Centripetal Force HW: Determine Tension & Speed of Chair

AI Thread Summary
To determine the tension in the cable and the speed of the chair on the swing ride, a free body diagram is essential. The forces acting on the chair include gravitational force and the tension from the cable, which can be resolved into components using sine and cosine functions. The radius of the circular motion is calculated as 15 sin(60 degrees). The discussion highlights the importance of considering both vertical and horizontal forces in the analysis. Ultimately, understanding these forces is crucial for solving the problem accurately.
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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 verticle 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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