Question:
Find the dimensions of
(a) linear momentum
(b) frequency
(c) pressure
Solution:
(a) Linear momentum $=\mathrm{mv}$
Dimension $=\left[\mathrm{MLT}^{-1}\right]$
(b) Frequency $=1 / \mathrm{T}$
Dimension $=\left[\mathrm{T}^{-1}\right]$
(c) Pressure = Force/Area
Dimension $=\left[\mathrm{MLT}^{-2}\right] /\left[\mathrm{L}^{2}\right]=\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]$