System of Particles and Rotational Motion - Result Question 13

«««< HEAD:content/english/neet-pyq-chapterwise/physics/system-of-particles-and-rotational-motion/system-of-particles-and-rotational-motion-result-question-13.md

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

======= ####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

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/system-of-particles-and-rotational-motion/system-of-particles-and-rotational-motion—result-question-13.md (a) 10

(b) 12

(c) 4

(d) 6

[2007]

Show Answer

Answer:

Correct Answer: 13. (a)

Solution:

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

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

$t=2 s$

$\theta=2 \times 2+\frac{1}{2} \times 3(2)^{2}=4+6=10 rad$