First slide

Angular velocity, Angular acceleration

Question

Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same then the ratio of angular velocity will be

Moderate

A

r/R
B

R/r
C

1
D

√(R/r)

Solution

$\large \omega = \frac{{2\pi }}{T}$
$\large \therefore \frac{{{\omega _1}}}{{{\omega _2}}} = \frac{{2\pi /{T_1}}}{{2\pi /{T_2}}} = \frac{{{T_2}}}{{{T_1}}} = 1$
so option (3) is right.

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