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Time-dependent angular acceleration problem

by Ceenaya19
Tags: acceleration, angular, timedependent
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Mar28-10, 01:13 PM
P: 8
1. The problem statement, all variables and given/known data

As a result of friction, the angular speed of a
wheel changes with time according to
dθ/dt=ω0*e^-σt ,
where ω0 and σ are constants. The angular
speed changes from an initial angular speed
of 3.96 rad/s to 3.46 rad/s in 3.92 s .
Determine the magnitude of the angular
acceleration after 2.44 s.
Answer in units of rad/s2

2. Relevant equations
dω/dt = [tex]\alpha[/tex]

3. The attempt at a solution
I've tried differentiating the given expression for omega in an attempt to get the angular acceleration, but that didn't work because [tex]\sigma[/tex] is undefined in the problem. I've also tried taking the ln of both sides, but that didn't work either. I tried solving for [tex]\sigma[/tex] in terms of ω and ω0, but that didn't work. Finally, I tried just assuming that the acceleration is just constant from t0 to t, but that also wasn't the right answer. So, I have no idea what to try next......
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Mar28-10, 02:51 PM
P: 8
I still can't get it O_O

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