A wheel rotating with uniform acceleration covers 50 rev in the first five second after the start. Find the angular acceleration and the angular velocity at the end of five second.

Explanation

To solve the problem step by step, we will follow the principles of rotational motion and use the relevant equations.

### Step 1: Understand the given data
- The wheel covers an angular displacement of \( \theta = 50 \) revolutions in \( t = 5 \) seconds.
- The initial angular velocity \( \omega_0 = 0 \) (since the wheel starts from rest).

### Step 2: Convert revolutions to radians
Since angular displacement in physics is typically measured in radians, we need to convert revolutions to radians:
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