Physics · Gravitation
The acceleration due to gravity on the Earth's surface at the poles is g and the angular velocity of the Earth about the axis passing through the poles 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 the same, then h is equal to (where R is the radius of the Earth, assuming h << R):
- 1ω2R2g
- 2ω2R22g
- 3ω2R22g(1 - ω2R/g)✓
- 42ω2R2g
Correct answer
ω2R22g(1 - ω2R/g)
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