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

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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 78PQ

See similar textbooks

Similar questions

A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 20 000 Hz? (Assume a body temperature of 37.0C.)
A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?
A sound wave of a frequency of 2.00 kHz is produced by a string oscillating in the n=6 mode. The linear mass density of the string is =0.0065 kg/m and the length of the string is 1.50 m. What is the tension in the string?
The amplitude of a sound wave is measured in terms of its maximum gauge pressure. By what factor does the amplitude of a sound wave increase if the sound intensity level goes up by 40.0 dB?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?
A bat sends of a sound wave 100 kHz and the sound waves travel through air at a speed of v=343 m/s. (a) If the maximum pressure difference is 1.30 Pa, what is a wave function that would model the sound wave, assuming the wave is sinusoidal? (Assume the phase shift is zero.) (b) What are the period and wavelength of the sound wave?
A piano wire has a linear mass density of =4.95103 kg/m. Under what tension must the string be kept to produce waves with a wave speed of 500.00 m/s?
What frequency is received by a mouse just before being dispatched by a hawk flying at it at 25.0 m/s and emitting a screech of frequency 3500 Hz? Take the speed of sound to be 331 m/s.
A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?