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"Barrel of Fun" Carnival Ride, and the relationship between Friction and ω
A ”Barrel of Fun” consists of a large vertical cylinder that spins about its axis fast enough so that any person inside will be held against the wall.
Assume: At an angular speed ω1, an upward frictional force F1 holds a person against the wall without slipping.
What is the friction force F2, if the angular speed is doubled;i.e., ω2 = 2ω1.
This is what has me stumped. I have no idea which equations I should bee looking at!
F=ma
FF= μFN
But all of these are accounting for linear motion, not circular. The rider will be suspended by a static Frictional Force that must counteract the pull of gravity. I have no idea what the relationship is between Force of Friction and Angular Speed.
Homework Statement
A ”Barrel of Fun” consists of a large vertical cylinder that spins about its axis fast enough so that any person inside will be held against the wall.
Assume: At an angular speed ω1, an upward frictional force F1 holds a person against the wall without slipping.
What is the friction force F2, if the angular speed is doubled;i.e., ω2 = 2ω1.
Homework Equations
This is what has me stumped. I have no idea which equations I should bee looking at!
F=ma
FF= μFN
But all of these are accounting for linear motion, not circular. The rider will be suspended by a static Frictional Force that must counteract the pull of gravity. I have no idea what the relationship is between Force of Friction and Angular Speed.
The Attempt at a Solution
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