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What is the Dimensional Formula of Coefficient of Elasticity?

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Coefficient of Elasticity is defined as the ratio of stress and strain.
Mathematically

Coefficient of Elasticity = Stress/Strain

Now we know
Strain= Change in dimension/Original dimension
Stress = Force/ Area
Thus
Dimensional Formula of Stress= (M1L-1T-2)
Dimensional Formula of Strain= (M0L0T0)

Putting these values in above equation we get
Dimensional Formula of Coefficient of Elasticity= M1L-1T-2
SI units of Coefficient of Elasticity is Nm-2

Please note the units of Coefficient of Elasticity are same as that of Stress, Pressure because Strain has no units.

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Comments
  • rekt boy August 5, 2015 at 5:11 pm

    M8e I believe that it should be L^2 as it is force over area, which is pressure noon.

  • Ronit singh April 4, 2016 at 4:14 am

    Thanks buddy.

  • Biak Tluanga Khiangte June 13, 2017 at 11:59 am

    Thank you!!!