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An object is moving at a constant speed along a circular path. Select the correct statement from the following.

An object is moving at a constant speed along a circular path. Select the correct statement from the following. Correct Answer All of the above

The correct answer is option 4) i.e. All of the above

CONCEPT:

  • Uniform circular motion is where a moving object traces a circular path with constant speed.
    • ​A circle is assumed to be a polygon with infinitely many sides such that each side approximates to a point.
    • So, the object moving on a circular path undergoes a change in direction at every point.
    • Since direction changes and speed remains constant, velocity is varying.
  • ​Centripetal acceleration: The acceleration associated with a change in velocity in a circular motion is called centripetal acceleration. It is directed towards the centre of the circular path.

EXPLANATION:

  • A circle is assumed to be a polygon with infinitely many sides such that each side approximates to a point. So the object moving on a circular path undergoes a change in direction at every point i.e. the velocity changes at every point.

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  • Hence, at any point in the circular motion, the velocity vector will be directed tangentially to represent the direction of the side of the polygon.
  • The centripetal acceleration keeps the object under circular motion and therefore, is directed towards the centre.
  • Therefore, the velocity vector and acceleration vector will be perpendicular to each other.

Hence, all the given statements are correct.

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