A sphere is hanged with a wire. A restoring torque of 5 Nm is produced when `30^(@)` rotation of the sphere is allowed to take place. What will be the frequency of angular oscillations if the moment of inertia of the sphere is 0.092 kg m ?

Explanation

To solve the problem step-by-step, we will follow these steps:

### Step 1: Understand the Problem
We have a sphere hanging from a wire, and when it is displaced by 30 degrees, a restoring torque of 5 Nm is produced. We need to find the frequency of angular oscillations given that the moment of inertia of the sphere is 0.092 kg m².

### Step 2: Convert the Angle to Radians
The angle given is in degrees. We need to convert it to radians for calculations:
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