A wheel has angular acceleration of $3.0 \mathrm{rad} / \mathrm{sec}^{2}$ and an initial angular spe

Question

A wheel has angular acceleration of $3.0 \mathrm{rad} / \mathrm{sec}^{2}$ and an initial angular speed of $2.00 \mathrm{rad} / \mathrm{sec}$. In a time of 2 sec it has rotated through an angle (in radians) of\

Professor PC Thomas Classes · Answer

(a) : Given: Angular acceleration, $\alpha=3 \mathrm{rad} / \mathrm{s}^{2}$ Initial angular velocity $\omega_{i}=2 \mathrm{rad} / \mathrm{s}$\ Time $t=2 \mathrm{~s}$\ Using, $	heta=\omega_{i} t+\frac{1}{2} \alpha t^{2}$\ $	herefore 	heta=2 	imes 2+\frac{1}{2} 	imes 3 	imes 4=4+6=10$ radians\