Question

Dimensions of torque are:

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

Answer 1

Answer: (B)

Torque is measured in units of newton-metres. The force applied to a lever, multiplied by its distance from the levers fulcrum is torque.
ie., $ \tau =r.F $ or $ \tau =N-m $
$ \therefore $ $ [\tau ]=[ML^{2}T^{-2}] $
Torque is the time derivative of angular momentum. Also dimensions of work, kinetic energy and torque are same.