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Question

The value of h will be
  1. ω2R22g
  2. ω2R2g
  3. 2ω2R23g
  4. 2ω2R2g

A
ω2R2g
B
ω2R22g
C
2ω2R2g
D
2ω2R23g
Solution
Verified by Toppr

Gravity is related to the angular speed is given by
g=gω2R
So the weight at the equator is mg=m(gω2R)
Gravity above the earth's surface is given by
g=g(12hR)
Implies the weight at the equator above the earth's surface is mg=mg(12hR)
It is given that these two weights are equal,
m(gω2R)=mg(12hR)
gω2R=g2ghR

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