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Sound Intensity Calculator

Enter the value of sound intensity and the reference intensity in the decibel calculator. Click calculate to find the sound intensity level.

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The sound intensity level calculator finds the value of sound in decibels. This information helps to know how intense a sound is. You can find any of the three values by entering the remaining two.

Sound intensity is the energy or power by which sound waves travel across a medium. It varies with objects. For example, a closing door will produce less sound as compared to an elephant trumpeting.

What is the Sound intensity level?

The sound intensity level is a ratio between any sound and the faintest sound that is possible for humans to hear. It is written as;

IL (β) = 10 log10 (I/I0)

Here I is sound intensity and I0 is the reference intensity. It is measured in decibels. DSound intensity is represented by the beta symbol β.

Humans can hear sounds between a range. This range is 10-12Wm2 to 1Wm2. The sound of frequency 10-12Wm2 is called zero bel and it is also the reference intensity.

How to find sound intensity level?

Since the formula involves a logarithm, it can be tricky. So the best and suggested way is to use the intensity level calculator.

But for your convenience, the manual method is explained through an example below.

Example: 

If the intensity of a sound is 124 Wm-2 then find its intensity level.

Solution:

Step 1: Identify the values.

Sound intensity = 124 Wm2

Reference intensity = 10-12 Wm2

Step 2: Put the values in the formula:

β = 10 log10 (I/I0)

β = 10 log10 (124/10-12)

β = 140.932 db

Sound Intensity Table

Examples 

Intensity (Wm2)

Decibels 

Silence 

10-12

0

Breathing

10-11

10

Rustle of leaves

10-10

20

Whispering 

10-9

30

Refrigerator, computer hum

10-8

40

Rain

10-7

50

Conversation

10-6

60

Shower, flush, car

10-5

70

A truck, loud radio

10-4

80

Lawnmower, hairdryer

10-3

90

A helicopter, subway train

10-2

100

Trombone, rock band

10-1

110

Airplane on taking off, police siren

10

120

Threshold of pain

102

130

Fireworks

103

140

Gunshot 

104

150

Fighter jet

105

160

Rocket launch

106

170

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