Question

dimensional formula of torque​

Answer 1

Torque, moment, or moment of force is the rotational equivalent of linear force. The concept originated with the studies of Archimedes on the usage of levers. Just as a linear force is a push or a pull, a torque can be thought of as a twist to an object. The symbol for torque is typically {\displaystyle {\boldsymbol {\tau }}}, the lowercase Greek letter tau. When being referred to as momentof force, it is commonly denoted by M.

Torque

Relationship between force F, torque τ, linear momentum p, and angular momentum L in a system which has rotation constrained to only one plane (forces and moments due to gravityand friction not considered).

Common symbols

{\displaystyle \tau }MSI unitN⋅m

Other units

pound-force-feet, lbf⋅inch, ozf⋅inIn SI base unitskg⋅m2⋅s−2DimensionM L2 T−2

In three dimensions, the torque is a pseudovector; for point particles, it is given by the cross product of the position vector (distance vector) and the force vector. The magnitude of torque of a rigid body depends on three quantities: the force applied, the lever arm vector connecting the origin to the point of force application, and the angle between the force and lever arm vectors. In symbols:

{\displaystyle {\boldsymbol {\tau }}=\mathbf {r} \times \mathbf {F} \,\!}{\displaystyle \tau =\|\mathbf {r} \|\,\|\mathbf {F} \|\sin \theta \,\!}

where

{\displaystyle {\boldsymbol {\tau }}} is the torque vector and {\displaystyle \tau } is the magnitude of the torque,r is the position vector (a vector from the origin of the coordinate system defined to the point where the force is applied)F is the force vector,× denotes the cross product, which is defined as magnitudes of the respective vectors times {\displaystyle \sin \theta }.{\displaystyle \theta } is the angle between the force vector and the lever arm vector.

The SI unit for torque is N⋅m. For more on the units of torque, see Units.
hope it works....

Answer 2

Dimensional formulae of torque[L^2MT^-2]