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Banked curves

  • Thread starter gmunoz18
  • Start date
29
0
1. Homework Statement

The drawing shows a baggage carousel at an airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle (r = 12.8 m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is 0.760, and the angle in the drawing is 32.6°. How much time is required for your suitcase to go around once?

2. Homework Equations

v=sqrt(R*g*tan(theta))

2*pi*r

v=sqrt(r*friction*9.8)

3. The Attempt at a Solution

2*pi*12.8=80.424 meters

v=sqrt(125.44*tan(32.6)

v=sqrt(80.222)= 8.95 m/s


v=sqrt(8.95*.760*9.8)


this is incorrect, i know it has something to do with the frictional force but im not sure where it goes into play
 
Last edited:

Answers and Replies

Doc Al
Mentor
44,827
1,083
Rather than plugging into a formula that neglects friction, analyze the problem using first principles. Identify the forces acting on the suitcase, draw a free body diagram, and apply Newton's laws.
 

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