Centripetal Force HW: Determine Tension & Speed of Chair

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SUMMARY

The discussion focuses on calculating the tension in a cable and the speed of a chair on a swing ride, where the cable length is 15.0 meters and makes a 60-degree angle with the vertical. The mass of the chair and occupant is 179 kg. The relevant equations used include F=(mv^2)/r and F=mg. The forces acting on the chair are analyzed using a free body diagram, considering both vertical and horizontal components of tension.

PREREQUISITES
  • Understanding of centripetal force and its calculation
  • Knowledge of free body diagrams and force decomposition
  • Familiarity with trigonometric functions (sine and cosine)
  • Basic physics concepts related to mass and gravitational force
NEXT STEPS
  • Study the derivation of centripetal force equations in circular motion
  • Learn how to construct and analyze free body diagrams in physics
  • Explore the application of trigonometric functions in physics problems
  • Investigate the relationship between tension, mass, and acceleration in circular motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of tension and centripetal force calculations.

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Homework Statement



A swing ride at a carnival consist of chairs that are swung in a circle by 15.0 meter cable that makes a 60 degree angle with a vertical pole. The mass of the chair and the occupant is 179 kg. Determine the tension in the cable. Find the speed of the chair

Homework Equations


F=(mv^2)/r F=mg


The Attempt at a Solution



So you draw a free body digram and the forces in the y are -179*10 and 179sin30 and the forces in the x is 179cos30. The radius is 15sin60. Thats about all i have.
 
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What about the cable? Does not it act on the chair attached to it?

ehild
 
the cable is the sin and cos 30
 

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