PhysicsPlease check
posted by Joey .
I posted this question this morning but I'm not sure of the response Damon provided.
If you were in a rotor style ride and the riders accelerate until the speed of ride is reached if the radius of the cylinder is 5.0m and the coefficient of friction between clothes and wall is 0.5, how do you find minimum speed you would need to stick to the wall of the ride? Is he saying that I take 2*5(r) *9.8(g)? If not, please explain.Thank you
PhysicsPlease help with formula  Damon, Tuesday, December 7, 2010 at 11:11am
you need a centripetal acceleration equal to 2g if the mu is 1/2
Force down = m g
friction force up = mu m v^2/r
g = mu v^2/r
v^2/r = g/mu = 2 g
v^2 = 2 r g

Is this correct? I published something else earlierthat has to be wrong but I think this is correct.
Force friction balances weight
Force friction comes from force normal to create centripetal force
mv^2/r = Force normal
Force friction = mu x Force normal = mg
mu x mv^2/r = mg
9.8/05 = 19.6 m/s^2
19.6/5=3.92
sqrt 3.92 = 1.98 rads/s
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