# What is the Dimensional Formula of Pressure?

Posted in Dimensional Formulae | 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= M^{1}L^{1}T^{-2}

Dimensional Formula of Area= M^{0}L^{2}T^{0}

Thus

Dimensional Formula of Pressure = (M^{1}L^{1}T^{-2})/(M^{0}L^{2}T^{0})

**Dimensional Formula of Pressure = M ^{1}L^{-1}T^{-2}**

SI unit of Pressure is Nm^{-2}

**Note – Stress also has the same dimensional formula**

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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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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

Yes Amrita Dimensional formula of pressure and stress are same.

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is it same for pressure difference

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