Rotational work is torque times angular distance

When a torque accelerates a rigid body in rotation about a fixed axis, the torque does work on the body. When the torque is constant, the work done on the body is proportional to torque and the angular displacement during the movement of the body.

Links:

  1. Wikipedia.

work

The work done by the torque.

Symbol:

W

Latex:

\(W\)

Dimension:

energy

torque

The torque acting on the body.

Symbol:

tau

Latex:

\(\tau\)

Dimension:

force*length

angular_distance

The angular_distance of the body.

Symbol:

theta

Latex:

\(\theta\)

Dimension:

angle

law

W = tau * theta

Latex:
\[W = \tau \theta\]