college physics (inertia)
posted by eric .
As a result of friction, the angular speed of a wheel changes with time according to
dθ/dt = ω0 *e^-(σ*t)
where ω0 and σ are constants. The angular
speed changes from an initial angular speed of 3.08 rad/s to 1.58 rad/s in 3.92 s.
a)Determine the magnitude of the angular acceleration after 2.39 s. Answer in units of rad/s2.
b)How many revolutions does the wheel make after 1.9 s ?
c) Find the number of revolutions it makes before coming to rest.
help on any of these problems would be thankful