# Torque r & F two angles

Unless r and F are perpendicular, there are always two angles between their directions that give the same torque for given magnitudes of r and F. Explain why?

Perhaps I cannot visualize the question, but I cannot see how this can be. As the force moves to the perpendicular position the torque increases. Am I missing something?

Related Introductory Physics Homework Help News on Phys.org
Use the definition of torque. If one angle between the p.v and force vector is theta, what about the other?

Edit: I guess this holds only for the magnitude of the torque.

Last edited:
$$\tau = rF \sin \theta$$

$$sin \theta = \sin (\pi - \theta)$$​

I guess I figured that would put the angle outside of between the two angles.