Question

The initial angular speed of a wheel is $4rad/s$. If its angular displacement is $200rad$, find its angular acceleration after $10s$. (in $rad/s^2$)

• A. $2.3$
• B. $3.2$
• C. $3.6$
• D. $5.3$

Answer 1

The correct option is B $3.2$

Angular displacement equation is given by

${\theta }_t={\omega }_{0}t+\frac{1}{2}\alpha t^2$

Given that ${\omega }_0=4rad/s$, ${\theta }_t=200rad$ and $t=10sec$

$\Rightarrow 200=4\times 10+\frac{1}{2}\alpha (10{)}^2\Rightarrow \alpha =3.2rad/s^2$