# Time-dependent angular acceleration problem

by Ceenaya19
Tags: acceleration, angular, timedependent
 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 = $$\alpha$$ 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 $$\sigma$$ 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 $$\sigma$$ 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......