Using the following equation: −∇p = ρo (∂v/∂t) For a plane wave in air, what sound pressure level (SPL) corresponds to an RMS acoustic particle velocity of 2.5 × 10−4 m/s? prms = pref x 10(SPL/20)

Using the following equation: −∇p = ρo (∂v/∂t) For a plane wave in air, what sound pressure level (SPL) corresponds to an RMS acoustic particle velocity of 2.5 × 10−4 m/s? prms = pref x 10(SPL/20)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 27P

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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

Using the following equation:

−∇_p = ρ_o(∂v/∂t)

For a plane wave in air, what sound pressure level (SPL) corresponds to an RMS acoustic particle
velocity of 2.5 × 10−4 m/s?

p_rms = p_ref x 10^(SPL/20)

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