A wheel is at rest. Its angular velocity increases uniformly and become $60 \mathrm{rad} / \mathrm{s

Question

A wheel is at rest. Its angular velocity increases uniformly and become $60 \mathrm{rad} / \mathrm{sec}$. after 5 sec . The total angular displacement is\

Professor PC Thomas Classes · Answer

$\omega_{1}=0 \quad \omega_{2}=60 / \mathrm{s} \quad \mathrm{t}=5 \mathrm{~s}$\ $\alpha=\frac{\omega_{2}-\omega_{1}}{t}=$\ $	heta=\omega_{1} \mathrm{t}+\frac{1}{2} \alpha \mathrm{r}^{2}$\ or Total angular displacement $=$ Average angular velocity $	imes$ time $=\left(\frac{0+60}{2}ight) 	imes 5$\