Sinusoidal Wave Frequency 500 Hz: Pi/3 Rad Apart

[bearhug]

A sinusoidal wave of frequency 500 Hz has a speed of 350 m/s.
(a) How far apart are two points that differ in phase by Pi/3 rad?

I was thinking that I need to use the equation y= Asin(kx-wt+pi/3)

I found the wavelength=0.70m

used this to find k=8.98

solved for w by converting the frequency to the period and using w=2pi/T to get w=3141 but I don't have amplitude.

I figured after plugging everything in and solving for x gives me the distnace apart. Is this the right approach?

 

[Hootenanny]

What is the phase difference between two points that are a whole wavelength apart?

 

[kyle8921]

Yes, your approach is correct. To find the distance between two points that differ in phase by Pi/3 rad, you can use the equation y= Asin(kx-wt+pi/3) and solve for x. The value of x will give you the distance between the two points. You have correctly found the wavelength and the value of k. To find the value of w, you can use the equation w=2pi/T, where T is the period (1/frequency). Once you have the value of w, you can plug it into the equation and solve for x. This will give you the distance between the two points that differ in phase by Pi/3 rad.