A stone attached to a string is whirled round in a horizontal circle with a constant speed of 10 m s Calculate the difference in the velocity when the stone is (i) at opposite ends of a diameter and (ii) in two positions A and B where angle AOB is 90 and O is the centre of the circle.
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Concept:
- Horizontal uniform circular motion
- Velocity and displacement
Given:
- Constant speed of stone v = 10 m/s
Find:
- The difference in velocity when the stone is at the opposite ends of a diameter
- The difference in velocity in two positions A and B where angle AOB is 90 and O is the centre of the circle
Solution:
- There is only centripetal acceleration and no tangential acceleration. So the speed does not change in magnitude.
- Since the speed is constant throughout the circular motion, the only change is in the direction.
- The speed at the opposite ends of the diameter is the same, 10 m/s, only their directions are opposite
- So the difference in velocity = 10-(-10) = 20 m/s
The difference in velocity is 20 m/s.
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