A string is wrapped around the rim of a wheel of moment of inertia 0.20 kg-m^2 and radius 20 cm. The wheel is free to rotate about it axis. Initially, the wheel is at rest. The string is now pulled by a force of 20 N. Find the angular velocity of the wheel after 5.0 seconds.

Explanation

To solve the problem step by step, we will follow the principles of rotational mechanics.

### Step 1: Identify Given Values
- Moment of inertia (I) = 0.20 kg·m²
- Radius of the wheel (R) = 20 cm = 0.20 m
- Force applied (F) = 20 N
- Time (t) = 5.0 seconds
- Initial angular velocity (ω₀) = 0 rad/s (since the wheel is initially at rest)
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