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What is the centripetal acceleration of an object moving in a circle of radius 3

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Question: What is the centripetal acceleration of an object moving in a circle of radius 3 m at an angular velocity of 4 rad/s?

Options:

  1. 4 m/s²
  2. 12 m/s²
  3. 16 m/s²
  4. 24 m/s²

Correct Answer: 12 m/s²

Solution: 

Centripetal acceleration a_c = rω² = 3 m * (4 rad/s)² = 3 * 16 = 48 m/s².

What is the centripetal acceleration of an object moving in a circle of radius 3

Practice Questions

Q1
What is the centripetal acceleration of an object moving in a circle of radius 3 m at an angular velocity of 4 rad/s?
  1. 4 m/s²
  2. 12 m/s²
  3. 16 m/s²
  4. 24 m/s²

Questions & Step-by-Step Solutions

What is the centripetal acceleration of an object moving in a circle of radius 3 m at an angular velocity of 4 rad/s?
  • Centripetal Acceleration – Centripetal acceleration is the acceleration directed towards the center of a circular path, calculated using the formula a_c = rω², where r is the radius and ω is the angular velocity.
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