Question

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

• A. $6$
• B. $10$
• C. $12$
• D. $4$

Answer 1

The correct option is B $10$

Given: initial angular speed,
${\omega }_0=2rad/s$, angular acceleration,
$\alpha =3rad/s^2,t=2s$
From the equation of the angular displacement,
$\theta ={\omega }_{0}t+\frac{1}{2}\alpha t^2=2\times 2+\frac{1}{2}\times 3\times (2{)}^2$
$=4+6=10radians$