PLease show all of your work clearly. I will rate the first one to give the corr

Question

PLease show all of your work clearly. I will rate the first one to give the correct answers to all 4 questions.

1. A wave traveling along the x axis is described mathematically by the equation y = 0.16 sin (8.8t - 0.50x), where y is the displacement (in meters), t is in seconds, and x is in meters. What is the speed of the wave in m/s?

3. For research purposes a sonic    buoy is tethered to the ocean floor and emits an infrasonic pulse of sound (speed = 1522 m/s). The period of this sound is 64 ms. Determine the wavelength of the sound in meters

Explanation / Answer

so we can see that w = 8.8 and k = 0.5

v = w/k = 8.8/0.5 = 17.6 m/s

2)

v = sqrt(T/mu)

v = w/k =25/2 = 12.5

12.5 = sqrt(T/1.8E-2)

T=2.81 N

3)

f = 1/T = 1/64.0E-3

lambda f = v

lambda = v/f = v T =1522*64.0E-3= 97.4 m

4) P = I A = 3.6E-6*2.4E-3= 8.64E-9 W

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