Dimensional Formula of Energy

The dimensional formula of energy is given by,

M¹ L² T^-2

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Energy = m × c² . . . . (1)

Where m = mass and c = velocity

Since, velocity (c) = Distance × [Time]^-1 = M⁰ L¹ T^-1

∴ The dimensional formula of velocity = M⁰ L¹ T^-1 . . . . (2)

On substituting equation (2) in equation (1) we get,

Energy = m × c²

Or, E = [M] × [L¹ T^-1]² = M¹ L² T^-2.

Therefore, energy is dimensionally represented as M¹ L² T^-2.

⇒ Check Other Dimensional Formulas:

• Dimensions of Magnetic Flux
• Dimensions of Gravitational Potential Energy
• Dimensions of Density
• Dimensions of Reynolds Number
• Dimensions of Rotational Kinetic Energy