Dimension of Gravitational Constant (original) (raw)
Last Updated : 23 Jul, 2025
Dimensional Formula for Gravitational Constant is [**M -1 L 3 T -2 ]. TheGravitational 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 |
Dimensional Formula for Gravitational Constant
The dimensional formula of gravitational constant is
**M -1 L 3 **T **-2
where M denotes mass, L denotes length, and T denotes time.
Derivation of Dimensional Formula for Gravitational Constant
We can derive the dimensional formula for gravitational constant as follow:
As we know, from Newton’s law of gravitation,
Force (F) = (Gm1m2) × r-2
Gravitational Constant (G) = F × r2 × (m1m2)-1 ......(1)
As, Force (F) = Mass × Acceleration
Dimensionally, Force (F) = M × [LT-2]
The dimensional formula of force = M1 L1 T-2 ......(2)
On substituting equation (2) in equation (1) we get,
Gravitational Constant (G) = F × r2 × [m1 m2]-1
G = [M1 L1 T-2] × [L]2 × [M]-2
G = [M-1 L3 T-2]
Hence, the universal gravitational constant is dimensionally represented as **M -1 L 3 T -2.
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.
Read more about **Universal Gravitational Constant.
Gravitational Constant Formula
As we know, from Newton’s law of gravitation,
Force (F) = G m1 m2 / r2
**Gravitational Constant (G) = F × r 2 × (m 1 m 2 ) -1
**Read More,