2. Determine the force which sound wave exerts on a human eardrum in case when sound intensity is equal to the threshold of hearing I, =10-2 w/m? Suppose, that average area of human eardrum is A = 66 x 10-6 m. In physics, sound is a vibration that propagates as a typically audible mechanical wave of pressure and displacement, through a medium such as air or water. In physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can hear sound waves with frequencies between about 20 Hz and 20 kHz. Other animals have different hearing ranges. Constants Speed of sound in air: v = 340 m/sec; Speed of sound in water: v = 1400 m/sec; Density of air: p = 1.29 kg/m'; Density of water: p = 1000 kg/m' Eartrum of a A heton 1. Frequency f (Hz) of sound Campren f = here T is period of sound wave Relationship between circular frequency, period and frequency 2. wo == 2nf, here T is period (sec), wo is circular frequency (rad/sec), f is frequency of sound (Hz). 3. Wavelength of sound 2 (m): 2 = Tv = . here T is period (sec); v is speed of sound (m/sec), f is frequency of sound (Hz). 4. Intensity of sound wave / (W/m?): 1 = PA'wi y, wo is circular frequency (rad/sec), p is density of the medium in which sound propagates (kg/m'); A is the amplitude of particles vibration in sound wave (m), v is speed of sound (m/sec), wo is circular frequency (rad'sec). lo = 10-12 W/m' is threshold of hearing; Imax = 10 W/m' is threshold of pain. 5. Sound pressure P (Pa): P = here F is force (N) and A is area (m²). p2 6. Relationship between sound intensity and pressure: / = ; 2pu here / is intensity of sound (W/m"), P is sound pressure (P), p is density of the medium in which sound propagates (kg/m³); v is speed of sound (m/sec). 7. Sound level B (dB): ß = 10lg (). here / is intensity of sound (W/m"); Io = 10-12W/m² is threshold of hearing. 8. The resulting intensity for sound wave coming from several sources 1 = 1, + 12 + + In 9. The sound intensity at distance from the source 1, and I, 4яr 4лr

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2. Determine the force which sound wave exerts on a human eardrum in case when
sound intensity is equal to the threshold of hearing I, =10-2 w/m? Suppose, that average
area of human eardrum is A = 66 x 10-6 m.
Transcribed Image Text:2. Determine the force which sound wave exerts on a human eardrum in case when sound intensity is equal to the threshold of hearing I, =10-2 w/m? Suppose, that average area of human eardrum is A = 66 x 10-6 m.
In physics, sound is a vibration that propagates as a typically audible mechanical wave of pressure
and displacement, through a medium such as air or water. In physiology and psychology, sound is
the reception of such waves and their perception by the brain. Humans can hear sound waves with
frequencies between about 20 Hz and 20 kHz. Other animals have
different hearing ranges.
Constants
Speed of sound in air: v = 340 m/sec;
Speed of sound in water: v = 1400 m/sec;
Density of air: p = 1.29 kg/m';
Density of water: p = 1000 kg/m'
Eartrum
of a A
heton
1. Frequency f (Hz) of sound
Campren
f =
here T is period of sound wave
Relationship between circular frequency, period and frequency
2.
wo == 2nf,
here T is period (sec), wo is circular frequency (rad/sec), f is frequency of sound (Hz).
3. Wavelength of sound 2 (m): 2 = Tv = .
here T is period (sec); v is speed of sound (m/sec), f is frequency of sound (Hz).
4. Intensity of sound wave / (W/m?): 1 = PA'wi y,
wo is circular frequency (rad/sec),
p is density of the medium in which sound propagates (kg/m'); A is the amplitude of particles
vibration in sound wave (m), v is speed of sound (m/sec), wo is circular frequency (rad'sec).
lo = 10-12 W/m' is threshold of hearing;
Imax = 10 W/m' is threshold of pain.
5. Sound pressure P (Pa): P =
here F is force (N) and A is area (m²).
p2
6. Relationship between sound intensity and pressure: / = ;
2pu
here / is intensity of sound (W/m"), P is sound pressure (P), p is density of the medium in which
sound propagates (kg/m³); v is speed of sound (m/sec).
7. Sound level B (dB): ß = 10lg ().
here / is intensity of sound (W/m"); Io = 10-12W/m² is threshold of hearing.
8. The resulting intensity for sound wave coming from several sources
1 = 1, + 12 + + In
9. The sound intensity at distance from the source
1,
and I,
4яr
4лr
Transcribed Image Text:In physics, sound is a vibration that propagates as a typically audible mechanical wave of pressure and displacement, through a medium such as air or water. In physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can hear sound waves with frequencies between about 20 Hz and 20 kHz. Other animals have different hearing ranges. Constants Speed of sound in air: v = 340 m/sec; Speed of sound in water: v = 1400 m/sec; Density of air: p = 1.29 kg/m'; Density of water: p = 1000 kg/m' Eartrum of a A heton 1. Frequency f (Hz) of sound Campren f = here T is period of sound wave Relationship between circular frequency, period and frequency 2. wo == 2nf, here T is period (sec), wo is circular frequency (rad/sec), f is frequency of sound (Hz). 3. Wavelength of sound 2 (m): 2 = Tv = . here T is period (sec); v is speed of sound (m/sec), f is frequency of sound (Hz). 4. Intensity of sound wave / (W/m?): 1 = PA'wi y, wo is circular frequency (rad/sec), p is density of the medium in which sound propagates (kg/m'); A is the amplitude of particles vibration in sound wave (m), v is speed of sound (m/sec), wo is circular frequency (rad'sec). lo = 10-12 W/m' is threshold of hearing; Imax = 10 W/m' is threshold of pain. 5. Sound pressure P (Pa): P = here F is force (N) and A is area (m²). p2 6. Relationship between sound intensity and pressure: / = ; 2pu here / is intensity of sound (W/m"), P is sound pressure (P), p is density of the medium in which sound propagates (kg/m³); v is speed of sound (m/sec). 7. Sound level B (dB): ß = 10lg (). here / is intensity of sound (W/m"); Io = 10-12W/m² is threshold of hearing. 8. The resulting intensity for sound wave coming from several sources 1 = 1, + 12 + + In 9. The sound intensity at distance from the source 1, and I, 4яr 4лr
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