Question

Explain how acceleration due to gravity varies with latitude due to the rotation motion of earth

Answer 1

heya mate!!!

__________________________

for the answer plz refer to the attachment....

hope it helps u mate

_____________________________

Answer 2

Outward centrifugal force caused due to rotation of earth affects (decreases) the acceleration due to gravity. The change varies with the latitude.

Let us consider the earth to be a spherical ball of mass ‘M’ and radius ‘R’. An object of mass ‘m’ is at point P at latitude φ, when the earth is not rotating the weight of the object is mg. But earth is rotating with angular velocity. So, the object is moving in a circular path of radius ‘r’ as shown in the figure. The object experiences centrifugal force, is given in the first attachment.

The object is being acted by two forces ‘mg’ and the other one. The resultant of these two forces gives the apparent weight of the object (m’g). The resultant of the two forces is given by the diagonal of the parallelogram OPAB.

From parallelogram law of vector addition:

(2nd attachment)

(3rd attachment)

At poles; φ = 90°

g’ = g.

So, at equator the effect is highest so the gravity is lowest and at the poles gravity remains unaffected of rotation.

Hope this helps... : )