value of g depends on which factors and how
Answers
→Answer :
Factors on which g depends are
[a] Height [b] Depth [c] Shape of earth [d] Rotation of earth.
• [a] Height : “g” decreases as one moves away from the surface of the Earth.
it is govern by formula , g’= g [ 1 - (2h/R) ] , where h is height , R is radius
hence when height h = R , g’=0.
• [b] Depth : The value of gravitational acceleration decreases if one moves towards the center of the Earth. It is govern by formula g’=g [ 1-(d/R)]
where d is depth, R is radius
• [c] Shape : As earth is not a perfect sphere , it radius along eq is greater than that of poles. ie Re > Rp
Now as we know g = GM/R^2 that is g depends inversely on square of radius so
“g”at poles is greater than that of value g at equator.
Hence value of g decreases when we move from poles to equator.