Rotational Work

Summary

Rotational work measures the energy transferred from the rotational force on an object

Key Equations:

Rotational work:
$W = \int_{a}^{b} τ \cdot d θ$

Read Time

⏱ 1 min

Rotating Work

Rotational work measures the energy transferred when a force moves an object rotationally. An object will only rotate when a Torque is applied to it. So mathematically, rotational work is the integral of Torque dotted with Angular Displacement.

W = \int_{a}^{b} τ \cdot d θ

Note

There is a dot product between Torque and Angular Displacement because only the perpendicular force contributes to rotational motion.