Exploring the Dimensional Formula of Angular Speed

Angular speed, a critical concept in physics, has a specific dimensional formula. This formula is as follows:

M⁰ L⁰ T^-1

In this formula, we use the following symbols:

• M represents Mass
• L stands for Length
• T signifies Time

Deriving the Dimensional Formula of Angular Speed

Let's break down the derivation of angular speed (ω). It can be denoted as:

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

From this, we can deduce that the dimensional formula of time is [M⁰ L⁰ T¹] . . . . (2)

It's essential to remember that π is a dimensionless quantity.

If we replace equation (2) in equation (1), we get:

Angular speed = 2π × [Time]^-1

Or, ω = [M⁰ L⁰ T¹]^-1

Hence, we can say that angular speed is dimensionally represented as M⁰ L⁰ T^-1.

Explore More Dimensional Formulas

• Learn about the Dimensions of Charge
• Discover the Dimensions of Temperature
• Understand the Dimensions of Linear Density
• Study the Dimensions of Coefficient of Friction
• Explore the Dimensions of Gravitational Potential Energy