The figure shows the output from a pressure monitor mounted at a point along the path taken by a sound wave of a single frequency traveling at 346 m/s through air with a uniform density of 2.11 kg/m³. The vertical axis scale is set by Aps = 4.20 mPa. If the displacement function of the wave is written as s(x, t) = sm cos(kx - wt), what are (a) sm, (b) k, and (c) w? The air is then cooled so that its density is 2.15 kg/m³ and the speed of a sound wave through it is 320 m/s. The sound source again emits the sound wave at the same frequency and same pressure amplitude. What now are (d) Sm, (e) k, and (f) w? Ap (mPa) Aps 2.10 t (ms) (a) Number Units nm (b) Number 8.65 Units rad/m (c) Number 2.99E3 Units rad/s (d) Number Units nm (e) Number 9.34 Units rad/m (f) Number 2990 Units rad/s
The figure shows the output from a pressure monitor mounted at a point along the path taken by a sound wave of a single frequency traveling at 346 m/s through air with a uniform density of 2.11 kg/m³. The vertical axis scale is set by Aps = 4.20 mPa. If the displacement function of the wave is written as s(x, t) = sm cos(kx - wt), what are (a) sm, (b) k, and (c) w? The air is then cooled so that its density is 2.15 kg/m³ and the speed of a sound wave through it is 320 m/s. The sound source again emits the sound wave at the same frequency and same pressure amplitude. What now are (d) Sm, (e) k, and (f) w? Ap (mPa) Aps 2.10 t (ms) (a) Number Units nm (b) Number 8.65 Units rad/m (c) Number 2.99E3 Units rad/s (d) Number Units nm (e) Number 9.34 Units rad/m (f) Number 2990 Units rad/s
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
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
Problem 3OQ: In Figure OQ14.3, a sound wave of wavelength 0.8 m divides into two equal parts that recombine to...
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please explain parts a and d.
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Step 1
The time period is the time required to complete oscillation. The time period is the reciprocal of the frequency. Sound waves are longitudinal waves because their oscillations or vibrations are parallel to the displacement of the wave.
The pressure equation is 90 degrees out of phase with the displacement equation. This implies that at points where there is pressure maxima there are displacement minima at that point.
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