Friction, centripetal force, gravity, and velocity

  • #1

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 alot 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
 

Answers and Replies

  • #2
cnh1995
Homework Helper
Gold Member
3,383
1,123
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.
 

Related Threads on Friction, centripetal force, gravity, and velocity

  • Last Post
Replies
9
Views
3K
  • Last Post
Replies
2
Views
1K
Replies
15
Views
550
  • Last Post
Replies
15
Views
25K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
5K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
10
Views
5K
Replies
3
Views
4K
Top