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Work

If the body is initially at rest and angular displacement is  due to torque, then work done on the body
 
43445.png
 
Analogue to work in translatory motion, 43439.png

Kinetic energy

The energy which a body has by virtue of its rotational motion is called rotational kinetic energy. A body rotating about a fixed axis possesses kinetic energy because its constituent particles are in motion, even though the body as a whole remains in place.
 
Rotational kinetic energy
Analogue to translatory kinetic energy
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Power

Rate of change of kinetic energy is defined as power.
 
43389.pngα = Iαω = τω
 
In vector form, power 43383.png [analogous to power in translatory motion 43376.png




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