What is a Torsional Pendulum and formula of its periodic time? Why it is used and for what experiments?
It is used to find the moment of inertia of a body experimentally. The body (say a disc or flywheel) whose moment of inertia is to be determined is suspended by three long flexible wires A, B and C as shown in Fig. 1.37. When the body is twisted about its axis through a small angle θ and then released, it will oscillate with simple harmonic motion.
It is used to find the moment of inertia of a body experimentally. The body (say a disc or flywheel) whose moment of inertia is to be determined is suspended by three long flexible wires A, B and C as shown in Fig. 1.37. When the body is twisted about its axis through a small angle θ and then released, it will oscillate with simple harmonic motion.
For a torsional pendulum, the periodic time is given by
![Periodic time of a Torsional Pendulum Periodic time of a Torsional Pendulum](data:image/png;base64,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)
and frequency of oscillation,
![Frequency of Oscillation of a Torsional Pendulum Frequency of Oscillation of a Torsional Pendulum](data:image/png;base64,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)
where
r = Distance of each wire from the axis of the body,
k = Radius of gyration, and
l = Length of each wire.
and frequency of oscillation,
where
r = Distance of each wire from the axis of the body,
k = Radius of gyration, and
l = Length of each wire.
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