Multiple Choice Questions

A particle is moving in a circle of radius R with a constant speed v Its average acceleration o...........

General Science (NDA) Physics

A particle is moving in a circle of radius R with a constant speed v. Its average acceleration over the time when it moves over half the circle is :

This questions was previously asked in

2023 NDA -1 GAT

v²/R

πv²/R

2v²/πR

- A particle moving in a circle with constant speed has centripetal acceleration directed towards the circle's center.

- Average acceleration is the change in velocity over time. For half a circle, the direction changes by 180 degrees.

- Option 1: v²/R - Incorrect. This is the instantaneous centripetal acceleration, not the average over half the circle.

- Option 2: πv²/R - Incorrect. This does not align with the required calculation for average acceleration over half the circle.

- Option 3: 2v²/πR - Correct. The average acceleration over half the circle considers the change in velocity magnitude and direction.

- Option 4: 0 - Incorrect. The direction change results in a non-zero average acceleration.

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