Barrel of Fun - Circular Motion

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SUMMARY

The discussion focuses on calculating the critical angular speed (ώc) required to keep a person against the wall of a spinning cylinder, given specific parameters: a coefficient of static friction of 0.66, a mass of 73 kg, a radius of 7 m, and gravitational acceleration (g) of 9.8 m/s². The equation used is µ = ώ²r/g, which relates the coefficient of friction to angular speed and radius. The user initially miscalculated the angular speed but later corrected their approach. The correct calculation involves rearranging the equation to solve for ώc accurately.

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  • Understanding of circular motion dynamics
  • Familiarity with the concepts of static friction
  • Basic knowledge of angular velocity and acceleration
  • Ability to manipulate algebraic equations
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples of static friction in action.

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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:
Physics news on Phys.org
nvm... got it...
 

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