Hey guys. So I have this homework exercise where I have to convert the following periodic function in radians into a periodic function in time.
f(θ) = (80/∏2) θ, -∏/2 ≤ θ ≤ ∏/2
(80/∏) - (80/∏2) θ, ∏/2 ≤ θ ≤ 3∏/2
θ = ω0 t
ω0 = 2∏/T
The Attempt at a Solution
After substituting the relevant equations into the original equation and using a bit of logic regarding the periods and time intervals, I got the following function:
(160t)/(∏ * T) , -T/4 ≤ t ≤ T/4
(80T -160)/(∏ * T) t, T/4 ≤ t ≤ 3T/4
However, I don't know if this is the correct input. I would appreciate it if anyone could tell me if my calculations are correct.
Thank you all very much.