Device and method for measuring gravitational acceleration

Abstract

The invention provides a device and a method for measuring a gravitational acceleration. The device comprises a base, a bracket, a swinging wire, a swinging ball, a laser device, a light receiver and a processing terminal. The bracket is arranged on the base. One end of the swinging wire is connected with the swinging ball, and the other end is arranged on the bracket. The laser device and the light receiver are oppositely arranged. The swinging ball is arranged between the laser device and the light receiver. According to the method of the invention, through changing the swinging length of a single pendulum, changing lengths deltaL of a plurality of sets of swinging lengths and a swinging length changing period T are recorded. Furthermore the values of a plurality of sets of variables 4pideltaL and variables T2 are respectively obtained. Then linear fitting is performed on the values of the variables 4pideltaL and the variable T2. The value of the gravitational acceleration is calculated through the gradient of a fitted line. The device and the method can improve measurement precision in measuring the gravitational acceleration by means of the single pendulum in physical experiment testing of a senior middle school or university and keeps the measurement error in a small range, wherein the measurement error is about 0.05% commonly.

Description

technical field [0001] The invention relates to a measuring device and method for gravitational acceleration. Background technique [0002] In high school and university physics teaching, the methods of measuring the acceleration of gravity include the electromagnetic dot timer method, the simple pendulum method, and the free fall method. When using a single pendulum to measure the acceleration of gravity, the general method needs to measure the length and period of the pendulum. In the measurement of the pendulum length, due to the difficulty in determining the center of mass of the pendulum ball, it is difficult to directly measure the pendulum length, and it is also difficult to accurately measure the length of the cycloid change; when measuring the cycle, it is inevitable to start or stop the timing due to the manual operation of the stopwatch. There will be a situation of leading or lagging timing, and there is a large timing error. [0003] The above problems should ...

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Problems solved by technology

[0004] The purpose of the present invention is to provide a measurement device and method for the acceleration of gravity to solve the problem of measuring the period in the prior art. Since the manual operation of the stopwatch starts or stops the timing, the situation of leading or lagging the timing will inevitably occur. The timing error and the problem of accurately measuring the length of the cycloid change

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