Starting from rest at t = 0s, a wheel undergoes a constant angular acceleration. When t = 3.9s, the angular velocity of the wheel is 6.9 rad/s. The acceleration continues until t = 19s, when the acceleration abruptly changes to 0 rad/s^2. Through what angle does the wheel rotate in the interval t= 0s to t= 43s?
ω = ωo + αt
θ = ωot + (1/2)αt^2
θ = 1/2(ωo +ω)t
The Attempt at a Solution
First I found the the angular acceleration using the initial angular velocity. That much I'm sure is right, the rest is where I am having difficulty. I know you have to find theta for each of the different time intervals, but I'm not sure I using the right equations and thus getting the right answers. Anyone willing to help?