why the value of g is more at poles
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It is frequently stated that the value of the acceleration due to gravity at thepole is larger than at the equator because the poles are closer to the center of the earth due to the earth's oblateness.
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Due to Rotational motion of earth along it's axis, any particle on surface of Earth also gains up some centripetal acceleration towards the centre of earth.
So,this given us a relationship,
g' = g-w^2R*cos^2theta
Where,
g' = gravitational acceleration on any colatitude having angle theta with the equator.
g = gravitational acceleration at poles
w= Angular velocity of earth and R = radius of earth.
So, now,
Maximum acceleration is at the poles , and obviously the acceleration at equator or any other latitude will be lesser due to the extra negative term w^2R cos^2 theta
So,this given us a relationship,
g' = g-w^2R*cos^2theta
Where,
g' = gravitational acceleration on any colatitude having angle theta with the equator.
g = gravitational acceleration at poles
w= Angular velocity of earth and R = radius of earth.
So, now,
Maximum acceleration is at the poles , and obviously the acceleration at equator or any other latitude will be lesser due to the extra negative term w^2R cos^2 theta
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