Question

Derive the dimensional formula for pressure.

Answer 1

$Pressure=\frac{Force}{Area}$

$=\frac{M\times \frac{velocity}{Time}}{{\left(length\right)}^2}$

$=\frac{M\times \frac{length}{time\times time}}{{\left(length\right)}^2}$

$=\frac{M}{{\left(time\right)}^2\times length}$

$=\frac{M}{T^2\times L}$

$=M{L}^{-1}{T}^{-2}$