Dimensional Formula of Power

The dimensional formula of power is given by,

M¹ L² T^-3

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Power (P) = Work × time^-1 = Joule × second^-1 . . . . . (1)

Since, Work (J) = Force (M x a) × displacement = M¹ L¹ T^-2 × [L]

Therefore, the dimensional formula of work = M¹ L² T^-2 . . . . (2)

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

Power (P) = Work × time^-1

Or, P = [M¹ L² T^-2] × [T^-1] = M¹ L² T^-3.

Therefore, power is dimensionally represented as M¹ L² T^-3.

⇒ Check Other Dimensional Formulas:

• Dimensions of Acceleration Due To Gravity
• Dimensions of Magnetic Flux
• Dimensions of Wavelength
• Dimensions of Surface Energy
• Dimensions of Gravitational Potential Energy