Barrel of Fun - Circular Motion

AI Thread Summary
The discussion revolves around calculating the critical angular speed (ώc) required to keep a person pressed against the wall of a spinning cylinder. Given parameters include a static friction coefficient of 0.66, a mass of 73 kg, a radius of 7 m, and gravitational acceleration of 9.8 m/s². The user initially attempted to use the equation µ = ώ²r/g to find ώc but encountered an error in their calculation. After some reflection, the user resolved their misunderstanding and found the correct approach. The focus is on applying the correct physics equations to determine the critical angular speed effectively.
thaixicedxtea
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Homework Statement


Given: The coefficient of static friction between the person and the wall is 0.66, the mass of the person is 73 kg, the radius of the cylinder is 7 m, and g = 9.8 m/s.
A barrel of fun consists of a large vertical cylinder that spins about the vertical axis. When it spins fast enough, any person inside will be held up against the wall.
Find ώc, the critical angular speed below which a person will slide down the wall of the cylinder. Answer in units of rad/s.




Homework Equations


Ac = V^2.r or ώ^2=Ac
µ = ώ^2r/g





The Attempt at a Solution


So I used µ = ώ^2r/g and solved for ώ but it was wrong...
That's basically it.
What did I do wrong?
 
Last edited:
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nvm... got it...
 
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