Question

A wheel has angular acceleration of $3.0rad/s^2$ and an intial angular speed of $2.00rad/s$. In a time of $2s$ it has rotated through an angle (in radians) of:

• A. $6$
• B. $10$
• C. $12$
• D. $4$

Answer 1

Answer: (B)

$10$

Given:

$\omega =2$

$\alpha =3$

To find is angular displacement in $2$ s:

Using equation of motion

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

Putting the values we get:

$\theta =2\times 2+\frac{1}{2}\times 3\times 2^2$

$\Rightarrow \theta =10$