Question

The dimensional formula of angular acceleration is

• A. Dimensional formula: $\left[\text{M}^{0} \text{L}^{0} \text{T}^{- 2}\right]$
• B. Dimensional formula: $\left[\text{M}^{2} \text{L}^{0} \text{T}^{- 2}\right]$
• C. Dimensional formula: $\left[\text{M}^{2} \text{L}^{-1} \text{T}^{- 2}\right]$
• D. Dimensional formula: $\left[\text{M}^{-2} \text{L}^{-1} \text{T}^{- 2}\right]$

Answer 1

Answer: (A)

$Angular \, Acceleration=\frac{A n g u l a r \, v e l o c i t y}{T i m e}$
Dimensional Formula of Angular velocity $M^{0}L^{0}T^{- 1}$ Divide it by Time $T^{1}$
So Dimensional Formula of Angular Acceleration $M^{0}L^{0}T^{- 2}$
SI unit of Angular displacement is rad $rad/s^{2}$