Dimensional formula of gravitational constant

How to derive it

Gravitational constant = Force × Distance² ÷ (Mass × Mass), from F = Gm₁m₂/r²

Put in the dimensions of each part: [MLT⁻²] × [L²] ÷ [M²] = [M⁻¹ L³ T⁻²].

mass (M)

-1

length (L)

3

time (T)

-2

current (A)

0

temperature (K)

0

SI unit

The SI unit of gravitational constant is N·m²/kg².

Same dimensions as gravitational constant

None of the other quantities on this site share these exact dimensions.

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