Torque problem involving rolling disk stopped by a force

AI Thread Summary
The discussion centers on a potter's stone disk with a radius of 0.483 m and mass of 101 kg, which is stopped in 6.54 seconds by a force of 103 N applied at the rim. The calculated angular velocity is 7.53 rad/s, and the angular deceleration (alpha) is determined to be 1.15 rad/s². The torque is calculated as 27.13 N-M, leading to a frictional force of 56.17 N. The effective coefficient of kinetic friction is found to be 0.545, but the poster questions the accuracy of this result. The discussion includes references to the moment of inertia and the need for correct calculations regarding torque and friction.
xregina12
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A potter has a stone disk of radius 0.483 m and mass 101 kg rotating at 71.9 rev/min. The potter stops the wheel in 6.54 seconds by applying a wet towel against the rim with a radially inward force of 103 N. Find the effective coefficient of kinetic friction between the whell and the wet towel.
my work
angular velocity= 71.9 x 2 x pi /60seconds=7.53
alpha =7.53 / 6.54=1.15
Torque=alpha x I = 1.15 x (101) x (.483^2) =27.13 N-M
27.13 = torque = F r sin 90
F =27.13/ (0.483)
F =56.17 Newtons = Frictional force
56.2 = u Fn
u=56.2 / (103) ----> 103 is given as the radially inward force, Fn
u=.545

why is this wrong? does anyone know why? thanks
 
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Hi xregina12! :smile:

(have an alpha: α and an omega: ω and a mu: µ and a squared: ² :wink:)
xregina12 said:
A potter has a stone disk of radius 0.483 m and mass 101 kg

Torque=alpha x I = 1.15 x (101) x (.483^2)

I = mr2/2 …

see http://en.wikipedia.org/wiki/List_of_moments_of_inertia :smile:
 
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