System Of Particles And Rotational Motion Ques 12

12. 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

[2007]

(a) $10$

(b) $12$

$4$

$6$

Show Answer

Answer:

Correct Answer: 12.(a)

Solution:

  1. (a) Since, $\theta=\omega_0 t+\frac{1}{2} \alpha t^{2}$

Where $\alpha$ is angular acceleration, $\omega_0$ is the initial angular speed.

$t=2\ \text{s}$

$\theta=2 \times 2+\frac{1}{2} \times 3(2)^{2}=4+12=16 $ $rad$

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