(adsbygoogle = window.adsbygoogle || []).push({}); "Barrel of Fun" Carnival Ride, and the relationship between Friction and ω

1. The problem statement, all variables and given/known data

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 ω_{1}, an upward frictional force F_{1}holds a person against the wall without slipping.

What is the friction force F_{2}, if the angular speed is doubled;i.e., ω_{2}= 2ω_{1}.

2. Relevant equations

This is what has me stumped. I have no idea which equations I should bee looking at!

F=ma

F_{F}= μF_{N}

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.

3. The attempt at a solution

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# Barrel of Fun Carnival Ride, and the relationship between Friction and ω

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