Question

Find the dimensions of
(a) linear momentum,
(b) frequency and
(c) pressure.

Answer 1

(a) Linear momentum:

$=mass\times velocity=\left[M^1{L}^0{T}^0\right]\left[M^{0}L{T}^{-1}\right]$

$=\left[ML{T}^{-1}\right]$

(b) Frequency $=\frac{1}{time}=\left[M^0{L}^0{T}^{-1}\right]$

(c) Pressure

$=\frac{Force}{Area}=\frac{mass\times acceleration}{Area}=\frac{\left[M^1{L}^0{T}^0\right]\left[M^{0}L{T}^{-2}\right]}{\left[M^0{L}^2{T}^0\right]}$

$=\left[M^1{L}^{-1}{T}^{-2}\right]$