For the pressure wave described in Example, plot the following:
(a)p(x, t) versus x at t =0,
(b)p(x, t) versus t at x = 0.
Be sure to use appropriate scales for x and t so that each of your plots covers at least two cycles.
Sound Wave in Water
An acoustic wave traveling in the x-direction in a fluid (liquid or gas) is characterized by a differential pressurep(.\\ t). The unit for pressure is newton per square meter (N/rn2). Find an expression forp{x, t) for a sinusoidal sound wave traveling in the positive ,v-direction in water, given that the wave frequency is 1 kHz, the velocity of sound in water is 1.5 km/s. the wave amplitude is 10 N/m2, andp(x, I) was observed to be at its maximum value att = 0 andx = 0.25 m. Treat water as a lossless medium.
Solution: According to the general form given by for a wave traveling in the positive „y-direction,
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