Question

A wheel is at rest. its angular velocity increases uniformly and becomes 80radian per second after 5 second.the total angular displacement is

Answer 1

Given,final angular velocity , $\omega_0$ = 0
angular velocity $\omega$ = 80 rad/s
time taken , t = 5 sec

now use formula, $\omega=\omega_0+\alpha. t$
80 = 0 + α × 5
α = 80/5 = 16 rad/s²

now, $\theta=\omega_0 t + \frac{1}{2}\alpha.t^2$
so, $\theta$ = 0 + 1/2 × 16 × (5)²
= 8 × 25 = 200 rad

hence, total angular distance = 200 rad

Answer 2

very easy question.....