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Motion In Straight Line

Question
CBSEENPH11017587

Why acceleration due to gravity at the poles is greater than at the equator?

Solution
The Earth revolves about its own axis with an angular velocity given by, 
                 straight omega equals fraction numerator 2 straight pi over denominator 86400 end fraction rad divided by sec 
At the equator, the body will experience the centrifugal force in an outward direction. So, at equator, the apparent weight will decrease and hence the acceleration due to gravity will decrease.
Acceleration due to gravity at the pole = g
Acceleration due to gravity at the equator = g - Rω
where, R is the radius of the earth.