Question

A flywheel at rest is to reach an angular velocity of $24rad/s$ in $8$ second with constant angular acceleration. The total angle turned through during this interval is

• A. $24rad$
• B. $48rad$
• C. $72rad$
• D. $96rad$

Answer 1

Answer: (D)

$96rad$

Angular acceleration $\alpha =\frac{24}{8}=3rad/s^2$

Now angular displacement $\theta =0+\frac{\alpha t^2}{2}=96rad$