An attraction in an amusement park has guests stand inside the wall of a 16m diameter cylinder that will spin, after it reaches a certain velocity the floor is lowered and the guests are stuck to the cylinder's wall. What is the minimum velocity that the cylinder must reach for this to happen if the coefficient of static friction is 0.30?

An attraction in an amusement park has guests stand inside the wall of a 16m diameter cylinder that will spin, after it reaches a certain velocity the floor is lowered and the guests are stuck to the cylinder's wall. What is the minimum velocity that the cylinder must reach for this to happen if the coefficient of static friction is 0.30?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 6.9CYU: Check Your Understanding A car moving at 96.8 km/h travels around a circular curve of radius 182.9 m...

See similar textbooks

Similar questions

A ride at a carnival has four spokes to which pods are attached that can hold two people. The spokes are each 15 m long and are attached to a central axis. Each spoke has mass 200.0 kg, and the pods each have mass 100.0 kg. If the ride spins at 0.2 rev/s with each pod containing two 50.0-kg children, what is the new spin rate if all the children jump off the ride?
A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity of 3.00 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheels rotation in revolutions per minute that will produce this effect.
If you were to stop a spinning wheel with a constant force, where on the wheel would you apply the force to produce the maximum negative acceleration?
Check Your Understanding A car moving at 96.8 km/h travels around a circular curve of radius 182.9 m on a flat county road. What must be the minimum coefficient of static friction to keep the car from slipping?
A space station is constructed in the shape of a wheel 20 m in diameter, with essentially all of its 5.2×105 kg mass at the rim. Once the station is completed, it is set rotating at a rate that requires an object at the rim to have radial acceleration g , thereby simulating Earth's surface gravity. This is accomplished using two small rockets, each with 130 N thrust, that are mounted on the rim of the station. How long will it take to reach the desired spin rate, and how many revolutions will the station make in this time?
One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 79500 kg each, at the ends of a cable with their centers of mass 54 m apart, rotating around the center point of the cable with a period of 173.2 seconds. If the cable is reeled in so that the the centers of the two pieces are now only 41.58 m apart, what will be the new period? the answer I have been getting has been because I have been using Tf= (rfTi)/ri which was found by using the conservation of angular momentum(inital angular momentum equals final). What have I been doing wrong?
When you take your 1900-kg car out for a spin, you go arounda corner of radius 53 m with a speed of 13 m>s. The coefficient ofstatic friction between the car and the road is 0.88. Assuming yourcar doesn’t skid, what is the force exerted on it by static friction?
A light rod of length 2L is free to rotate in a verticalplane about a frictionless pivot through its center. A particleof mass m1 is attached at one end of the rod, and a mass m2is at the opposite end, where m1 >m2. The system is releasedfrom rest in the vertical position shown in Figure P8.84a, andat some later time, the system is rotating in the position shownin Figure P8.84b. Take the reference point of the gravitationalpotential energy to be at the pivot. (a) Find an expression forthe system’s total mechanical energy in the vertical position.(b) Find an expression for the total mechanical energy in therotated position shown in Figure P8.84b. (c) Using the factthat the mechanical energy of the system is conserved, howwould you determine the angular speed v of the system in therotated position? (d) Find the magnitude of the torque onthe system in the vertical position and in the rotated position. Is the torque constant? Explain what these results implyregarding the angular…
Suppose all the mass of the Earth were compacted into asmall spherical ball. What radius must the sphere have sothat the acceleration due to gravity at the Earth’s newsurface would equal the acceleration due to gravity at thesurface of the Sun?
A model airplane with mass 0.750 kg is tethered by awire so that it flies in a circle 30.0m in radius. The airplaneengine provides a net thrust of 0.800N perpendicular to thetethering wire. (a) Find the torgue the net thrust produces aboutthe centre of the circle. (b) Find the angular acceleration of theairplane when it is in level flight. (c) Find the translationalacceleration of the airplane, and the tangent to its flightpath.
What is the magnitude of angular momentum of JUST the partical circled to the system's mass center?
a vehicle with a mass of 2.5x10^3 kg is driving at a speed of 56 km/h around a level roadway with a curvature radius of 60 meters, just staying on the roadway (i.s., driving at the maximum safe speed for this turn and the tire treads). what is the coefficient of friction between the tires and the road?