The drawing shows a graph that represents a transverse wave on a string. The wav

Question

The drawing shows a graph that represents a transverse wave on a string. The wave is moving in the +x direction with a speed of 0.15 m/s. Using the information contained in the graph, write the mathematical expression similar to the equation below for the wave. (Use the following as necessary: x and t. Do not include units in your answer.) y = A sin(2 pi ft - 2 pix/lambda) y = A sin(2 pi ft + 2 pi x/lambda) y = ____________ m 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. __________________ m

Explanation / Answer

12) v = 0.15 m/s

A = 0.01 m

T = 0.2 s

f = 1/T = 1/0.2 = 5 Hz

v = f*lamda

v = lamda/T

0.15 = lamda/0.2

lamda = 0.03 m

y = 0.01(2pi*5t - 2pi*x/0.03)

13) v = 1522 m/s, T = 64 ms

v = f*lamda

f = 1/T

v = lamda/T

1522 = lamda/0.064

lamda = 97.41 m

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