Question

5. A grind stone starts from rest and has a constant- angular acceleration of 4.0 rad/sec2.The angular displacement and angular velocity, after 4 sec. will respectively be (a) 32 rad, 16 rad/sec (b) 16rad, 32 rad/s (c) 64rad, 32 rad/sec (d) 32 rad, 64rad/sec

Answer 1

Answer:

option (a)

Explanation:

Given:-

• w1 = 0
• a = 4 rad/sec²
• t = 4 sec

To find:-

Angular displacement and angular velocity after 4 seconds.

Solution:-

Angular displacement:-

$w_{1}t + \frac{1}{2} {at}^{2} \\ 0 + \frac{1}{2} \times {4(4)}^{2} \\ = > 32 \: rad$

First angular :-

$w_{2} = w_{1} + at$

=> 0+4²

=> 4 × 4

=> 16

Therefore, 16 rad/sec.