. The pendulum ball of the simple pendulum is driven by a rotating shaft to do the circular motion, the included angle theta of the cycloid and the vertical direction and a swing cycle T of the pendulum ball are measured, and thus the gravitational acceleration g=(2pi / T)2*L'cos theta, wherein pi=3.1415926. The method for measuring the gravitational acceleration by using the conical pendulum has the advantages that the novel method for measuring the gravitational acceleration is proposed, students are guided to correctly understand errors; compared with the mode that the inclination angle amplitude of the simple pendulum is gradually reduced due to air resistance, driving of a motor is adopted in the method, and stable operation at the constant speed can be ensured; the cyclic formula of the simple pendulum is an approximation, the inclination angle is required to be within five degrees, and the requirement is avoided in the method.

Description

technical field [0001] The invention relates to the field of measurement of physical parameters, especially the measurement of gravitational acceleration. Background technique [0002] In university physics laboratories, simple pendulums and compound pendulums are commonly used to measure gravitational acceleration. The pendulum ball of a simple pendulum is only controlled by the suspension point and the cycloid. The cycloid is soft. When doing the simple pendulum experiment, if it is not done well, it will be made into a conical pendulum in extreme cases. The conical pendulum is equivalent to A simple pendulum with a shorter pendulum length leads to a shorter measurement period, which leads to a larger measured value of the acceleration of gravity; of course, most of the time it will not reach the extreme of the conical pendulum, usually a cone is superimposed in the single pendulum motion pendulum motion; worst of all, the components of the conical pendulum cannot be esti...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V7/12G09B23/10
Inventor 李娟胡再国张俊峰梁雅庭邹旭敏穆万军朱俊饶大庆罗明蓉程艳王维果刘石丹李伟于白茹梁小冲李紫源
Owner SICHUAN UNIV
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