A 240v 50hz appliance is rated at 2Kw and has a lag PF of 0.7

Calculate the new PF at 60hz.

Heres what Ive done so far:

Sketched a Power triangle True power (P) = 2000w

Apparent (S)= 2860VA (S= P/PF)

Calculating I

Vs=240v

Apparent (S)=Vs x I

I=S/Vs = 11.92A

Finding Q (Reactive Comp.) by Pythagoras.

b= root (c2-a2)

Q= 2044va

Finding Inductive Reactance

Xl=Vs2/Q = 240squared/2044

Xl=28.18

Total Cct Impedance

Z= Vs/I = 240/11.92= 20.13Ω

Using XL = 2piFL

Transpose to find L

L= 632mH

Cos θ = PF=0.7

Cos-1PF= θ

Θ=45.57degrees

I have tried changing the Freq in the equation 2piFL =Xl giving two new values of Xl but I cant seem to be able to construct a new power triangle with just this info. Having got to this point I am not sure what my next step is any pointers would be of a great help.

Cheers

Rubberfrog