[gugagore]

> So the force generated by the torque

Torque is nothing more than "spinny" force. For example, sometimes you will see the term "generalized force" to mean both force and torque, because it doesn't really matter in some contexts. For example, if I have a robot arm that has some linear joints (like that of a 3D printer) and rotational joints (like that of an arm), you can talk about the generalized forces of each joint. Some of those generalized forces are linear (and people call that "force"), and some of them are rotational (and people call that "torque").

They are exactly analogous to (linear) velocity and _angular_ velocity.

When you talk about force _generating_ a torque, the only thing I can understand is how the linear velocity at a point on a disk (say you blow across its surface) _generates_ an angular velocity.