(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)

$A$ particle moves in a circular path of radius $r$ with speed $v.$ It then increases its speed to $2v$ while travelling along the same circular path. The centripetal acceleration of the particle has changed by a factor of

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Is the tangential acceleration of a particle moving in a circular path always zero? Under what condition is it zero?

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Explain the effects of the radial component and the tangential component of the linear acceleration of a particle in circular motion.

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In a hypothetical ring-shaped satellite rotating in space, artificial gravity can be achieved using centripetal force. If the satellite has a radius of $10 \,m$, then to achieve a centripetal acceleration at a point on the circumference of $10 \,ms^{-2}$, its angular speed is:

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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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