Friction, centripetal force, gravity, and velocity

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SUMMARY

The discussion focuses on calculating the minimum speed required for Rebecca to remain pressed against the wall of a rotating cylinder ride at an amusement park. The radius of the cylinder is 6.20 m, and the coefficient of static friction between Rebecca's clothing and the wall is 0.820. The correct minimum speed, calculated using the centripetal force equation and considering gravitational force, is determined to be 8.61 m/s. An essential step in solving the problem involves drawing a free body diagram (FBD) to visualize the forces acting on Rebecca.

PREREQUISITES
  • Understanding of centripetal force and its relation to velocity
  • Knowledge of static friction and its coefficient
  • Ability to draw and interpret free body diagrams (FBD)
  • Familiarity with basic physics equations involving gravity and motion
NEXT STEPS
  • Study the principles of centripetal acceleration and its formula: a = v²/r
  • Learn how to calculate forces using free body diagrams (FBD)
  • Explore the effects of static friction in circular motion scenarios
  • Review the relationship between velocity, radius, and gravitational force in rotational systems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of circular motion and the forces involved in amusement park rides.

katie beisel
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Homework Statement


Rebecca goes on a popular ride at an amusement park that involves a cylinder rotating on a vertical axis, with a radius of 6.20 m. Rebecca stands inside, with her back against the wall of the cylinder. The ride rotates and presses Rebecca against the wall of the cylinder, and when she reaches a speed v, the floor of the ride drops so that she can no longer stand on it. The coefficient of static friction between the wall and Rebecca's clothing is 0.820. What should Rebecca's minimum speed v be when the floor is lowered, so that she does not fall?

Homework Equations




The Attempt at a Solution


I've tried a lot of different equations but none of them give me the right answer
g = v2/r
9.8 = v2/6.2
60.76 = v2
v = 7.79
the correct answer is 8.61
 
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Draw an FBD showing all the forces acting on Rebecca's body. That way you can set up an equation with all the known quantities.
 

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