Question

A wheel has angular acceleration of $3.0 \,rad/sec^{-2}$ and an initial angular speed of $2.00\, rad\,s^{-1}$. In a time of $2\, s$ it has rotated through an angle (in radian) of

• A. 10
• B. 12
• C. 4
• D. 6

Answer 1

Answer: (A)

10

Answer 2

$\theta=\omega t +\frac{1}{2} \,\alpha t ^{2}=(2)(2)+\frac{1}{2}\,(3)(2)^{2}$
$=4+6=10 \,rad$