Dimensional Formula of Angular Velocity

The dimensional formula of angular velocity is given by,

[M⁰ L⁰ T^-1]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Angular Velocity = Angular displacement × [Time]^-1 . . . . (1)

The dimensional formula of Angular displacement = [M⁰ L⁰ T⁰] . . . . (2)

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

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

Angular Velocity = Angular displacement × [Time]^-1

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

Therefore, the angular velocity is dimensionally represented as [M⁰ L⁰ T^-1].

⇒ Check Other Dimensional Formulas:

• Dimensions of Dipole Moment
• Dimensions of Surface Tension
• Dimensions of Boltzmann Constant
• Dimensions of Surface Energy
• Dimensions of Gravitational Potential Energy

Angular Velocity – Applying Concepts