Friction, centripetal force, gravity, and velocity

In summary, Rebecca must reach a minimum speed of at least 8.61 m/s in order to not fall when the floor of the ride drops. This can be determined by setting up an equation using the known values, such as the coefficient of static friction and the radius of the cylinder.
  • #1
katie beisel
22
0

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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  • #2
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 to Friction, centripetal force, gravity, and velocity

1. What is friction?

Friction is a force that opposes the motion of an object when it comes into contact with another object or surface. It occurs due to the roughness of the surfaces and the interlocking of their microscopic irregularities.

2. How does centripetal force affect an object's motion?

Centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. It is responsible for keeping the object in its circular motion and preventing it from flying off in a straight line.

3. What is gravity and how does it work?

Gravity is a force of attraction between two objects with mass. The larger the mass, the stronger the force of gravity. It works by pulling objects towards each other and is responsible for keeping planets in orbit around the sun and objects on Earth's surface.

4. How does velocity affect an object's motion?

Velocity is a measure of the speed and direction of an object's motion. It determines how fast an object is moving and in what direction. The greater the velocity, the greater the object's momentum and the more difficult it is to change its motion.

5. How are friction, centripetal force, gravity, and velocity related?

These forces are all interrelated and play a role in an object's motion. Friction can slow down an object's velocity, while centripetal force keeps it moving in a circular path. Gravity also affects an object's velocity, as the force of gravity can either speed up or slow down an object's motion. These forces work together to determine an object's overall motion and trajectory.

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