Dimensional Formula of Angular Speed

The dimensional formula of angular speed is given by,

M⁰ L⁰ T^-1

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Angular speed (ω) = 2π × [Time]^-1 . . . . . (1)

⇒ The dimensional formula of time = [M⁰ L⁰ T¹] . . . . (2)

And, π is a dimensionless quantity.

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

Angular speed = 2π × [Time]^-1

Or, ω = [M⁰ L⁰ T¹]^-1

Therefore, angular speed is dimensionally represented as M⁰ L⁰ T^-1.

⇒ Check Other Dimensional Formulas:

• Dimensions of Charge
• Dimensions of Temperature
• Dimensions of Linear Density
• Dimensions of Coefficient of Friction
• Dimensions of Gravitational Potential Energy