What is Gravitational Constant?

Gravitational constant describes the intrinsic strength of gravity and can be used to calculate the gravitational pull between two objects. It is a physical constant derived using Newton’s Law and is represented by the letter G. According to Newton’s law of gravitational constant the attractive force between two objects (F) is equal to G times the product of their masses (m1, m2) divided by the square of their distance (r2).

Mathematically,

F ∝ m1m2 / r2

F = G m1 m2 / r2

Here, G is proportional constant called Gravitational Constant.

G is equal to 6.6743 × 10-11 m3 kg-1 s-2.

Gravitational Constant Formula

As we know, from Newton’s law of gravitation,

Force (F) = G m1 m2 / r2

Gravitational Constant (G) = F × r2 × (m1m2)-1

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Dimension of Gravitational Constant

Dimensional Formula for Gravitational Constant is [M-1 L3 T-2]. The Gravitational Constant is represented by ‘G‘. It is Newton’s gravitational constant and gives the constant of proportionality in Newton’s Universal law of gravitation which is the basis of our understanding of non-relativistic gravity.

In this article, we will discuss the ‘Gravitational Constant,’ its unit, dimensional formula, and the derivation of the Gravitational Constant.

Gravitational Constant (G)

Dimensional Formula

M-1 L3 T-2

SI Unit

Nm3 kg-2

Value

6.6743 × 10-11 m3 kg-1 s-2

Formula

G = F × r2 × (m1m2)-1

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