A particle moves in a circular path of radius r with a constant speed v. What is

Practice Questions

Q1
A particle moves in a circular path of radius r with a constant speed v. What is the centripetal acceleration? (2022)
  1. v²/r
  2. vr
  3. r/v
  4. v/r

Questions & Step-by-Step Solutions

A particle moves in a circular path of radius r with a constant speed v. What is the centripetal acceleration? (2022)
  • Step 1: Understand that centripetal acceleration occurs when an object moves in a circular path.
  • Step 2: Identify the variables: 'v' is the constant speed of the particle, and 'r' is the radius of the circular path.
  • Step 3: Recall the formula for centripetal acceleration, which is a_c = v²/r.
  • Step 4: Substitute the values of 'v' (speed) and 'r' (radius) into the formula if needed.
  • Step 5: Calculate the centripetal acceleration using the formula.
  • Centripetal Acceleration – Centripetal acceleration is the acceleration directed towards the center of a circular path, necessary for an object to maintain circular motion.
  • Uniform Circular Motion – The motion of an object traveling at a constant speed along a circular path, where the direction of the velocity vector changes continuously.
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