What happens to the centripetal acceleration of a revolving body if you double the orbital speed $v$ and half the angular velocity $\omega $
What happens to the centripetal acceleration of a revolving body if you double the orbital speed $v$ and half the angular velocity $\omega $
The centripetal acceleration remains unchanged
The centripetal acceleration is halved
The centripetal acceleration is doubled
The centripetal acceleration is quadrupled
What happens to the centripetal acceleration of a revolving body if you double the orbital speed $v$ and half the angular velocity $\omega $
$a = \frac{{{v^2}}}{r} = v\omega $
$⇒$ $a' = (2v)\,\left( {\frac{\omega }{2}} \right) = a$
i.e. remains constant.
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