**48. In an automatic clothes dryer, a hollow cylinder moves the clothes on a vertical circle (radius r = 0.32 m), as the drawing shows. The appliance is designed so that the clothes tumble gently as they dry. This means that when a piece of clothing reaches an angle of q above the horizontal, it loses contact with the wall of the cylinder and falls onto the clothes below. How many revolutions per second should the cylinder make in order that the clothes lose contact with the wall when q = 70.0°?

 

Free Body Diagram of a piece of clothing at angle q, before it falls

 

Sum of the forces radially

 

Lose contact means N-> 0

Solve for v

 

 

Remember rev/time = 1/T

 

 

 

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This page last updated on January 11, 2020