(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Problem:

"A cylindrical 4.91 pulley with a radius of 0.338 m is used to lower a 3.80 kg bucket into a well. The bucket starts from rest and falls for 4.06 s. The acceleration of gravity is 9.81 m/s². What is the linear acceleration of the falling bucket? Answer in units of m/s²."

Givens:

[tex]

\\ m_{p}=4.91 kg\\

\\ r=0.338 m\\

\\ m_{p}=3.80 kg\\

\\ v_{i}=0 m/s\\

\\ \Delta t=4.06 s\\

[/tex]

Unknown:

[tex]

\\ a_{t}=?

[/tex]

2. Relevant equations

[tex]

\\ a_{t} = r\alpha\\

\\ \Tau\=\I\alpha = Fd sin \theta\\

\\ I_{cylinder}\=\frac{1}{2} r^2\\

[/tex]

3. The attempt at a solution

[tex]

\\ \tau = F_{g}r = I\alpha\\

\\ m_{b}gr = \frac{1}{2}mr^2\alpha\\

\\ \alpha = \frac{2m_{b}g}{m_{p}r}\\

\\ a_{t} = \frac{2m_{b}g}{m_{p}\\

[/tex]

Now, I thought that was a perfectly logical way to get the answer, but when I submitted it, the answer was wrong. Can anyone tell me what I'm doing wrong here?

Edit:And I seem to be having difficulties putting breaks into my TeX, heh.

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# Homework Help: Rotational Mechanics - Pulley and Bucket

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