Question

Deduce the dimension of the following:

1.work

2.momentum

3.power

4.frequency

Answer 1

Dimension of work:

$$[W]=[F][d]=\text M^1\text L^1\text T^{-2}·\text L^1=\text M^1\text L^2\text T^{-2}.$$

Momentum:

$$[p]=[m][v]=\text M^1·\text L^1\text T^{-1}=\text M^1\text L^1\text T^{-1}.$$

Power:

$$[P]=[F][v]=\text M^1\text L^1\text T^{-2}·\text L^1\text T^{-1}=\text M^1\text L^2\text T^{-3}.$$

Frequency:

$$[f]=\frac1{[T]}=\text T^{-1}.$$