An amusement park ride called the Rotor debuted in 1955 in Germany. Passengers stand in the cylindrical drum of the Rotor as it rotates around its axis. Once the Rotor reaches its operating speed, the floor drops but the riders remain pinned against the wall of the cylinder. Suppose the cylinder makes 24.5 rev/min and has a radius of 3.70 m. What is the minimum coefficient of static friction ?sμs between the wall of the cylinder and the backs of the riders?

An amusement park ride called the Rotor debuted in 1955 in Germany. Passengers stand in the cylindrical drum of the Rotor as it rotates around its axis. Once the Rotor reaches its operating speed, the floor drops but the riders remain pinned against the wall of the cylinder. Suppose the cylinder makes 24.5 rev/min and has a radius of 3.70 m. What is the minimum coefficient of static friction ?sμs between the wall of the cylinder and the backs of the riders?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 38PQ

See similar textbooks

Similar questions

A car travels at a constant speed of 25.5 mi/h (11.4 m/s) on a level circular turn of radius 43.0 m, as shown in the bird's-eye view in figure a. What minimum coefficient of static friction, ?s, between the tires and the roadway will allow the car to make the circular turn without sliding?
In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius R = 284 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?
A load of 52 kg is placed on the flatbed of a truck going around a section of flat road corresponding to a circular arc with a radius of 80 m. If the coefficient of static friction between the load and the truck's flatbed is 0.355, what is the maximum speed the truck can have so the load won't slide? a) 28.0 m/s b) 5.33 m/s c) 16.7 m/s d) 22.6 m/s e) 279 m/s
An engineer wants to design a circular racetrack of radius r such that cars of mass m can go around the track at speed V without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle θ of the track, measured from the horizontal. Express the answer in terms of m, r, V, and g. Suppose the race cars actually round the track at a speed w>V. What additional radial force Fr is required to keep the cars on the track at this speed? Express the answer in terms of m, r, V, w, and g.
Which of these equations would you use to calculate the very least speed with which you could swing a bucket of water of mass m in a vertical circle of radius r and still keep the water in the bucket? A) v = √(rg) B) v = √(rg tan θ) C) v = √(mrg) D) v = mgh E) v = mg/r
A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static friction between the tires and road is 0.600. a. What is the maximum safe speed that a car can travel around the curve without skidding? answer in m/s b. Which of the following is the correct free-body diagram of the car when it enters the curve at a speed greater than the maximum safe speed? (OPTIONS ATTACHED) c. When the car enters the curve at a speed greater than the maximum safe speed (speed at which the car won’t skid), which of the following statements are correct? The static frictional force is not large enough to keep the car in a circular path. The car skids toward the outside of the curve. The car skids toward the inside of the curve. The static frictional force is large enough to keep the car in a circular path.
A 2000 kg car rounds a circular turn of radius 24 m. If the road is flat and the coefficient of friction between tires and road is 0.61, how fast can the car go without skidding? (Answer in m/s)
23. A highway has a flat section with a tight level curve of radius 40 m. If the coefficient of static friction between tires and pavement surface is 0.45, what is the maximum speed v at which the car of mass m can negotiate the curve safely – in other words, without the tires slipping? (Hint: the friction force between tires and pavement = coefficient of static friction times normal force) *use g=9.8 a. 18 m/s b. 23 m/s c. 15 m/s d. 13 m/s e. 10 m/s
A small block with mass 0.0300 kgkg slides in a vertical circle of radius 0.425 mm on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point AA, the magnitude of the normal force exerted on the block by the track has magnitude 3.90 NN . In this same revolution, when the block reaches the top of its path, point BB, the magnitude of the normal force exerted on the block has magnitude 0.675 NN . 1)How much work was done on the block by friction during the motion of the block from point AA to point BB?
A small block with mass 0.0400 kg slides in a vertical circle of radius R = 0.500 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the normal force exerted on the block by the track has magnitude 3.95 N. In this same revolution, when the block reaches the top of its path, point B, the normal force exerted on the block has magnitude 0.680 N. How much work is done on the block by friction during the motion of the block from point A to point B?
A small car with mass of 0.800 kg travels at a constant speed on the inside of a track that is a vertical circle with radius 5.00 m. If the normal force exerted by the track on the car when it is at the bottom of the track is 25 N, a) What is the normal force on the car when it is at the (i) top, (ii) rightmost and (iii) leftmost point of the track? b) What is the speed of the car as it travels around the vertical circle?
A race car travels 76 m/s around a circulartrack of radius 159 m What is the magnitude of the resultantforce on the 1600 kg driver and his car ifthe car does not slip?Answer in units of kN.