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What should be the velocity of earth due...

What should be the velocity of earth due to rotation about its own axis so that the weight at equator become 3/5 of initial value. Radius of earth on equator is 6400 km

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What should be the velocity of earth due to rotation about its own axis so that the weight at equator becomes 2/5 of initial value? Radius of earth on equator is 6400 km and is 10 m/s^2 .

What should be the angular velocity of earth about its own axis so that the weight of the body at the equator would become 3/4 th of its present value ?

What should be the angular velocity of rotation of Earth about its own axis so that the weight of body at the equator reduces to 3/5 of its present value? (Take R as the radius of the Earth)

What will be the velocity of rotating of earth about its own axis so that a body becomes weightless at the equator ?

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Find the value of angular velocity of axial rotation of the earth, such that weight of a person at equator becomes 3/4 of its weight at pole, Radius of the earth at equator is 6400 km.

Find the value of angular velocity of axial rotation of the earth, such that weight of a person at equator becomes 3/4 of its weight at pole, Radius of the earth at equator is 6400 km.