Question

The angular displacement ($\theta$) of the blades of a ceiling fan, when the fan is switched on at $t=0$, is shown in figure. The average angular velocity of the fan blades during the first 8 seconds will be

• A. 40$\pi$ rad/s
• B. 20$\pi$ rad/s
• C. 10$\pi$ rad/s
• D. 5$\pi$ rad/s

Answer 1

Answer: (C)

10$\pi$ rad/s

average angular velocity = $\frac{changeinangulardisplacement}{timetaken}$

$=\frac{80\pi }{8}=10\pi rad/s$

Hence, option C is correct