A solid sphere of mass 2 kg and radius 1 m is free to rotate about an axis passing through its centre. Find a constant tangential force `F` required to the sphere with `omega` = 10 rad/s in 2 s.

Options

A. `4N`
B. `8N`
C. `2N`
D. `6N`

Explanation

To solve the problem of finding the constant tangential force \( F \) required to rotate a solid sphere with a given angular velocity \( \omega \) in a specified time, we can follow these steps:

### Step 1: Identify the given values
- Mass of the sphere, \( m = 2 \, \text{kg} \)
- Radius of the sphere, \( r = 1 \, \text{m} \)
- Final angular velocity, \( \omega = 10 \, \text{rad/s} \)
- Time, \( t = 2 \, \text{s} \)

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