70 Decibels Homework Chart


Here are some interesting numbers, collected from a variety of sources, that help one to understand the volume levels of various sources and how they can affect our hearing.

 

Environmental Noise

Weakest sound heard0dB
Whisper Quiet Library at 6'30dB
Normal conversation at 3'60-65dB
Telephone dial tone80dB
City Traffic (inside car)85dB
Train whistle at 500', Truck Traffic90dB
Jackhammer at 50'95dB
Subway train at 200'95dB
Level at which sustained exposure may result in hearing loss90 - 95dB
Hand Drill98dB
Power mower at 3'107dB
Snowmobile, Motorcycle100dB
Power saw at 3'110dB
Sandblasting, Loud Rock Concert115dB
Pain begins125dB
Pneumatic riveter at 4'125dB
Even short term exposure can cause permanent damage - Loudest recommended exposure WITH hearing protection140dB
Jet engine at 100'140dB
12 Gauge Shotgun Blast165dB
Death of hearing tissue180dB
Loudest sound possible194dB

 

OSHA Daily Permissible Noise Level Exposure
Hours per daySound level
890dB
692dB
495dB
397dB
2100dB
1.5102dB
1105dB
.5110dB
.25 or less115dB

 

NIOSH Daily Permissible Noise Level Exposure
Hours per daySound level
885dBA
686dBA
488dBA
389dBA
290dBA
1.592dBA
194dBA
.597dBA
.25 or less100dBA
0112dBA

 

Perceptions of Increases in Decibel Level
Imperceptible Change1dB
 Barely Perceptible Change3dB
Clearly Noticeable Change5dB
About Twice as Loud10dB
About Four Times as Loud20dB

 

Sound Levels of Music
Normal piano practice60 -70dB
Fortissimo Singer, 3'70dB
Chamber music, small auditorium75 - 85dB
Piano Fortissimo84 - 103dB
Violin82 - 92dB
Cello85 -111dB
Oboe95-112dB
Flute 92 -103dB
Piccolo90 -106dB
Clarinet85 - 114dB
French horn90 - 106dB
Trombone85 - 114dB
Tympani & bass drum106dB
Walkman on 5/1094dB
Symphonic music peak120 - 137dB
Amplifier, rock, 4-6'120dB
Rock music peak150dB

 

NOTES:

  • One-third of the total power of a 75-piece orchestra comes from the bass drum.
  • High frequency sounds of 2 - 4,000 Hz are the most damaging. The uppermost octave of the piccolo is 2,048 - 4,096 Hz.
  • Aging causes gradual hearing loss, mostly in the high frequencies.
  • Speech reception is not seriously impaired until there is about 30 dB loss; by that time severe damage may have occurred.
  • Hypertension and various psychological difficulties can be related to noise exposure.
  • The incidence of hearing loss in classical musicians has been estimated at 4  - 43%, in rock musicians 13 - 30%.
  • Recent NIOSH studies of sound levels from weapons fires have shown that they may range from a low of 144 dB SPL for small caliber weapons such as a 0.22 caliber rifle to as high as a 172 dB SPL for a 0.357 caliber revolver. Double ear protection is recommended for shooters, combining soft, insertable ear plugs and external ear muffs.


Statistics for the Decibel (Loudness) Comparison Chart were taken from a study by Marshall Chasin, M.Sc., Aud(C), FAAA, Centre for Human Performance & Health, Ontario, Canada. There were some conflicting readings and, in many cases, authors did not specify at what distance the readings were taken or what the musician was actually playing. In general, when there were several readings, the higher one was chosen.


ADDITIONAL RESOURCES -

The National Institute for Occupational Safety and Health (NIOSH)

American Tinnitus Association – Information and help for those with tinnitus

Hear Tomorrow – The Hearing Conservation Workshop

H.E.A.R. – Hearing Education and Awareness for Rockers

American Tinnitus Association – for musicians and music lovers

Turn It to the Left – from the American Academy of Audiology

Listen to Your Buds – from the American Speech-Language-Hearing Association

Binge Listening: Is exposure to leisure noise causing hearing loss in young Australians? [pdf] – report from Australian Hearing, National Acoustic Laboratories

Hearing Aids and Music: Interview with Marshall Chasin, AuD – from the American Academy of Audiology

Safe Listening Resources – from the National Hearing Conservation Association

OSHA Noise and Hearing Conservation - Occupational Health and Safety Administration

Sound waves are introduced into a medium by the vibration of an object. For example, a vibrating guitar string forces surrounding air molecules to be compressed and expanded, creating a pressure disturbance consisting of an alternating pattern of compressions and rarefactions. The disturbance then travels from particle to particle through the medium, transporting energy as it moves. The energy which is carried by the disturbance was originally imparted to the medium by the vibrating string. The amount of energy which is transferred to the medium is dependent upon the amplitude of vibrations of the guitar string. If more energy is put into the plucking of the string (that is, more work is done to displace the string a greater amount from its rest position), then the string vibrates with a greater amplitude. The greater amplitude of vibration of the guitar string thus imparts more energy to the medium, causing air particles to be displaced a greater distance from their rest position. Subsequently, the amplitude of vibration of the particles of the medium is increased, corresponding to an increased amount of energy being carried by the particles. This relationship between energy and amplitude was discussed in more detail in a previous unit.

