If the equation for the displacement of a particle moving on a ci… - Vidyadip

MCQ

If the equation for the displacement of a particle moving on a circular path is given by $(\theta ) = 2{t^3} + 0.5$, where $\theta $ is in radians and $t$ in seconds, then the angular velocity of the particle after $2 \,sec$ from its start is ......... $rad/sec$

A
$8$
B
$12$
✓
$24$
D
$36$

✓

Answer

Correct option: C.

$24$

c
(c) $\omega = \frac{{d\theta }}{{dt}} = \frac{d}{{dt}}(2{t^3} + 0.5) = 6{t^2}$

at $t =2 \,s$, $\omega = 6 \times {(2)^2} = 24\,rad/s$

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