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Timedependent angular acceleration problem 
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#1
Mar2810, 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...... 


#2
Mar2810, 02:51 PM

P: 8

I still can't get it O_O



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