- #1
angel120
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Homework Statement
A wheel (mass 9.6 kg, radius 0.855 m) in the shape of a disk is rotating at 81.9 rpm when a tool is pressed against the edge of the wheel, slowing it down at a constant rate to 48 rpm in 3.81 seconds. Find:
a) the magnitude of the torque exerted by the tool on the wheel
b) the magnitude of the change in the angular momentum of the wheel during the time the wheel was slowing down
c) the magnitude of the tangential acceleration of the wheel as it slowed down
d) the magnitude of the radial acceleration of a point on the edge of the wheel at the end of the 3.81 seconds
Homework Equations
I =0.5mr^2 = 0.5(9.6)(0.855^2) = 3.51
omega initial = rpm(initial) * 2pi = 514.59
omega final = rpm(final) * 2pi = 301.59
alpha = change in omega / change in time = -55.91
The Attempt at a Solution
(A) tau = I alpha = -196.24
(B) L final = I omega(final) = 1806.211
L initial = I omega(initial) = 1058.581
change in L = -747.63
(C) a(tan) = r alpha = -47.8
(D) a(rad) = r (omega^2) = 77,767.83
These were the formulas the professor gave us, then he threw us with a question like this. The questions are on WebAssign, so I already know these four solutions are wrong. I still have a few chances before I'm locked out of the questions, but i cannot figure out for the life of me how to solve them.