Mechanical Work

Work is
$w_{1-2}={\int }_1^{2}Fdx$

Shaft Work

$W_{sh}=\frac{T}{r}\left(2\pi r\right)n$
Where T=Fr and n is the # of rotations.

Shaft Power

$W_{sh}^{\prime }=2\pi n^{\prime }T$
Where n’ = revolutions per time and the units of W’ are KW

Work of Compression / Expansion

$W_{1-2}={\int }_1^{2}PAdx={\int }_1^{2}PdV$
Amount of work depends on the process path