Question

If object starts from rest and covers angle of $60$ rad in $10$ sec in circular motion magnitude of angular acceleration will be-

• A. $1.2 \,rad / sec ^{2}$
• B. $1.5\, rad / sec ^{2}$
• C. $2 \,rad / sec ^{2}$
• D. $2.5\, rad / sec ^{2}$

Answer 1

Answer: (A)

Given, $\omega_0$ = 0
$\theta = 60\, rad$
$t = 10\, sec$
let angular acceleration $=\alpha$
Then,
$\theta=\omega_{0} t+\frac{1}{2} \alpha t^{2}$
Put the values,
$60=\frac{1}{2} \times \alpha \times 100$ $a=1.2 \,rad / sec ^{2}$