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A solid sphere of mass 20 kg and radius ...

A solid sphere of mass 20 kg and radius 0.25 m rotates about an axis passing through the center. What is the angular momentum if the angular velocity is 5 rad/s .

Text Solution

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Mass of the sphere, m=20 kg Radius `r=0.25 m`
Angular velocity `omega=5 "rad s"^(-1)`
Solution: Angular momentum `L=I omega=(2)/(5) mr^(2) omeg`
`=(2)/(3)xx20xx(0.25)^(2)xx5=40xx(0.0625)=2.5`
`L=2.5 kg m^(2)s^(-1)`
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