Question

Starting from rest a wheel a wheel rotates with uniform angular acceleration $2\pi$ rad $s^{-2.}$. After 4s, if the angular acceleration ceases to act, its angular displacement in the next 4s is

• A. $\pi$ rad
• B. 16$\pi$ rad
• C. 24$\pi$ rad
• D. 32$\pi$ rad

Answer 1

The correct option is D 32$\pi$ rad

$\begin{array}{c}u=0,\alpha =angulardisplacement=2\pi \\ aftert=4s\\ v=u+at\\ \Rightarrow v=2\pi \times 4\\ \Rightarrow v=8\pi \\ q=angulardisplacement=ut\\ \Rightarrow q=8\pi \times 4\\ =32\pi radian\\ Hence,\\ optionDiscorrectanswer.\end{array}$