Question

What is the dimensional formula of moment of force?

Answer 1

We have unit of mass as Kg dimensions are $\left[M^1\right]\left[L^0\right]\left[T^0\right]$ unit of acceleration as $m/s^2$ dimensionally expressed as $\left[M^0\right]\left[L^1\right]\left[T^{-2}\right]$ hence we have unit of force as $Kg\times m/s^2$

So dimensionally it can be written as $\left[M^1\right]\left[L^0\right]\left[T^0\right]\times \left[M^0\right]\left[L^1\right]\left[T^0\right]\left[M^0\right]\left[L^0\right]\left[T^2\right]=Kg\times m{s}^2$

Hence we get dimensional formula as $\left[M^1\right]\left[L^1\right]\left[T^{-2}\right]$