1E-7. A large underwater sound transducer in a freshwater lake generates very intense plane waves of sinusoidal waveform in the water. If during the negative half cycle the total pressure, that is, ambient plus acoustic pressure, becomes zero, cavitation (the production of bubbles) may occur. Recall that the ambient pressure at a depth h in the water is Po pogh, where po is the density of the water, g is the acceleration of gravity, and po is the atmospheric pressure above the water surface. The transducer is operated at a depth of 10 m. (a) What is the maximum acoustic intensity that may be achieved with- out running the risk of cavitation? (b) What SPL (re 1 µPa) corresponds to this intensity? Note: The actual cavitation threshold depends on other factors besides ambient pressure, for example, frequency and dissolved gas content of the water. Ignore the other factors in working this problem.

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1E-7. A large underwater sound transducer in a freshwater lake generates very
intense plane waves of sinusoidal waveform in the water. If during the
negative half cycle the total pressure, that is, ambient plus acoustic
pressure, becomes zero, cavitation (the production of bubbles) may
occur. Recall that the ambient pressure at a depth h in the water is
Po pogh, where po is the density of the water, g is the acceleration of
gravity, and po is the atmospheric pressure above the water surface. The
transducer is operated at a depth of 10 m.
(a) What is the maximum acoustic intensity that may be achieved with-
out running the risk of cavitation?
(b) What SPL (re 1 µPa) corresponds to this intensity?
Note: The actual cavitation threshold depends on other factors besides
ambient pressure, for example, frequency and dissolved gas content of
the water. Ignore the other factors in working this problem.
Transcribed Image Text:1E-7. A large underwater sound transducer in a freshwater lake generates very intense plane waves of sinusoidal waveform in the water. If during the negative half cycle the total pressure, that is, ambient plus acoustic pressure, becomes zero, cavitation (the production of bubbles) may occur. Recall that the ambient pressure at a depth h in the water is Po pogh, where po is the density of the water, g is the acceleration of gravity, and po is the atmospheric pressure above the water surface. The transducer is operated at a depth of 10 m. (a) What is the maximum acoustic intensity that may be achieved with- out running the risk of cavitation? (b) What SPL (re 1 µPa) corresponds to this intensity? Note: The actual cavitation threshold depends on other factors besides ambient pressure, for example, frequency and dissolved gas content of the water. Ignore the other factors in working this problem.
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