Friction, centripetal force, gravity, and velocity

AI Thread Summary
To determine Rebecca's minimum speed on the amusement park ride, the relationship between centripetal force, gravity, and friction must be analyzed. The ride's rotation creates a centripetal force that keeps her pressed against the wall, while static friction prevents her from sliding down. The coefficient of static friction is given as 0.820, which is crucial for calculating the necessary speed. An attempt using the equation g = v²/r yielded an incorrect speed of 7.79 m/s, while the correct minimum speed is 8.61 m/s. A free body diagram (FBD) is recommended to visualize the forces acting on Rebecca and properly set up the equations.
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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