A particle is moving along a circle of radius 10 m at a constant speed of 5 m/s.Find (I) centripetal acceleration and (II) angular speed of the particle.
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Given that:
- Radius = 10m
- Speed = 5 m/s
Need to find:
- (I) Centripetal acceleration
- (II) Angular speed of the particle
Solution:
Given,
- v = 5 m/s
- r = 10 m
Formula to find the centripetal acceleration —
According to the question—
Hence,centripetal acceleration is 2.5 m/s^2.
Formula to find the angular velocity —
According to the question —
Hence,the angular speed of the particle is 0.5 radian/s.
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