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# Spherical Sound Propagation Calculator

The sound pressure in a spherical distance from a source with a known sound power can be calculated using the given Spherical Sound Propagation Calculator. For a spherical free field sound propagation, the decibel value of the sound pressure level is equal to the sound power level. All linear acoustic wave propagation can be seen as a superposition of spherical waves. Just input the required values in the Online calculator to calculate Sound Pressure at Spherical Free Field.

## Calculate Sound Pressure At Spherical Free Field

kg/m3
m/s
W
m
N/m2

The sound pressure in a spherical distance from a source with a known sound power can be calculated using the given Spherical Sound Propagation Calculator. For a spherical free field sound propagation, the decibel value of the sound pressure level is equal to the sound power level. All linear acoustic wave propagation can be seen as a superposition of spherical waves. Just input the required values in the Online calculator to calculate Sound Pressure at Spherical Free Field.

#### Spherical Sound Propagation Formula:

P = √ ((Qxρ x c x P ac) / (4 x π x r2)) Where, P = Sound Pressure Q = Directivity Factor ρ = Density of Air c = Speed of Sound π = 3.14 Pac = Sound Power r = Distance From Source

#### Example

Find the sound pressure at spherical free field having Q = 6, ρ = 35 kg/m3, c = 15 m/s, Pac = 62 W, r = 9 m?
=(√((6x35x15x62))/(4xπx(9^2)))
The equivalent Spherical Free Field Pressure (P) is 0.4342 N/m2.