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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 xx 1)/(24 xx 60 xx 60) = (pi)/(43,200)" rad s"^(-1)`
`R = 6.4 xx 10^(6)m`
The linear velocity,
`v = R omega - 6.4 xx 10^(6) xx (pi)/(43,200) = 465.5 m//s`
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