A concert is held inside a well-insulated hall. The concert hall is a half of a hemispherical shaped dome with the stage at the center of the hemisphere. Within the hall, the sound level is 123 dB. The sound can be heard outside the building because of the open windows, which have a total area of Awindows = 17.0 m². (Assume no sound is transmitted through the walls of the building, and that the sound waves are perpendicular to the windows.) (a) How much sound energy (in J) is radiated in t = 26.0 min? 52907.4 (b) If none of the sound emitted from the windows is absorbed and we assume it radiates uniformly in all directions, at a distance of d = 2.8 km away (which is large compared to the size of the building), determine the sound level in dB. 55.37 X Assume the sound power covers the area of a hemisphere with radius 2.8 km. Find the intensity as a function of power, then use your result to calculate the sound intensity level. dB

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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A concert is held inside a well-insulated hall. The concert hall is a half of a hemispherical shaped dome with the stage at the center of the hemisphere. Within the hall, the
sound level is 123 dB. The sound can be heard outside the building because of the open windows, which have a total area of Awindows = 17.0 m². (Assume no sound is
transmitted through the walls of the building, and that the sound waves are perpendicular to the windows.)
(a) How much sound energy (in J) is radiated in t = 26.0 min?
52907.4
J
(b) If none of the sound emitted from the windows is absorbed and we assume it radiates uniformly in all directions, at a distance of d = 2.8 km away (which is large
compared to the size of the building), determine the sound level in dB.
55.37
X
Assume the sound power covers the area of a hemisphere with radius 2.8 km. Find the intensity as a function of power, then use your result to calculate the sound
intensity level. dB
Transcribed Image Text:A concert is held inside a well-insulated hall. The concert hall is a half of a hemispherical shaped dome with the stage at the center of the hemisphere. Within the hall, the sound level is 123 dB. The sound can be heard outside the building because of the open windows, which have a total area of Awindows = 17.0 m². (Assume no sound is transmitted through the walls of the building, and that the sound waves are perpendicular to the windows.) (a) How much sound energy (in J) is radiated in t = 26.0 min? 52907.4 J (b) If none of the sound emitted from the windows is absorbed and we assume it radiates uniformly in all directions, at a distance of d = 2.8 km away (which is large compared to the size of the building), determine the sound level in dB. 55.37 X Assume the sound power covers the area of a hemisphere with radius 2.8 km. Find the intensity as a function of power, then use your result to calculate the sound intensity level. dB
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