Maximizing Circular Motion Experiment Accuracy with Horizontal Tension Force

[jas9333]

Homework Statement

For an experiment involving spinning an eraser horizontally on the end of a string. For the greatest accuracy in this experiment, the tension force on the eraser should be horizontal. In this context, assuming all other variables are constant, what happens to the accuracy as the frequency of the revolution increases?

Homework Equations

The Attempt at a Solution

I think that the accuracy should increase as frequency increases. I know that you have to deal with the angle between the Ft and Ft cos forces. but I am not sure how to prove it

 

[Delphi51]

You could find the formula relating the angle of droop A to the frequency by beginning with a free body force diagram for the object in circular motion. Be sure to show the string at angle A so you get cos(A) and sin(A) in some of the force expressions. F=ma.