Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 6, Problem 7P
You are working during your summer break as an amusement park ride operator. The ride you are controlling consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P6.7). The coefficient of static friction between a person of mass m and the wall is μs, and the radius of the cylinder is R. You are rotating the ride with an angular speed ω suggested by your supervisor. (a) Suppose a very heavy person enters the ride. Do you need to increase the angular speed so that this person will not slide down the wall? (b) Suppose someone enters the ride wearing a very slippery satin workout outfit. In this case, do you need to increase the angular speed so that this person will not slide down the wall?
Figure P6.7
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. You are working during your summer break as an amusement park ride operator. The ride you are controlling consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P6.7). The coefficient of static friction between a person of mass m and the wall is ms, and the radius of the cylinder is R. You are rotating the ride with an angular speed v suggested by your supervisor. (a) Suppose a very heavy person enters the ride. Do you need to increase the angular speed so that this person will not slide down the wall? (b) Suppose someone enters the ride wearing a very slip-pery satin workout outfit. In this case, do you need to increase the angular speed so that this person will not slide down the wall?
A common carnival ride, called a gravitron, is a large cylinder in which people stand
against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers
and the people are surprised that they don't slide down. Suppose the radius of the
cylinder is r = 12 m, and the friction between the wall and their clothes is μ = 0.62.
Consider the tangential speed v of the ride's occupants as the cylinder spins.
a) What is the minimum speed, in meters per second, that the cylinder must make
a person move at to ensure they will "stick" to the wall?
Vmin =
b) What is the frequency fin revolutions per minute of the carnival ride when it has
reached the minimum speed to "stick" someone to the wall?
f=
A carnival ride tests your courage by putting you in a situation that would appear dangerous. A person
with a mass of 75.3 kg steps into a cylindrical tube that has a radius of 4.1 m. The tube begins to rotate
around its center axis. As the speed of rotation increases, the passenger feels pushed against the wall of
the tube. When the tube is rotating rapidly, the floor drops out. Luckily, there is a coefficient of static
friction between the passenger and the wall, which keeps them from falling. If the value of that coefficient
is 0.501, then what is the minimum speed that the passenger must be moving at?
Chapter 6 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 6.1 - You are riding on a Ferris wheel that is rotating...Ch. 6.2 - A bead slides at constant speed along a curved...Ch. 6.3 - Consider the passenger in the car making a left...Ch. 6.4 - A basketball and a 2-inch-diameter steel ball,...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - Whenever two Apollo astronauts were on the surface...Ch. 6 - A car initially traveling eastward turns north by...Ch. 6 - A curve in a road forms part of a horizontal...Ch. 6 - In a cyclotron (one type of particle accelerator),...Ch. 6 - Why is the following situation impossible? The...
Ch. 6 - You are working during your summer break as an...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - Prob. 11PCh. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 6 - A person stands on a scale in an elevator. As the...Ch. 6 - Review. A student, along with her backpack on the...Ch. 6 - A small container of water is placed on a...Ch. 6 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 21PCh. 6 - Assume the resistive force acting on a speed...Ch. 6 - You can feel a force of air drag on your hand if...Ch. 6 - A car travels clockwise at constant speed around a...Ch. 6 - A string under a tension of 50.0 N is used to...Ch. 6 - Disturbed by speeding cars outside his workplace,...Ch. 6 - A car of mass m passes over a hump in a road that...Ch. 6 - A childs toy consists of a small wedge that has an...Ch. 6 - A seaplane of total mass m lands on a lake with...Ch. 6 - An object of mass m1 = 4.00 kg is tied to an...Ch. 6 - A ball of mass m = 0.275 kg swings in a vertical...Ch. 6 - Why is the following situation impossible? A...Ch. 6 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - Prob. 37APCh. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Prob. 39APCh. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - Prob. 42APCh. 6 - Review. A piece of putty is initially located at...Ch. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 6 - A 9.00-kg object starting from rest falls through...Ch. 6 - For t 0, an object of mass m experiences no force...Ch. 6 - A golfer tees off from a location precisely at i =...Ch. 6 - A single bead can slide with negligible friction...Ch. 6 - Prob. 49CPCh. 6 - You have a great job working at a major league...
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