Resistance of a light bulb question

[Pepsi24chevy]

Hey guys I am having some trouble with this simple questions:
What is the resistance of a light bulb that uses an average power of 75.0 W when connected to a 60.0 Hz power source having a maximum voltage of 190 V?


(b) What is the resistance of a 120 W bulb?

I tried doing it by (75/190)^2 * (2pi60) but this is not correct.

 

[Astronuc]

One has to apply the equivalent of P = V I = V²/R = I²R for AC, so R = V²/P.

Since it is pure resistance, i.e. no reactance, the voltage and current are in phase.

Think of average and maximum.

 

[Pepsi24chevy]

Ok, do i still have to multiply the 60hz by 2pi? Also, how do i handle it being connected to the power source?

 

[Astronuc]

Have you covered the relationship between Peak Voltage and Current and RMS Voltage and Current?

Refer to this - http://hyperphysics.phy-astr.gsu.edu/hbase/electric/acres.html

 

[Pepsi24chevy]

no but thanks for the link. I think that should of helped me get an idea