It takes a time t=.025s in order for an oscillator to complete one cycle. What is the angular frequency of the oscillator?

so i got phase= omega t + phase zero

so i got 8Pi/4=.025omega

omega=251.33
Is this right?

The frequency is 1/t = 40 Hz (cyceles per second) and the angular frequency is 2 pi times that, or 251.33 s^-1. Your answer is correct.