Question

The angular velocity of the earth with which it has to rotate so that the acceleration due to gravity on 60 degree
latitude zero is _____.

Answer 1

Explanation:

we know that the variation of the acceleration due to gravity with rotation and latitude of earth is given by

g ′=g−Rω 2cos2ϕ

where

R = radius of the earth = 6400000 m

ϕ = ange of latitude = 60∘ (given)

then,

0=9.8−6400000×ω 2cos 2(60)

9.8=6400000×ω 2cos2 (60)

ω=2.48×10^ −3 rad/s

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