A particle moves with constant angular velocity in circular path of certain radius and is acted upon

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3-2.Motion in Plane

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A particle moves with constant angular velocity in circular path of certain radius and is acted upon by a certain centripetal force $F$. If the angular velocity is doubled, keeping radius the same, the new force will be

A$2F$

B${F^2}$

C$4F$

D$F/2$

Solution

(c) $F = m{\omega ^2}R$ $\therefore$ $F \propto {\omega ^2}$ ($m$ and $R$ are constant)
If angular velocity is doubled force will becomes four times.

Standard 11

Physics

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