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What is the Dimensional Formula of Pressure?

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

Pressure is defined as force per unit area.Mathematically its formula is

Pressure = Force/Area
Now, we have already derived the dimensional formula for force and area in previous posts. So
Dimensional Formula of Force= M1L1T-2
Dimensional Formula of Area= M0L2T0
Thus
Dimensional Formula of Pressure = (M1L1T-2)/(M0L2T0)
Dimensional Formula of Pressure = M1L-1T-2
SI unit of Pressure is  Nm-2(Nm-2 is also called as Pascal).
we can also state that SI unit of Pressure is Pascal
Note – Stress also has the same dimensional formula

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Comments
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    I was using pressure as (mass/Area) instead of (Force/Area), resulting a wrong answer. Now it’s okay. thank you

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  • Samsoom December 13, 2015 at 6:27 am

    Can I get some help? I can’t understand why is it ML-1T-2 and not ML-2T-2???? Shouldn’t the L be to the power of negative 2 because It was a denominator to the power of two and we should add a negative to it as we remove the fraction??? If you have any Info or advice, I would love to hear.=

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    Is this same for pressure difference

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    Pressure and stress dimensional formula sem

  • admin March 22, 2017 at 11:21 am

    Yes Amrita Dimensional formula of pressure and stress are same.

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    is it same for pressure difference

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