Acceleration In Circular Motion
A particle performs uniform circular motion with angular velocity ω. What is the magnitude of its acceleration at any instant if the radius of the circle is r?
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About This Question
- Subject
- physics
- Chapter
- kinematics
- Topic
- acceleration in circular motion
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
ω²r
- Concept: Centripetal acceleration is ac=v2/r directed toward the center.
- Angular relation: The linear velocity v and angular velocity ω are linked by v=rω.
- Substitution:
- ac=r(rω)2=rr2ω2.
- Result: ac=ω2r.
- Note: In uniform circular motion, tangential acceleration is zero, so this centripetal acceleration is the total acceleration.
This medium difficulty physics question is from the chapter kinematics, covering the topic of acceleration in circular motion. It appeared in the 2025 exam.
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