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What is a band level?

A subway train has a sound intensity level of 90dB, and a rock band has a sound intensity level of about 110?

  • dB. How many times greater is the sound intensity of the band than the train?

  • Answer:

    Actually Decibels is a logarithmic scale so not as simple as normal calcualtion... the actual answer is 100 times louder... 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 decibel scale. 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. So something 90db is 10*10*10*10*10*10*10*10*10 times more intense or 1,000,000,000 times more intense. Something 100db would be 10,000,000,000 (10 times louder) Someting 110db is 100,000,000,000 (10x10 times louder) 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. Source Intensity Intensity Level # of Times Greater Than TOH Threshold of Hearing (TOH) 1*10-12 W/m2 0 dB 100 Rustling Leaves 1*10-11 W/m2 10 dB 101 Whisper 1*10-10 W/m2 20 dB 102 Normal Conversation 1*10-6 W/m2 60 dB 106 Busy Street Traffic 1*10-5 W/m2 70 dB 107 Vacuum Cleaner 1*10-4 W/m2 80 dB 108 Large Orchestra 6.3*10-3 W/m2 98 dB 109.8 Walkman at Maximum Level 1*10-2 W/m2 100 dB 1010 Front Rows of Rock Concert 1*10-1 W/m2 110 dB 1011 Threshold of Pain 1*101 W/m2 130 dB 1013 Military Jet Takeoff 1*102 W/m2 140 dB 1014 Instant Perforation of Eardrum 1*104 W/m2 160 dB 1016

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110-90=20 dB 20 dB = 10 Log (10squared) so the power level of the band is 10squared = 100 times that of the subway

bobweb

Sound intensity is variously defined as amplitude or displacement (Ref. 1) or power per unit area (ref. 2). If you mean displacement, then a 20 dB intensity ratio = 10^(dB/20) = 10^1 = 10 times the displacement. If you mean power, then a 20 dB intensity ratio = 10^(dB/10) = 10^2 = 100 times the power.

kirchwey

1.22 times louder. 110 divided by 90 equals 1.22.

TonyPags

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