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Question

Write down the units and dimensional formulae of following physical quantities:
Stress=forcearea


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Solution

Units and dimensional formula of pressure:

  • Stress can be defined as the internal restoring force developed per unit area inside a body on the application of some external force.
  • Mathematically, it can be given as Stress=forcearea.
  • So, the unit of stress =Nm2=Nm-2, i.e., Newton per meter square which is nothing but Pascal (Pa) in SI system.
  • Use its unit to find the dimensional formula of stress:
    Stress=N×m-2[S]=[MLT-2]×[L-2]=[ML1-2T-2]=[ML-1T-2]

Thus, the unit of stress is Pascal(Pa),i.e.,Newtonpermetresquare(Nm-2) and its dimensional formula is [ML-1T-2].


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