<Dl> <Dd> W = ∫ t 1 t 2 T ⋅ ω → d t . (\ displaystyle W = \ int _ (t_ (1)) ^ (t_ (2)) \ mathbf (T) \ cdot (\ vec (\ omega)) dt .) </Dd> </Dl> <Dd> W = ∫ t 1 t 2 T ⋅ ω → d t . (\ displaystyle W = \ int _ (t_ (1)) ^ (t_ (2)) \ mathbf (T) \ cdot (\ vec (\ omega)) dt .) </Dd> <P> This integral is computed along the trajectory of the rigid body with an angular velocity ω that varies with time, and is therefore said to be path dependent . </P> <P> If the angular velocity vector maintains a constant direction, then it takes the form, </P>

How is layman's definition of work similar or different in physics