Cycler on a winding and velocity

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SUMMARY

The discussion focuses on calculating the velocity of a cycler navigating a circular path with a radius of 6 meters while slanted at an angle of 75 degrees to the horizontal. The key equations involved are the tension equation T = mv²/R and the frictional force equation Fc = μF_N. The participant correctly identifies that the tension and centrifugal force should be equal, leading to the equation T = Fc. However, they express uncertainty about how to incorporate the angle and radius into their calculations.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Familiarity with the concepts of tension and friction
  • Knowledge of trigonometric functions related to angles
  • Basic algebra for solving equations
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  • Study the relationship between tension and centrifugal force in circular motion
  • Learn how to apply trigonometric functions to resolve forces at angles
  • Explore the concept of friction coefficients in inclined planes
  • Review examples of circular motion problems involving slanted surfaces
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of circular motion and forces acting on objects in inclined positions.

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Homework Statement



A cycler is going through the winding, cycling on a circle of radius 6m and is slanting with alpha=75^ to the horizontal surface. What's his velocity?

Homework Equations



T=\frac{mv^{2}}{R}
Fc=\mu F_{N}

The Attempt at a Solution



We have two forces on the cycler - centrifugal force and friction. They are equal (or at least should be? Though I don't know why...) so we have T=Fc and thus \frac{mv^{2}}{R}=\mu F_{N}. How should I use it, though, if I have only 75^ and the radius given?
 
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