The Intensity of Sound
· The intensity of sound is difficult to measure.
· Decibel (dB) – The unit used to measure intensity of sound.
· Intensity of Sound – The average rate of energy (power) flow per unit area across a surface perpendicular to the direction of propagation.
I = (power)/(area) = (P)/(4pr2)
· The ear can detect sounds with intensity greater than 1 X 10-12 Watts/m2.
· To convert intensity measured in Watts/m2 to decibels, use the following equation.
dB = 10 log(I2/I1)
· With the above equation it should be noted that dB is the decibel difference between the intensity I1 and the intensity I2. The equation basically compares the intensity of two sounds.
· Therefore, if we want to determine the decibel reading of a sound we can hear, then I1 is the minimum intensity we can hear. The formula then becomes:
dB = 10 log(I2/(1 X 10-12))
· 130 dB is the level of sound that is painful to the ear.
· Sounds over 90 dB can cause ear damage if exposure is too long.
· For humans 0 dB = 1 X 10-12 W/m2.
o Therefore,
§ 130 dB is 1 X 1013 times more intense than 0dB.
§ 90 dB is 1 X 109 times more intense than 0dB.
§ 50 dB is 1 X 105 times more intense than 0dB.
§ 40 dB is 1 X 104 times more intense than 0dB.
§ etc.
· The intensity of sound picked up by the ear depends upon
o the power of the source.
o the distance between the source and the person.
· Wave energy is spread over increasing area as distance from the source increases. Therefore, the decibel reading decreases as distance increases.
The Reflection of Sound Waves
· Sound waves reflect as any other waves do. They obey the two laws of reflection.
· Echoes – Sounds that reflect off of a barrier back to the source.
o Can only be heard if the time delay is more than 0.1 s (i.e.: the barrier must be more than 17 m away)
· Reverberation – The apparent prolongation of a sound because the echo occurs less than 0.1 s later. (i.e. the barrier is less than 17 m away).
o some reverberation can enhance sound
o too much reverberation makes music and voice indistinct.
· Reverberation Time – The time required for a sound of standard intensity to die away and become inaudible.
o used to design concert halls.
o Depends upon
§ materials used
§ height of ceiling
§ length of hall
§ type of music
§ audience present
· Well-designed halls have reverberation time of 1 to 2 s for orchestral concerts.
o 2s to 5 s is best for choral
· Anechoic room – rooms that have reverberation times near zero
o used for studying the performance of sound devices such as telephones, microphones and loudspeakers.
Applications of Sound Reflection
· Sound reflects off of barriers, as do other waves.
o Parabolic reflectors reflect sound just as they do light and water waves (Turns wave fronts from spherical to planar and vice versa)
§ Used in band shells – The band is located at the focal point
§ used with microphones – Microphone is placed at the focal point of a parabolic reflector. This enhances sound from wild life and sporting events.
· Echo sounder – uses sound reflection to measure the depth of the sea.
o A transducer converts electrical energy into sound with a frequency of about 30 kHz.
o the signal bounces off the ocean floor and is picked up by a hydrophone (underwater microphone)
o A computer measures the time between the sent signal and the return signal, and calculates the depth.
o The result is a plotted graph.
· Similar equipment is used in the fishing industry to locate schools of fish.
· Similar methods are used by the armed forces to locate submarines.
· Sonar – Sound Navigation and Ranging
o Any of the above and other similar devices.
· Ultrasonic Sonar – A similar device to above used to
o detect flaws in railway tracks and pipelines.
o determine fat/lean ratio in cattle and pigs.
o diagnose brain damage.
o detect breast cancer.
o monitor growth of the unborn child.
· Radar – Radio Detection and Ranging
o Similar to sonar only it uses radio waves (a type of light).
o The time between sent and reflected signal gives the distance to the objects.
o Results are displayed on a cathode ray tube or monitor.
Diffraction and Refraction of Sound waves
· Sound diffracts – bends around corners just like any wave does.
o E.G. You can hear noise in a class down the hall from the room you are in.
· Long wavelengths diffract more than short wavelengths.
· Low frequency (pitch) has a larger wavelength, therefore, these sounds diffract more.
· Sound refracts just as any other wave does. It obeys the law of refraction.
· If sound travels between air masses, of different temperature, then refraction occurs because speed changes.