Not sure what you mean by 'k,' but I suggest you become familiar with the general for a wave function:
y(t) = A sin(wt+p)
where A = amplitude, w (omega) = angular velocity in radians/second and p (often written as the Greek letter phi) is the phase shift of the wave. In this case point 2 is phase shifted by and angle of pi/8 from point 1, so therefore it is 1/16 of cycle away from point 1. Hence one answer is that the wavelength is 16 times the distance between the two points; but it may also be 1/16 + k cycles, where k = 1, 2, 3, .... since sin(wt + pi/8) = sin(wti + k + 2 pi) = sin(wt+pi/8 + 4 pi) = ....
The speed of the wave comes from v = fL, where f = frequency in Hertz and L = wavelength. You can calculate frequency from f = w/(2 pi).
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Last edited by ChipB; Jan 16th 2015 at 12:49 PM.
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