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Can you handle the pressure!!


RIGID113

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To get a feeling for decibels, look at the table below which gives values for the

sound pressure levels of common sounds in our environment. Also shown are the

corresponding sound pressures and sound intensities.

From these you can see that the decibel scale gives numbers in a much more

manageable range. Sound pressure levels are measured without weighting filters.

The values are averaged and can differ about ±10 dB. With sound pressure is

always meant the effective value (RMS) of the sound pressure, without extra

announcement. The amplitude of the sound pressure means the peak value.

The ear is a sound pressure receiver, or a sound pressure sensor, i.e. the

ear-drums are moved by the sound pressure, a sound field quantity. When

listening, forget the sound intensity as energy quantity. The perceived sound

consists of periodic pressure fluctuations around a stationary mean (equal

atmospheric pressure).

This is the change of sound pressure, which is measured in pascal (Pa) = 1 N/m2

= 1 J / m3 = 1 kg / (m·s2), usually as RMS value.

Table of sound levels L and corresponding

sound pressure and sound intensity

Examples

Sound Pressure

Level Lp dBSPL

Sound Pressure p

N/m2 = Pa

Sound Intensity I

W/m2

Jet aircraft, 50 m away

140

200

100

Threshold of pain

130

63.2

10

Threshold of discomfort

120

20

1

Chainsaw, 1 m distance

110

6.3

0.1

Disco, 1 m from speaker

100

2

0.01

Diesel truck, 10 m away

90

0.63

0.001

Kerbside of busy road, 5 m

80

0.2

0.0001

Vacuum cleaner, distance 1 m

70

0.063

0.00001

Conversational speech, 1 m

60

0.02

0.000001

Average home

50

0.0063

0.0000001

Quiet library

40

0.002

0.00000001

Quiet bedroom at night

30

0.00063

0.000000001

Background in TV studio

20

0.0002

0.0000000001

Rustling leaf

10

0.000063

0.00000000001

Threshold of hearing

0

0.00002

0.000000000001

The sound level depends highly on the distance between the sound source and

the place of measurement.

The only given sound pressure level Lp in dB without the given distance r to the

sound source is really useless. Unfortunately, that error happens quite often.

The reference sound pressure level for 0 dBSPL is the sound pressure

p0 = 20 µPa = 2 × 10-5 Pa. That is the threshold of hearing.

(The reference sound intensity is I0 = 10-12 W/m2.)

These values are not given as dBA, but as dBSPL, that means without any

weighting filter.

Differentiate between sound pressure p as a "sound field quantity" and

sound intensity I as a "sound energy quantity". I p2 for progressive plane waves.

When it comes to our ears and the hearing, it is recommended that the

inappropriate expression of the sound energy parameters, such as sound power

and sound intensity to leave aside. So we are just listening to the sound pressure

as sound field quantity, or the sound pressure level SPL.

The sound pressure level decreases in the free field with 6 dB per distance doubling. That is the 1/r law.

Often it is argued the sound pressure would decrease after the 1/r2 law (inverse square law). That's wrong.

The sound pressure in a free field is inversely proportional to the distance from the microphone to the source. p ~ 1/r.

Relation of sound intensity, sound pressure and distance law:

From this follows

Note: The often used term "intensity of sound pressure" is not correct.

Use "magnitude", "strength", "amplitude", or "level" instead.

"Sound intensity" is sound power per unit area, while "pressure" is a

measure of force per unit area. Intensity (sound energy quantity) is not

equivalent to pressure (sound field quantity).

dB scale for field quantities, like volts and sound pressures

ratio

The sound pressure is the force F in newtons N of a sound on a surface

area A in m2 perpendicular to the direction of the sound. The SI-unit for

the sound pressure p is N/m2 = Pa. p ~ 1/r.

Note - Comparing dB and dBA: There is no conversion formula for

measured dBA values to sound pressure level dBSPL or vice versa.

How loud is dangerous?

190 dBA

Heavy weapons, 10 m behind the weapon (maximum level)

180 dBA

Toy pistol fired close to ear (maximum level)

170 dBA

Slap on the ear, fire cracker explodes on shoulder, small arms

at a distance of 50 cm (maximum level)

160 dBA

Hammer stroke on brass tubing or steel plate at 1 m distance,

airbag deployment very close at a distance of 30 cm (maximum level)

150 dBA

Hammer stroke in a smithy at 5 m distance (maximum level)

130 dBA

Loud hand clapping at 1 m distance (maximum level)

120 dBA

Whistle at 1 m distance, test run of a jet at 15 m distance

Threshold of pain, above this fast-acting hearing damage in short action is possible

