Torque is a measure of how much a force acting on an object causes it to rotate about a specific point. It is calculated as the cross product of the displacement vector from the pivot point to where the force is applied and the force vector itself. The effectiveness of torque depends on both the magnitude of the force and the distance from the pivot point, illustrated by the example of a door where the doorknob's position affects ease of opening. Additionally, the direction of the applied force is crucial; if the force is parallel to the displacement vector, it does not produce torque. Understanding these concepts is essential for grasping how torque influences rotational motion.