For a particle in uniform circular motion (radius R and angular velocity w), the magnitude and direction of acceleration, respectively are | UPSC CAPF 2026 Q No 116

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For a particle in uniform circular motion (radius R and angular velocity w), the magnitude and direction of acceleration, respectively are

Options:

  1. R, along the radius outward
  2. WR, towards the centre of the circle
  3. w*R, towards the centre of the circle
  4. wR, along the linear velocity
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Accepted Answer

Accepted Answer: (C) w*R, towards the centre of the circle

Topic Covered: Physics

Key Concept: Mechanics, electricity, waves and thermodynamics

For uniform circular motion, centripetal acceleration is a = ω²R and its direction is always towards the centre of the circular path.

The key is to apply the central fact, formula, definition or relationship tested in the question and then eliminate alternatives that do not satisfy it.

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