Question

Find the time period of oscillations of a torsional pendulum, if the torsional constant of the wire is k=10π²J/rad . The moment of inertia of the rigid body is 10 Kgm² about the axis of rotation.

A. 2 sec
B. 4 sec
C. 16 sec
D. 8 sec

Answer 1

Use the formula T = 2π√(I/k) to determine the time period of oscillations of a torsional pendulum is approximately 8 seconds. Hence, option (D) is correct.

Step-by-step explanation:

The time period of oscillations of a torsional pendulum can be found using the formula:

T = 2π√(I/k)

where I is the moment of inertia of the rigid body and k is the torsional constant of the wire.

In this case, the moment of inertia of the rigid body is 10 Kgm² and the torsional constant of the wire is k = 10π² J/rad.

Plugging in these values into the formula:

T = 2π√(10 Kgm² / 10π² J/rad)

Simplifying:

T = 2π√10 seconds

Therefore, the period of oscillations of the torsional pendulum is approximately 8 seconds (option D).