Question

With what angular velocity the earth should spin in order that a body lying at 30° latitude may feel weightlessness

Answer 1

What should be the angular speed of earth so that body lying on equator may appear weightlessness

(g=10m/s , R=6400 km)

Equating centrifugal force to weight 
mv2/r = mg 
v2/r = g
v=(gr)0.5   = 8000 m/s = rw 
w= 8000/6400000 = 1/800 rad/sec

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