With special cases, explain how the acceleration due to gravity is affected at a latitude due to the rotational motion of the earth.
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Answer:
g
′
=g−ω
2
Rcos
2
λ
Now, for poles λ=90
o
and for equator λ=0
o
(i) For λ=90
g
pole
′
=g−ω
2
Rcos
2
90
o
=g
g
′
=g
There is not effect on g at the poles.
(ii) For λ=0
g
equator
=g−ω
2
Rcos
2
0
o
=g−ω
2
R
The effect of rotation of the Earth on the value of g at the equator is maximum.
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