The radius of a wheel of car is `0.4m`. The car is accelerated from rest by an angular acceleration of `1.5 rad//s^(2)` for `20 s`. How much distance will the wheel cover in this time and what will be its linear velaocity ?

Explanation

To solve the problem step by step, we will break down the calculations for both the distance covered by the wheel and its linear velocity after 20 seconds of acceleration.

### Step 1: Calculate the Angular Displacement (θ)
We know that the angular displacement (θ) can be calculated using the formula for angular motion with constant angular acceleration:

\[ \theta = \omega_i \Delta t + \frac{1}{2} \alpha \Delta t^2 \]
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