The displacement of the wave traveling in + x direction is: Y(x, t) = 0.35 (m) Sin (6x- 30t); where x is in meter and t is in second.
If the wave reaches its maximum displacement after 0.04 sec,
what is the value of x corresponding to y (max).
The Attempt at a Solution
Well I know that with a "standard" sin curve, it reaches a maximum when x=pi/2. However, doesn't this particular displacement equation Y(x, t) = 0.35 (m) Sin (6x- 30t) have a horizontal compression (ie. indicated by what's in the brackets, 6x-30t) so that it's maximum (ie. max displacement) wouldn't occur at 90 degrees on the x axis?
The answer key says that sin is at a maximum when x=pi/2
So pi/2 = 6x-30(0.04)