WBCS.LIVE practice question

A particle is moving in a uniform circular motion with constant speed V along a circle of radius r. The acceleration of the particle is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. Zero
  2. V/r
  3. V/r²
  4. V²/r

Correct answer and explanation

Correct answer: V²/r

Explanation: For an object moving in a uniform circular motion, acceleration is V²/r and directed towards the centre (centripetal acceleration). 📚 Other Information: ▪️ Even though the speed remains constant, direction changes continuously. ▪️ The acceleration is called centripetal (centre-seeking). ▪️ It keeps the body moving along the circular path. ▪️ Formula: a = V² / r, where V = velocity, r = radius. ▪️ The force responsible is centripetal force = mV² / r. ▪️ Example: A stone tied to a string and rotated in a circle. ▪️ Without centripetal force, the body moves in a straight line (tangentially). ▪️ The concept is key in satellite motion, banking of roads, and orbits.