System of Particles and Rotational Motion - Result Question 13
13. A wheel has angular acceleration of $3.0 rad /$ $sec^{2}$ and an initial angular speed of $2.00 rad /$ $sec$. In a time of $2 sec$ it has rotated through an angle (in radian) of
(a) 10
(b) 12
(c) 4
(d) 6
[2007]
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Answer:
Correct Answer: 13. (a)
Solution:
- (a) Since, $\theta=\omega_0 t+\frac{1}{2} \alpha t^{2}$
Where $\alpha$ is angular aceleration, $\omega_0$ is the initial angular speed.
$t=2 s$
$\theta=2 \times 2+\frac{1}{2} \times 3(2)^{2}=4+6=10 rad$
