(A) The formula for centripetal acceleration $a$ is given by $a = v\omega$,where $v$ is the orbital speed and $\omega$ is the angular velocity.Given t

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The centripetal acceleration remains unchanged

(A) The formula for centripetal acceleration $a$ is given by $a = v\omega$,where $v$ is the orbital speed and $\omega$ is the angular velocity.Given that the new orbital speed $v' = 2v$ and the new angular velocity $\omega' = \frac{\omega}{2}$.The new centripetal acceleration $a'$ is calculated as:$a' = v' \times \omega' = (2v) \times \left( \frac{\omega}{2} \right) = v\omega = a$.Therefore,the centripetal acceleration remains unchanged.

Class 11 Physics 3-2.Motion in Plane Non-uniform Circular Motion (Centrifugal/Centripetal and tangential Accelaration)

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What happens to the centripetal acceleration of a revolving body if you double the orbital speed $v$ and halve the angular velocity $\omega$?

A
The centripetal acceleration remains unchanged
B
The centripetal acceleration is halved
C
The centripetal acceleration is doubled
D
The centripetal acceleration is quadrupled

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3-2.Motion in Plane

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Non-uniform Circular Motion (Centrifugal/Centripetal and tangential Accelaration)

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What happens to the centripetal acceleration of a revolving body if you double the orbital speed $v$ and halve the angular velocity $\omega$?

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