SPH3U. INTENSITY Waves transport energy MEASURING ENERGY DEPOSITED ON A SURFACE AREA Unit: W/m 2 whisper10 -12 W/m 2 loudest1 W/m 2 pain10 W/m 2.

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Presentation transcript:

SPH3U

INTENSITY Waves transport energy

MEASURING ENERGY DEPOSITED ON A SURFACE AREA Unit: W/m 2 whisper W/m 2 loudest1 W/m 2 pain10 W/m 2

Distance from source(m)Intensity (W/m 2 )

Determine the equation relating Intensity to Distance from the source. Intensity = ???

I  1/d n, n › 0 try n = 1 1/d (1/m)Intensity (W/m 2 )

try I α 1/d 2 1/d 2 (1/m 2 )Intensity (W/m 2 )

I α 1/d 2 I = k(1/d 2 ) k = slope I = 159/d 2

Relationship between Intensity and distance from the Source Inverse square relationship I α 1/d 2

Decibel Scale STEP 1: the intensity of a sound (I 1 ) is compared to that of a whisper (I 0 ) STEP 2: take log 10 STEP 3: multiply by 10 I = 10 log 10 (I 1 /I 0 )

Intensity (W/m 2 )step 1: comparestep 2: take logintensity in dB I1I1 I 1 /I 0 log 10 (I 1 /I 0 )10log(I 1 /I 0 )

Intensity (W/m 2 )step 1: comparestep 2: take logintensity in dB I1I1 I 1 /I 0 log 10 (I 1 /I 0 )10log(I 1 /I 0 ) / =

Intensity (W/m 2 )step 1: comparestep 2: take logintensity in dB I1I1 I 1 /I 0 log 10 (I 1 /I 0 )10log(I 1 /I 0 ) / =

Intensity (W/m 2 )step 1: comparestep 2: take logintensity in dB I1I1 I 1 /I 0 log 10 (I 1 /I 0 )10log(I 1 /I 0 ) / = 1log 10 (1) =

Intensity (W/m 2 )step 1: comparestep 2: take logintensity in dB I1I1 I 1 /I 0 log 10 (I 1 /I 0 )10log(I 1 /I 0 ) / = 1log 10 (1) = 010(0) =

Intensity (W/m 2 )step 1: comparestep 2: take logintensity in dB I1I1 I 1 /I 0 log 10 (I 1 /I 0 )10log(I 1 /I 0 ) / = 1log 10 (1) = 010(0) = / = 10log 10 (10) = 110(1)=

intensity I1I1 I 1 /I 0 log 10 (I 1 /I 0 )10log(I 1 /I 0 ) = =