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Finding minimum angular speed?? in rpms
In an old-fashioned amusement park ride, passengers stand inside a 5.5-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 0.61 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. A sign next to the entrance says "No children under 30 kg allowed."
What is the minimum angular speed, in rpm, for which the ride is safe?
I know i need an equation that relates mass and the coefficiant frictions to the angular speed but I am having no such luck
any feedback or help would be greatly appreciated
In an old-fashioned amusement park ride, passengers stand inside a 5.5-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 0.61 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. A sign next to the entrance says "No children under 30 kg allowed."
What is the minimum angular speed, in rpm, for which the ride is safe?
I know i need an equation that relates mass and the coefficiant frictions to the angular speed but I am having no such luck
any feedback or help would be greatly appreciated