A to Z Formula

What is the Dimensional Formula of Work?

Work is defined as force multiplied by displacement .Mathematically its formula is

Work= Force x Displacement

Now, we have already derived the dimensional formula for force and displacement. So
Dimensional Formula of Force= M1L1T-2
Dimensional Formula of Displacement = M0L1T0

Thus
Dimensional Formula of Work= (M1L1T-2) x M0L1T0

Dimensional Formula of Work= M1L2T-2
SI units of Work is Joule represented by J

It should be noted that energy of all types ( Surface Tension, Kinetic, Potential etc) have the same dimensional formula as that of Work. Moreover the Moment of Force represented by N-m also have same Dimensional formula

Exit mobile version