Question

The dimension of torque is:

• A. $\left[M L^3 T^{-3}\right]$
• B. $\left[M L^{-1} T^{-1}\right]$
• C. $\left[M L^2 T^{-2}\right]$
• D. $\left[M T^{-2}\right]$

Answer 1

Answer: (C)

The moment of a force or the torque about an axis of rotation is equal to the product of the magnitude of the force $(F)$ and the perpendicular distance $(r)$ of the line of action of force from the axis of rotation.
$\therefore \tau=F \times r $
$\therefore \text { Dimensions of torque }=\text { Dimensions of force } \times \text { Dimensions of distance }$
$= {\left[M L T^{-2}\right] \times[L]=\left[M L^2 T^{-2}\right]}$