Question

The angular position of a particle is given by $\theta =2t^2+2t-3$. Find the angular velocity at $t=2\text{sec}$.

• A. $10\text{rad/s}$
• B. $15\text{rad/s}$
• C. $\frac{9}{2}\text{rad/s}$
• D. $\frac{15}{2}\text{rad/s}$

Answer 1

The correct option is A $10\text{rad/s}$

Angular velocity $\omega =\frac{d\theta }{dt}=4t+2$
${\omega }_{t=2}=4\times 2+2=10\text{rad/s}$