Question

Angular displacement $\left(\theta \right)$ of a flywheel vaires with time as $\theta =2t+3t^2$ radian. The angular acceleration at t = 2 s is given by

• A. $14rad/s^2$
• B. $18rad/s^2$
• C. $6rad/s^2$
• D. $16rad/s^2$

Answer 1

The correct option is C $6rad/s^2$

Given that,

Angular displacement $\theta =2t+3t^2$

Angular velocity $\omega =\frac{d\theta }{dt}=2+6t$

Angular acceleration $\frac{d\omega }{dt}=6$

Hence, Angular acceleration is $6rad/s^2$