Question

A sine wave trough 10 meters in amplitude is located at x = 3m at t...

A sine wave trough 10 meters in amplitude is located at x = 3m at t = 4s. The wave travels to the left at 47 m / s. If the oscillation frequency of the middle points is 2.1 Hz:
a. What is the equation of the wave?
b. When will the point at x = 2m be at a position y = - 5m, the second time after t = 4s?
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Answer #1

Wave equation can be written as for tavelling to left

where Now for given condition

solving for A we get

A= 12.4

so wave equation

now for x= 2m and y=-5 plug in

solving for t we get

so,

so second after t=4 is

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