Question

Both torque and work are products of force and displacement. How are they different? Do they have the same units?

Short answer

The solution is as follows.

There is simply a magnitude to work, but there is no direction to it.The magnitude and direction of torque are directed in the same direction that a right-handed screw would advance if rotated by the torque

Step-by-step solution

Definition of torque:

The product of force and the perpendicular distance between the point of application of force and the pivot point is defined as torque.

Step 2: torque and work are products of force and displacement will be same or different:

Torque is responsible for the rotational effect. It's a quantity that takes the shape of a vector.

Work is a scalar number that results from the product of force and displacement in the direction of the force.

Torque and work are both the result of force and distance. Torque and work share the same units called $Newton\cdot meter$ or $Joule$ in mathematics.