Question
Download Solution PDFA body is moving in a circular path with acceleration a. If its velocity gets half then find the ratio of acceleration after and before the change of velocity?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Centripetal Acceleration (a): Acceleration acting on the object undergoing uniform circular motion is called centripetal acceleration.
- It always acts on the object along the radius towards the center of the circular path.
- The magnitude of centripetal acceleration,
Where v = velocity of the object and r = radius
EXPLANATION:
- When an object moves in a circular path with constant speed, then its acceleration is given as
- When speed is half then acceleration is given as
- Now the ratio of final and initial acceleration will be
So, the ratio of acceleration will be
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