Method for measuring gravitational acceleration of sliding of small ball guided by multiple balls and multiple sliding nests in cooperation
A technology of gravitational acceleration and small ball, applied in the field of physical parameter measurement, can solve the problems of superimposed conical pendulum, pendulum ball cannot be effectively restrained, and evolves into conical pendulum, etc., and achieves the effect of small deformation.
Inactive Publication Date: 2014-09-03
SICHUAN UNIV
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[0003] In order to overcome the problem that the single pendulum cycloid can not effectively restrain the pendulum ball, it is easy to superimpose the conical pendulum or even evolve into the conical pendulum. A method to measure the acceleration of gravity instead of a simple pendulum
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[0007] Conical pendulum:
[0008] f 拉 *cosθ=mg
[0009] f 拉 *sinθ=F 向 =mω 2 r = mω 2 * Lsinθ
[0010] Divide the two equations to get
[0011] g=ω 2 Lcosθ=(2pi / T) 2 Lcosθ where, pi=3.1415926
[0012] The formula for measuring the acceleration of gravity with a simple pendulum is g=(2pi / T) 2 L, for a conical pendulum, it is equivalent to a simple pendulum whose pendulum length is shortened to L*cosθ, where; for the simple pendulum experiment of superimposing a circular pendulum, since the value of the acceleration of gravity is constant, the length of the pendulum in the numerator becomes shorter, and the length of the pendulum in the denominator The period T 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 motio...
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The invention discloses a method for measuring the gravitational acceleration of sliding of a small ball guided by multiple balls and multiple sliding nests in cooperation and relates to the field of physical parameter measurement. The method replaces a method for measuring the gravitational acceleration through a simple pendulum. According to the technical scheme, the shape of a flat board is changed into a circular arc, the curvature radius of the circular arc is R, two or three circular arc guide grooves are formed in the circular arc region, the small ball slides down from a high position along the guide grooves and swings in a reciprocating mode in the mutual conversion process of potential energy and kinetic energy, the swing period T of the small ball is measured, and then the gravitational acceleration g is calculated, wherein g meets the equation: g=(2Pi / T)2R. The method has the advantages that the multiple balls are used for locating the small ball to guarantee that the small ball can not roll but move horizontally; a hard material can be adopted in the method, and the deformation quantity of the hard material is smaller than that of a fiber line of the simple pendulum.
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, and the cycloid is soft. When doing the simple pendulum experiment, if it is not done well, it will often be made into a conical pendulum. The conical pendulum is equivalent to changing the length of the pendulum. A short pendulum leads to a shorter measurement period, which leads to a larger measured gravitational acceleration; of course, most of the time it will not reach the extreme of the conical pendulum, usually a conical pendulum motion is superimposed on the single pendulum motion. Contents of the invention [0003] In order to overcome the problem that t...
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Login to View More 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