The amount of energy which is transported past a given area of the medium per unit of time is known as the of the sound wave. The greater the amplitude of vibrations of the particles of the medium, the greater the rate at which energy is transported through it, and the more intense that the sound wave is. Intensity is the energy/time/area; and since the energy/time ratio is equivalent to the quantity power, intensity is simply the power/area.

Typical units for expressing the intensity of a sound wave are Watts/meter2.

As a sound wave carries its energy through a two-dimensional or three-dimensional medium, the intensity of the sound wave decreases with increasing distance from the source. The decrease in intensity with increasing distance is explained by the fact that the wave is spreading out over a circular (2 dimensions) or spherical (3 dimensions) surface and thus the energy of the sound wave is being distributed over a greater surface area. The diagram at the right shows that the sound wave in a 2-dimensional medium is spreading out in space over a circular pattern. Since energy is conserved and the area through which this energy is transported is increasing, the power (being a quantity which is measured on a per area basis) must decrease. The mathematical relationship between intensity and distance is sometimes referred to as an . The intensity varies inversely with the square of the distance from the source. So if the distance from the source is doubled (increased by a factor of 2), then the intensity is quartered (decreased by a factor of 4). Similarly, if the distance from the source is quadrupled, then the intensity is decreased by a factor of 16. Applied to the diagram at the right, the intensity at point B is one-fourth the intensity as point A and the intensity at point C is one-sixteenth the intensity at point A. Since the intensity-distance relationship is an inverse relationship, an increase in one quantity corresponds to a decrease in the other quantity. And since the intensity-distance relationship is an inverse square relationship, whatever factor by which the distance is increased, the intensity is decreased by a factor equal to the square of the distance change factor. The sample data in the table below illustrate the inverse square relationship between power and distance.

 

Humans are equipped with very sensitive ears capable of detecting sound waves of extremely low intensity. The faintest sound which the typical human ear can detect has an intensity of 1*10-12 W/m2. This intensity corresponds to a pressure wave in which a compression of the particles of the medium increases the air pressure in that compressional region by a mere 0.3 billionths of an atmosphere. A sound with an intensity of 1*10-12 W/m2 corresponds to a sound which will displace particles of air by a mere one-billionth of a centimeter. The human ear can detect such a sound. WOW! This faintest sound which a human ear can detect is known as the . The most intense sound which the ear can safely detect without suffering any physical damage is more than one billion times more intense than the threshold of hearing.

Since the range of intensities which the human ear can detect is so large, the scale which is frequently used by physicists to measure intensity is a scale based on multiples of 10. This type of scale is sometimes referred to as a logarithmic scale. The scale for measuring intensity is the . The threshold of hearing is assigned a sound level of 0 decibels (abbreviated 0 dB); this sound corresponds to an intensity of 1*10-12 W/m2. A sound which is 10 times more intense ( 1*10-11 W/m2) is assigned a sound level of 10 dB. A sound which is 10*10 or 100 times more intense ( 1*10-10 W/m2) is assigned a sound level of 20 db. A sound which is 10*10*10 or 1000 times more intense ( 1*10-9 W/m2) is assigned a sound level of 30 db. A sound which is 10*10*10*10 or 10000 times more intense ( 1*10-8 W/m2) is assigned a sound level of 40 db. Observe that this scale is based on powers or multiples of 10. If one sound is 10x times more intense than another sound, then it has a sound level which is 10*x more decibels than the less intense sound. The table below lists some common sounds with an estimate of their intensity and decibel level.

 

While the intensity of a sound is a very objective quantity which can be measured with sensitive instrumentation, the of a sound is more of a subjective response which will vary with a number of factors. The same sound will not be perceived to have the same loudness to all individuals. Age is one factor which effects the human ear's response to a sound. Quite obviously, your grandparents do not hear like they used to. The same intensity sound would not be perceived to have the same loudness to them as it would to you. Furthermore, two sounds with the same intensity but different frequencies will not be perceived to have the same loudness. Because of the human ear's tendency to amplify sounds having frequencies in the range from 1000 Hz to 5000 Hz, sounds with these intensities seem louder to the human ear. Despite the distinction between intensity and loudness, it is safe to state that the more intense sounds will be perceived to be the loudest sounds.

 

1. A mosquito's buzz is often rated with a decibel rating of 40 dB. Normal conversation is often rated at 60 dB. How many times more intense is normal conversation compared to a mosquito's buzz?

a. 2

b. 20

c. 100

d. 200

e. 400

 

2. The table at the right represents the decibel level for several sound sources. Use the table to make comparisons of the intensities of the following sounds.

How many times more intense is the front row of a Smashin' Pumpkins concert than ...

a. ... the 15th row of the same concert?

b. ... the average factory?

c. ... normal speech?

d. ... the library after school?

e. ... the sound which most humans can just barely hear?

 

 

3. On a good night, the front row of the Twisted Sister concert would surely result in a 120 dB sound level. An IPod produces 100 dB. How many IPods would be needed to produce the same intensity as the front row of the Twisted Sister concert?

 

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