Please help! I do not understand at all! Can someone please explain:
Is the relationship between velocity and centripetal force a direct, linear relationship or is it a nonlinear square relationship?

Question

Please help! I do not understand at all! Can someone please explain:
Is the relationship between velocity and centripetal force a direct, linear relationship or is it a nonlinear square relationship?

anonymous · Answer

centripetal force is given by mv^2/r for a mass m moving with speed v in a circle of radius r.
so the magnitude of the force is proportional to the square of the speed.
if you are interested in the relationship between their directions, the velocity is perpendicular to the centripetal force, which points in towards the centre of the circle

anonymous · Answer

Oh thanks!