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It will be 1/9 as intense (or badly phrased, "nine times lower").
Intensity is defined as the energy crossing per unit area in unit time. So intensity will be inversely proportional to the square of the distance.
So as distance is multiplied by 3 times then intensity would be reduced by 3² i.e. 9 times.
(A meter reveals that the sound level has dropped by 9.54 dB.)
For sound intensity (acoustic intensity) we use in the free field (direct field) the inverse square law = 1/r². I1 and r1 belong to the close distance and I2 and r2 belong to the far distance. I2 = I1 * (r1/r2)² I2 = I1 * (1/3)² = (I/ 9)
*Do not forget that the sound pressure is not the same as sound intensity. Sound pressure needs the distance law 1/r. (No square at all).
For sound pressure we use in the free field (direct field) the inverse distance law = 1/r. p1 and r1 belong to the close distance and p2 and p2 belong to the far distance.
p2 = p1 x r1/r2
p2 = p1 x 1/3 = p1 / 3
Three times farther away gives one third the sound pressure of the close sound pressure.
For sound intensity (acoustic intensity) we use in the free field (direct field) the inverse square law = 1/r². I1 and r1 belong to the close distance and I2 and r2 belong to the far distance.
I2 = I1 x (r1/r2)²
I2 = I1 x (1/3)² = I1 / 9
Three times farther away gives one ninth the sound intensity of the close sound intensity.
Scroll down to related links and look at "Sound pressure p and the inverse distance law 1/r".
For sound intensity (acoustic intensity) we use in the free field (direct field) the inverse square law = 1/r². I1 and r1 belong to the close distance and I2 and r2 belong to the far distance.
I2 = I1 * (r1/r2)²
I2 = I1 * (1/3)² = I1 / 9
Three times farther away gives one ninth the sound intensity of the close sound intensity.
Do not forget that the sound pressure is not the same as sound intensity. Sound pressure needs the distance law 1/r. (No square at all).
For sound intensity (acoustic intensity) we use in the free field (direct field) the inverse square law = 1/r². I1 and r1 belong to the close distance and I2 and r2 belong to the far distance.
I2 = I1 x (r1/r2)²
I2 = I1 x (1/3)² = I1 / 9
Three times farther away gives one ninth the sound intensity of the close sound intensity.
For sound pressure we use in the free field (direct field) the inverse distance law = 1/r. p1 and r1 belong to the close distance and p2 and p2 belong to the far distance.
p2 = p1 x r1/r2
p2 = p1x 1/3 = p1 / 3
Three times farther away gives one third the sound pressure of the close sound pressure.
Scroll down to related links and look at "Sound pressure p and the inverse distance law 1/r".
For sound intensity (acoustic intensity) we use in the free field (direct field) the inverse square law = 1/r². I1 and r1 belong to the close distance and I2 and r2 belong to the far distance.
I2 = I1 x (r1/r2)²
I2 = I1 x (1/3)² = I1 / 9
Three times farther away gives one ninth the sound intensity of the close sound intensity.
For sound pressure we use in the free field (direct field) the inverse distance law = 1/r. p1 and r1 belong to the close distance and p2 and p2 belong to the far distance.
p2 = p1 x r1/r2
p2 = p1 x 1/3 = p1 / 3
Three times farther away gives one third the sound pressure of the close sound pressure.
Scroll down to related links and look at "Sound pressure p and the inverse distance law 1/r".
For sound intensity (acoustic intensity) we use in the free field (direct field) the inverse square law = 1/r². I1 and r1 belong to the close distance and I2 and r2 belong to the far distance.
I2 = I1 * (r1/r2)²
I2 = I1 * (1/3)² = I1 / 9
Three times farther away gives one ninth the sound intensity of the close sound intensity.
For sound pressure we use in the free field (direct field) the inverse distance law = 1/r. p1 and r1 belong to the close distance and p2 and p2 belong to the far distance.
p2 = p1 * r1/r2
p2 = p1 * 1/3 = p1 / 3
Three times farther away gives one third the sound pressure of the close sound pressure.
Scroll down to related links and look at "Sound pressure p and the inverse distance law 1/r".
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