RL circuit inductive reactance problem

[skate_nerd]

Homework Statement

There's a coil, resistance R=7Ω, and inductance L=1mH, and its powered by a generator with variable frequency and V_max=10V.
At what frequency is inductive reactance equal to resistance? (when z=R√2)

Homework Equations

z=R√2, z=√(R²+(ωL)²)

The Attempt at a Solution

I plugged in z=R√2 to z=√(R²+(ωL)²), and solved for ω. This ends up just simplifying to ω=R/L, which is 7Ω/0.001H, giving 7000Hz. But my teachers answer is 1110Hz. Am I doing something wrong here? Been stuck on this for a while.

 

[NascentOxygen]

ω has units of radians/second.

 

[skate_nerd]

Okay...isn't that basically the same thing? Frequency in measured in hertz, which is an inverse second. And also my teachers answer specifically says 1110 Hz

 

[NascentOxygen]

What is the equation relating Hz to radians/sec?

 

[skate_nerd]

ahh. ω=2∏f. my bad...i don't know why i didnt recognize that. thanks!