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What is the Dimensional Formula of Work?

Posted in Dimensional Formulae | Email This Post Email This Post |

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

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Comments
  • Ashwani Bharti November 26, 2012 at 7:30 pm

    Dimensional formula of work = [M^1L^2T^-2]

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  • Mr.nobody February 8, 2018 at 9:03 am

    It’s not force into distance.. it’s force into displacement 😎…

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