AC Circuit Resonance Angular Frequency Calculation

[steveironpump]

Homework Statement

In an L-R-C series circuit, L = 0.270 H and C = 3.80 µF. The voltage amplitude of the source is 120 V.
(a) What is the resonance angular frequency of the circuit?

Homework Equations

X_c = 1/(wC)

X_L = wL

w=angular frequency

The Attempt at a Solution

I couldn't get anywhere. I know that I have to do something with the voltage, but I have no clue

 

[nickjer]

Well you want the magnitude of the impedance to go to 0. And since they are both 180 degrees out of phase with each other and in series, you treat them like vectors and subtract them. Then solve for $$\omega$$.