"What is the phase difference of a progressive wave [y=0.5sin(2πx-60t] with a phase shift from (-2,0)to(1.5,0)"?
2 answers
I dont speak smarty pants
How long is the wave ?
Well say for example at t = 0
then at x = 0 you have y = 0.5 sin 0 = 0
at x = 1/2 you have y = 0.5 sin pi
at x = 1you have y = 0.5 sin 2 pi = 0
so when x changed 1, our wave we went a full cycle
wavelength = 2 pi
now
what fraction of a wavelength are we talking about
- 2 to + 1.5 = 3.5
3.5 / 1 = 3.5
so we went 3 1/2 wavelengths
that is three cycles + half a cycle
that is 6 pi + pi = 7 pi in radians
Well say for example at t = 0
then at x = 0 you have y = 0.5 sin 0 = 0
at x = 1/2 you have y = 0.5 sin pi
at x = 1you have y = 0.5 sin 2 pi = 0
so when x changed 1, our wave we went a full cycle
wavelength = 2 pi
now
what fraction of a wavelength are we talking about
- 2 to + 1.5 = 3.5
3.5 / 1 = 3.5
so we went 3 1/2 wavelengths
that is three cycles + half a cycle
that is 6 pi + pi = 7 pi in radians