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A wheel starting from rest is uniformly ...

A wheel starting from rest is uniformly accelerated at `4rad//s^(2)` for `10s`. It is allowed to rotated uniformly for the next 10 s and is finally brought to rest in the next 10 s. Find the total angle rotated by the wheel.

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To solve the problem step by step, we will break it down into three phases of motion: uniform acceleration, uniform motion, and uniform deceleration. ### Step 1: Uniform Acceleration 1. **Given Data**: - Initial angular velocity, \( \omega_0 = 0 \, \text{rad/s} \) (starting from rest) - Angular acceleration, \( \alpha = 4 \, \text{rad/s}^2 \) - Time, \( t_1 = 10 \, \text{s} \) ...
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