The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axis passing through the pole is ω. An object is weighed at the equator and at a height h above the poles by using a spring balance. If the weights are found to be same, then h is : $$(h$$

Question

The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axis passing through the pole is  ω. An object is weighed at the equator and at a height h above the poles by using a spring balance. If the weights are found to be same, then h is : $$(h$$ <

Infinity Learn · Accepted Answer

Weight of the object near the equator $$=$$  mg−Rω$$2And$$ at height h near the poles $$=$$  $$mgR2R+h2Given$$  mg−Rω$$2=mgR2R+h2=mg1$$−$$2hR$$,​⇒mg−Rω$$2=mg1$$−$$2hR$$           ∵h<

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