If r is the radius of earth and g the accelerastion due to gravity on the earth's surface, the mean density of the earth is
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Acceleration due to gravity, radius and density are related as,
g=43πGρRDensity of earth,ρ=34gπGRWe can also derive as below,We know that,g=GMR2−−−−(i)And density,ρ=MassVolume=M43πR3Or M=43πR3ρPutting in (i),g=G(43πR3ρ)R2or g=43πGρRor ρ=34
g=43πGρRDensity of earth,ρ=34gπGRWe can also derive as below,We know that,g=GMR2−−−−(i)And density,ρ=MassVolume=M43πR3Or M=43πR3ρPutting in (i),g=G(43πR3ρ)R2or g=43πGρRor ρ=34
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