Uniform Circular Motion Velocity and Acceleration – Rankers Physics
Topic: Circular Motion
Subtopic: Uniform Circular Motion

Uniform Circular Motion Velocity and Acceleration

Assertion (A): If a body is in state of uniform circular motion then its velocity and acceleration both are varying.
Reason (R): If magnitude of velocity is \(v\) and radius of uniform circular motion is \(r\) then magnitude of acceleration is \(v^2/r\).
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

In uniform circular motion, velocity (vector) and acceleration (vector) are varying due to changing direction. So (A) is true. The magnitude of centripetal acceleration is \(a_c = v^2/r\). So (R) is true. However, (R) describes the magnitude, not the reason for vector variation. Thus, (R) is not the correct explanation of (A).

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