A particle revolves around a circular path with a constant speed. The acceleration of the particle is
Correct answer: B. Along the radius
- A. Along the circumference of the circle
- B. Along the radius
- C. Along the tangent
- D. Zero
Explanation
Option B is correct. When a body revolves with uniform speed, the linear acceleration a and angular acceleration α are zero. Only centripetal acceleration is present in the body, which is directed along the centre of the circle. The linear acceleration is the rate of change of the velocity of the body. When the body is moving with uniform speed, the velocity remains constant, so the linear acceleration is zero. The angular acceleration is the rate of change of the angular velocity of the body. When the body is rotating with uniform speed, the angular velocity remains constant, so the angular acceleration is zero. The centripetal acceleration is the acceleration that is required to keep the body moving in a circular path. It is always directed towards the centre of the circle.
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About Angular and Linear Quantities
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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