Dimensions of Speed

Dimensional Formula of Speed

The dimensional formula of speed is given by,

[M⁰ L¹ T^-1]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Speed (S) = Distance × [Time]^-1 . . . . (1)

The dimensional formula of distance = [M⁰ L¹ T⁰] . . . . (2)

And, the dimensions of time = [M⁰ L⁰ T¹] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Speed = Distance × [Time]^-1

Or, S = [M⁰ L¹ T⁰] × [M⁰ L⁰ T¹]^-1 = [M⁰ L¹ T^-1]

Therefore, speed is dimensionally represented as [M⁰ L¹ T^-1].

⇒ Check Other Dimensional Formulas:

• Dimensions of Dipole Moment
• Dimensions of Area
• Dimensions of Velocity Gradient
• Dimensions of Permittivity
• Dimensions of Universal Gas Constant

Motion in One Dimension (1D) Class 11 Physics