Moderate

Angle between radius vector and centripetal acceleration is

Correct answer: D. none of these

  • A.
  • B. π /2
  • C.
  • D. none of these

Explanation

Consider a particle P is moving along a circle with center as the origin as shown in the figure. For any position of P in the path the radius vector lies along OP and is directed towards the particle.So the centripetal acceleration and radius vector are exactly directed opposite to each other at any position of the particle along the path.So the angle between centripetal acceleration and radius vector is 180 degrees which is equal to π in radians.

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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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