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Question

A t what angular speed should the earth rotate so that a body situated on the equator becomes weightless ?
( Acceleration due to gravity = 9.8 m/s2 , Radius of the earth = 6400 km)

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Solution

For weightless condition.
mg=mRew2cos2λw=gRe=1800
=1.25×103rad/s
At equation,
λ=0


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