115 dBA

Take-off sound of planes at 10 m distance

110 dBA

Siren at 10 m distance, frequent sound level in discotheques and close

to loudspeakers at rock concerts, violin close to the ear of an orchestra

musicians (maximum level)

105 dBA

Chain saw at 1 m distance, banging car door at 1 m distance (maximum level),

racing car at 40 m distance, possible level with music head phones

100 dBA

Frequent level with music via head phones, jack hammer at 10 m distance

95 dBA

Loud crying, hand circular saw at 1 m distance

90 dBA

Angle grinder outside at 1 m distance

Over a duration of 40 hours a week hearing damage is possible

85 dBA

2-stroke chain-saw at 10 m distance, loud WC flush at 1 m distance

80 dBA

Very loud traffic noise of passing lorries at 7.5 m distance,

high traffic on an expressway at 25 m distance

75 dBA

Passing car at 7.5 m distance, un-silenced wood shredder at 10 m distance

70 dBA

Level close to a main road by day, quiet hair dryer at 1 m distance to ear

65 dBA

Bad risk of heart circulation disease at constant impact is possible

60 dBA

Noisy lawn mower at 10 m distance

55 dBA

Low volume of radio or TV at 1 m distance, noisy vacuum cleaner at

10 m distance

50 dBA

Refrigerator at 1 m distance, bird twitter outside at 15 m distance

45 dBA

Noise of normal living; talking, or radio in the background

40 dBA

Distraction when learning or concentration is possible

35 dBA

Very quiet room fan at low speed at 1 m distance

25 dBA

Sound of breathing at 1 m distance

0 dBA

Auditory threshold

Threshold of pain

What is the threshold of pain?

You can find the following rounded values in various articles:

Sound pressure level Lp

Sound pressurep

140 dB

200 Pa

137.5 dB

150 Pa

134 dB

100 Pa

120 dB

20 Pa

Notice: Psychoacousticians say that a level increase of 10 dB

gives the impression of a doubling of loudness (volume).

Your loudspeakers need 10 times more power.

If you have 6 violins as source, then you have to tenfold the violins;

so you need 60 violins to double the psycho-acoustic volume.

Half loudness - level: 10 dB

Double loudness - level: +10 dB

Half sound pressure - level: 6 dB

Double sound pressure - level: +6 dB

Half power - level: 3 dB

Double power: - level +3 dB

fourfold power - level: +6 dB

Tenfould power - level: +10 dB

Double distance: 6 dB

Double sources (Double power) +3 dB

Sound Level Comparison Chart and the Factors

Table of sound level dependence and the change of the respective factor to subjective

volume (loudness), objective sound pressure (voltage), and sound intensity (acoustic power)

How many decibels (dB) change is double, half, or four times as loud?

How many dB to appear twice as loud (twofold)? Here are all the different factors.

Factor means "how many times" or "how much" ... Doubling of loudness.

Level

Change

Volume

Loudness

Voltage

Sound pressure

Acoustic Power

Sound Intensity

+40 dB

16

100

10000

+30 dB

8

31.6

1000

+20 dB

4

10

100

+10 dB

2.0 = double

3.16 = v10

10

+6 dB

1.52 fold

2.0 = double

4.0

+3 dB

1.23 fold

1.414 fold = v2

2.0 = double

- - - - ±0 dB - - - -

- - - - 1.0 fold - - - -

- - - - 1.0 fold - - - -

- - - - 1.0 fold - - - -

-3 dB

0.816 fold

0.707 fold

0.5 = half

-6 dB

0.660 fold

0.5 = half

0.25

-10 dB

0.5 = half

0.316

0.01

-20 dB

0.25

0.100

0.01

-30 dB

0.125

0.0316

0.001

-40 dB

0.0625

0.0100

0.0001

Log. quantity

Psycho quantity

Field quantity

Energy quantity

dB change

Loudness multipl.

Voltage multiplier

Power multiplier

The psycho-acoustic volume or loudness is a subjective sensation size.

Is 10 dB or 6 dB sound level change for a doubling or halving of the loudness (volume) correct?

About the connection between sound level and loudness, there are various theories. Far spread is still the

theory of psycho-acoustic pioneer Stanley Smith Stevens, indicating that the doubling or halving the

sensation of loudness corresponds to a level difference of 10 dB. Recent research by Richard M. Warren,

on the other hand leads to a level difference of only 6 dB. *) This means that a double sound pressure

corresponds to a double loudness. The psychologist John G. Neuhoff found out that for the rising level our

hearing is more sensitive than for the declining level. For the same sound level difference the change of

loudness from quiet to loud is stronger than from loud to quiet.

It is suggested that the sone scale of loudness reflects the influence of known experimental biases and

hence does not represent a fundamental relation between stimulus and sensation.

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