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A car is moving in a circular path of radius 50 m with a constant speed of 20 m/

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Question: A car is moving in a circular path of radius 50 m with a constant speed of 20 m/s. What is the centripetal acceleration of the car?

Options:

  1. 2 m/s²
  2. 4 m/s²
  3. 8 m/s²
  4. 10 m/s²

Correct Answer: 4 m/s²

Solution: 

Centripetal acceleration (a_c) = v²/r = (20 m/s)² / (50 m) = 8 m/s².

A car is moving in a circular path of radius 50 m with a constant speed of 20 m/

Practice Questions

Q1
A car is moving in a circular path of radius 50 m with a constant speed of 20 m/s. What is the centripetal acceleration of the car?
  1. 2 m/s²
  2. 4 m/s²
  3. 8 m/s²
  4. 10 m/s²

Questions & Step-by-Step Solutions

A car is moving in a circular path of radius 50 m with a constant speed of 20 m/s. What is the centripetal acceleration of the car?
Correct Answer: 8 m/s²
  • Step 1: Identify the formula for centripetal acceleration, which is a_c = v² / r.
  • Step 2: Determine the values needed for the formula. Here, the speed (v) is 20 m/s and the radius (r) is 50 m.
  • Step 3: Substitute the values into the formula: a_c = (20 m/s)² / (50 m).
  • Step 4: Calculate (20 m/s)², which equals 400 m²/s².
  • Step 5: Divide 400 m²/s² by 50 m to find the centripetal acceleration: 400 m²/s² / 50 m = 8 m/s².
  • Centripetal Acceleration – Centripetal acceleration is the acceleration directed towards the center of a circular path, necessary for an object to maintain circular motion.
  • Formula Application – Understanding and applying the formula for centripetal acceleration, which is a_c = v²/r, where v is the speed and r is the radius of the circular path.
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