Concept explainers
In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all goes well, the passengers will “stick” to the wall and not slide. Clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. What is the minimum rotational frequency, in rpm, for which the ride is safe?
Learn your wayIncludes step-by-step video
Chapter 6 Solutions
COLLEGE PHYSICS - LCPO
Additional Science Textbook Solutions
College Physics
University Physics with Modern Physics (14th Edition)
Physics: Principles with Applications
Physics for Scientists and Engineers with Modern Physics
Introduction to Electrodynamics
University Physics Volume 1
- In an old-fashioned amusement park ride, passengers stand inside a 4.50 m diameter hollow steel cylinder with the backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a coefficient of static coefficient of friction against steel in the range of 0.540 to 1.0 and a kinetic coefficient in the range 0.380 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed in rpm (do not enter units) for which the ride is safe? Assume that the local acceleration due to gravity is -9.80 m/s2.arrow_forwardIn an old-fashioned amusement park ride, passengers stand inside a 3.90 m diameter hollow steel cylinder with the backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a coefficient of static coefficient of friction against steel in the range of 0.690 to 1.0 and a kinetic coefficient in the range 0.480 to 0.70. A sign next to the entrance says "No children under 30 kg allowed." What is the minimum angular speed in rpm (do not enter units) for which the ride is safe? Assume that the local acceleration due to gravity is -9.80 m/s². Submit Answer Tries 0/10arrow_forwardA 1.09 kg block is placed at one end of a wooden plank that is 2.02 m long. The plank is slowly tilted. M (a) The block starts to slide when the angle reaches 16 degrees. What is the coefficient of static friction between the block and the ramp? (b) The coefficient of kinetic friction between the block and the ramp is about 0.20. At what rate will the block accelerate down the plank if it is tilted at 16 μκ degrees?arrow_forward
- Someone is dancing on a revolving dance floor. The floor completes 3 revolutions every 5 minutes and the person is 3.75 m from the center of the dance floor. What is the minimum coefficient of static friction that can exist between the dance floor and the persons shoes?arrow_forwardA 4.00 kg box sits atop a 10.0 kg box on a horizontal table. The coefficient of kinetic friction between the two boxes and the lower box and table is 0.600, while the coefficient of static frction between these same surfaces is 0.800. A horizontal pull of 150.0 N to the right is exerted on the lower box, and the boxes move together. What is the friction force on the upper box?arrow_forwardA 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of μs = 0.70 and μk = 0.50. The turntable very slowly speeds up. What is the frequency of the rotation of the turntable expressed in revolutions per minute when the coin slides off? Express your answer in revolutions per minute.arrow_forward
- An early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship. When the craft was stationary, the tension in the cable was 6500 N. When the craft was lowered or raised at a steady rate, the motion through the water added an 1800 N drag force. What was the tension in the cable when the craft was being lowered to the seafloor?arrow_forwardAn engineer is working on determining the speed limit for a curved stretch of road. She knows the coefficient of friction between the wheels and the road is 0.75 when the road is dry and 0.4 when the road is wet. She also knows that the mass of the vehicle does not matter, but completes her calculations for a 700kg car. In order to set a speed limit that is safe under any conditions, should she perform her calculations with the coefficient of friction for wet or dry pavement? wet Answer the following questions for the case when the car is traveling at the maximum speed with the road conditions selected above. In this case, what is the car's centripetal acceleration? m/s² In this case, what is the car's speed? m/s mph Could vehicles, obeying a speed limit of 75mph, navigate the curve in both wet and dry conditions? yes Reference 1 2 350m 3 4 5 6 7arrow_forwardA Wall of Death is a carnival show featuring a motorcyclist rides along the vertical wall of the cylinder and performs various stunts while doing so. Given that the radius of the cylinder is 7 m and the static coefficient of friction is 0.8, what is the minimum speed in m/s2 that the motorcyclist must do to prevent the motorcycle to slip from the wall?arrow_forward
- A pine sphere (??pine = 0.545 g/cm3) with a radius of 10.0 cm is connected to a largeiron anchor with a string. Both objects are tossed into a freshwater lake.After a bit of time has passed, what is the tension in the string?arrow_forwardA book of mass 7 kg rests on a plank. You tilt one end of the plank and slowly increase the angle of the tilt. The coefficient of static friction between the book and the plank is 0.30. What is the maximum angle of tilt for which the book will remain stationary and not slide down the plank?arrow_forwardYou are sitting on the edge of a horizontal disk (for example, a playground merry-go-round) that has radius 3.00 mm and is rotating at a constant rate about a vertical axis. The coefficient of static friction between you and the surface of the disk is 0.430. a) What is the minimum time for one revolution of the disk if you are not to slide off? b) Your friend's weight is half yours. If the coefficient of static friction for him is the same as for you, what is the minimum time for one revolution if he is not to slide off?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning