GravitationHard
Question
If the earth were to cease rotating about its own axis. The increase in the value of g in C.G.S. system at a place of latitude of 45o will be
Options
A.2.68
B.1.68
C.3.36
D.0.34
Solution
λ = 45o; R = 6400 × 103m

the value of acceleration due to gravity with latitu λ due to rotation of earth is,
g′ = g - ω2 cos2λ
g′ - g = ω2 cos2λ


= 16.89 × 10-3 m/ sec2
= 16.89 × 10-1 cm/ sec2
= 1.68 cm/ sec2

the value of acceleration due to gravity with latitu λ due to rotation of earth is,
g′ = g - ω2 cos2λ
g′ - g = ω2 cos2λ


= 16.89 × 10-3 m/ sec2
= 16.89 × 10-1 cm/ sec2
= 1.68 cm/ sec2
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