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)

$AngularAcceleration=\frac{Angularvelocity}{Time}$
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 $rad/s^2$