Angle and Frequency in Horizontal Circular Motion

[jas9333]

Homework Statement

What happens to the angle below the horizontal as frequency increases? (in horizontal circular motion)

Homework Equations

The Attempt at a Solution

I think that it would decrease, because your speed is increasing, but I don't know if I'm right

 

[Delphi51]

Good instinct on the speed, I think, but you really need a formula for the angle so you can tell for sure. I would begin with a free body force diagram for the object in circular motion. Show the string at an angle A so the A will be included in some of the forces so you can get a formula for it using F = ma.