Maximizing Circular Motion Experiment Accuracy with Horizontal Tension Force

AI Thread Summary
In a circular motion experiment with an eraser spinning on a string, achieving horizontal tension force is crucial for accuracy. As the frequency of revolution increases, the accuracy is expected to improve, but this relationship must be analyzed through the angle of droop (A) and its impact on the forces involved. A free body force diagram can help illustrate how the angle affects the tension components, specifically the cosine and sine functions. Understanding the dynamics requires applying Newton's second law (F=ma) in the context of circular motion. Accurate calculations and diagrams are essential for proving the relationship between frequency and accuracy.
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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
 
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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.
 

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