Calculate speed, given radius and angle.

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SUMMARY

The discussion focuses on calculating the speed of a cart car navigating a turn at the Alamo Cart Dirt Speedway, specifically a turn with a radius of 240 meters and an angle of 30 degrees. The key equation utilized is F = (m)(v^2/r), where F represents the net force, m is the mass of the cart, v is the speed, and r is the radius. The problem assumes no frictional forces acting on the cart, simplifying the analysis to centripetal motion. The solution requires understanding the relationship between the forces acting on the cart and its speed around the curve.

PREREQUISITES
  • Centripetal force concepts
  • Understanding of free body diagrams
  • Basic physics equations related to motion
  • Knowledge of trigonometric functions, particularly sine and cosine for angle calculations
NEXT STEPS
  • Study the derivation of centripetal force equations in physics
  • Learn how to construct and analyze free body diagrams
  • Explore the effects of friction on circular motion
  • Investigate the application of trigonometric functions in physics problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of circular motion and the application of fundamental physics equations in real-world scenarios.

Ienjoytrig...
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Homework Statement


"The third turn at the Alamo Cart Dirt Speedway is tilted at 30* and has a radius of 240m. Determine the speed of the Cart Car going around the turn, assuming the car has no help from friction."

P.S.: This is not a homework or problem worth any credit. Just an extra problem I wanted to try.

Homework Equations


This is what I couldn't figure out.


The Attempt at a Solution


I've got a free body diagram with the normal force and the weight of the object.
 
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you know your doing it for a homework assignment. if you wanted help you shouldn't have lied. and a good place to start would be F=(m)(v^2/r)
 

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