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Touchme

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Use conservation of energy to determine the angular speed of the spool shown in Figure P8.36 after the 3.00 kg bucket has fallen 4.65 m, starting from rest. The light string attached to the bucket is wrapped around the spool and does not slip as it unwinds.

I used conservation of energy.

(KEr + KEt + mgh)i = (KEr + KEt + mgh)f

0 + 0 + (3 x 9.8 x 4.65) = [.5(.5Mr^2)w^2] + .5(Mv^2) + 0

136.71 = (.25Mr^2)w^2 + .5Mv^2

136.71 = (.25 x 5 x v^2) + (.5 x 5 x v^2)

v = 7.39

w = 12.324

The ans is not correct, what am i doing wrong?

Thank you for lookin but I manage to see my mistake. I used the wrong mass for the KEt

I used conservation of energy.

(KEr + KEt + mgh)i = (KEr + KEt + mgh)f

0 + 0 + (3 x 9.8 x 4.65) = [.5(.5Mr^2)w^2] + .5(Mv^2) + 0

136.71 = (.25Mr^2)w^2 + .5Mv^2

136.71 = (.25 x 5 x v^2) + (.5 x 5 x v^2)

v = 7.39

w = 12.324

The ans is not correct, what am i doing wrong?

Thank you for lookin but I manage to see my mistake. I used the wrong mass for the KEt

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