# On torque and work having same units

In rotational motion ,

the units for torque, $\tau = r \times F$,

are N $\cdot$ m

and for work done by a torque,

$W = \int_{\theta1}^{\theta2} \tau \cdot d\theta$, are Joules.

Yet both these quantities are homongenous/ have same SI units.

Is it so wrong to quote torques in Joules? If so, why?
(And vice versa)

b.

Shooting Star
Homework Helper
Torque and work are two different types of quantities. Work done done is a scalar quantity, whereas torque is a (pseudo)vector.

As a matter of interest, you are not even supposed to say mN for torque, but Nm.

Last edited by a moderator:
Redbelly98
Staff Emeritus