Acceleration in Uniform Circular Motion – Rankers Physics

Uniform Circular Motion: Practice Problem & Solution

Assertion (A): In uniform circular motion, magnitude of acceleration is \(\frac{V^2}{R}\) and direction is always towards the centre. Reason (R): In uniform circular motion, acceleration is constant.  
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Uniform Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:

In UCM, centripetal acceleration is \(a = \frac{V^2}{R}\) towards the center. So (A) is true. Acceleration direction continuously changes, so it's not constant. So (R) is false.

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