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.
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[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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