Question

What is the unit of moment of force ?

Answer 1

Hint: Whenever asked to find the unit of any term, always write its formula first and you can derive its unit from the formula without having to cram the units of terms like work, power etc.

Complete answer:
Let’s understand the definition first, Mathematically, Moment of force or Torque is the product of force applied and the perpendicular distance of the line of action of force from a specific point/hinge/the axis of rotation.The above definition was the mathematical definition. In simpler terms, it is just a force like any other force but this force is responsible for the rotation of the object. It is a vector quantity, which means it has both direction(Clockwise or Anticlockwise) and magnitude.

A real life example would be pushing the door. You push the door handle and the door rotates about its hinge. The rotation was possible because of the torque produced by the force you applied on the handle.Now we know both the definitions, So according to mathematical definition,
$\text{Moment of force or Torque = Force}\, \times\,\text{Perpendicular distance from the pivoted point}$
We know the S.I unit of force is Newton(N) and the S.I unit of distance is metre.

Therefore, the S.I unit of moment of force is Newton-metre(Nm).

Note: You don’t need to learn and cram the units, just remember the basic units of terms like force, distance, speed etc. You can derive the units of other new terms from the formula itself.