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What is Dimensional Formula of Escape velocity ?

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Escape velocity is defined as minimum velocity required to escape from the gravitational pull of the earth.

Mathematically,

Escape velocity (Ve) =  ( 2 G M / r) 1/2 where

G = Universal Gravitational constant

M = Mass of earth in kg

r= distance to center of earth in meters

Dimensional Formula of Universal Gravitational constant = M-1L3T-2
Dimensional Formula of Mass of earth = M1L0T0
Dimensional Formula of distance to center of earth = M0L1T0

Putting these values in above equation we get,

Ve = ( [M-1L3T-2] [M1L0T0] / [M0L1T0] ) 1/2

Ve = (M0L2T-2) 1/2

Ve = M0L1T-1

Dimensional Formula of Escape velocity (Ve) = M0L1T-1
SI Unit of Escape velocity(Ve) is ms-1

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Comments
  • anupam raj August 21, 2015 at 8:20 am

    Escape velocity and orbital velocity of same dimension

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