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=

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Chapter1: Units, Trigonometry. And Vectors
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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=
Transcribed Image Text: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=
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