Dimensions and Derivation of Angular Speed | Testbook.com
IMPORTANT LINKS
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
Frequently Asked Questions
What is the dimensional formula of Angular Speed?
The dimensional formula of angular speed is M^0L^0T^-1.
How is the dimensional formula of Angular Speed derived?
The dimensional formula of Angular Speed is derived using the concept of time. Angular speed (ω) = 2π × [Time]^-1. And, π is a dimensionless quantity. Therefore, angular speed is dimensionally represented as M^0L^0T^-1.
- 3 Live Test
- 163 Class XI Chapter Tests
- 157 Class XII Chapter Tests