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What is the linear velocity of a person ...

What is the linear velocity of a person at equator of the earth due to its spinning motion? (Radius of the earth = 6400 km.)

Text Solution

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The earth completes one rotation in 24 hour. Its angular velocity.
`omega = (2pi N)/(t)=(2pi xx1)/(24xx60xx60)=(pi)/(43,200)rad s^(-1)`
`R=6.4xx10^(6)m`
The linear velocity,
`v=R omega = 6.4xx10^(6)xx(pi)/(43,200)=465.5 m//s`
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