Friday, 31 March 2017

Why does gravitational acceleration differ at different places on earth


We know that the force of gravity varies from place to place on the surface of earth.

There are two reasons behind this variation:
The shape of earth.
The rotation of earth.
    

The earth is not a perfect sphere, but bulges at equator. Therefore if a body is taken from pole to equator its distance from the centre of the earth will change. Consequently,the gravitational force also varies.    
VARIATION OF g WITH ALTITUDE


Consider the variation of g when a body moves distance upward or downward from the surface of earth.
Let g be the value of acceleration due to gravity at the surface of earth and g' at a height h above the surface of earth.
If the earth is considered as a sphere of homogeneous composition, then g at any point on the surface of the earth is given by:
                                   
This expression indicates that the acceleration due to gravity decreases with altitude.

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