Independent sound intensity levels

Assumes uncorrelated sound sources at the same spot, radiating equally in all directions in a free field, with the same intensity reference and measure.

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Assumes uncorrelated sound sources at the same spot, radiating equally in all directions in a free field, with the same intensity reference and measure. The tool adds energies, not pressure amplitudes. The distance law ignores reflections and absorption. It is not an approval for hearing or noise protection.

Model, grammar and limits

LΣ=10log10Σ10^(Li/10); Li(r)=Li(r0)−20log10(r/r0)

Numbers can have up to 48 characters, with a decimal point or e, and no thousands separators. Curves use 2 to 501 samples plus up to 16 section endpoints. Use up to 32 forces or sources and up to 16 sections. Springs take 1 to 20 periods with at least 8 samples per period; pendulum angles run from 0 to 179°. Magnus covers −40 to 35 °C over water and −40 to 0 °C over ice; relative humidity 0 to 100%, pressure 5 to 200 kPa, and vapor pressure must be below total pressure. Backup is limited to 1 MiB. Invalid, non-unique or unresolved data are rejected.

Results are numerical idealizations in SI units, shown with up to 10 digits; CSV keeps the numeric values and units. 9.80665 m/s² is the conventional standard g, not local gravity. Uncertainty in your inputs or the model is not estimated, and nothing here is a physical approval.

Calculation and backup stay in this browser. Workers stop after 15 seconds, or when you edit, reset or cancel. Inputs are never uploaded or stored. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.

Independent co-located sources

Use the chosen model

  1. Model, grammar and limits

    Assumes uncorrelated sound sources at the same spot, radiating equally in all directions in a free field, with the same intensity reference and measure. The tool adds energies, not pressure amplitudes. The distance law ignores reflections and absorption. It is not an approval for hearing or noise protection.

  2. Calculate

    LΣ=10log10Σ10^(Li/10); Li(r)=Li(r0)−20log10(r/r0). Numbers can have up to 48 characters, with a decimal point or e, and no thousands separators. Curves use 2 to 501 samples plus up to 16 section endpoints. Use up to 32 forces or sources and up to 16 sections. Springs take 1 to 20 periods with at least 8 samples per period; pendulum angles run from 0 to 179°. Magnus covers −40 to 35 °C over water and −40 to 0 °C over ice; relative humidity 0 to 100%, pressure 5 to 200 kPa, and vapor pressure must be below total pressure. Backup is limited to 1 MiB. Invalid, non-unique or unresolved data are rejected.

  3. Download CSV report

    Results are numerical idealizations in SI units, shown with up to 10 digits; CSV keeps the numeric values and units. 9.80665 m/s² is the conventional standard g, not local gravity. Uncertainty in your inputs or the model is not estimated, and nothing here is a physical approval. Calculation and backup stay in this browser. Workers stop after 15 seconds, or when you edit, reset or cancel. Inputs are never uploaded or stored. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.

Model questions

Model, grammar and limits

Assumes uncorrelated sound sources at the same spot, radiating equally in all directions in a free field, with the same intensity reference and measure. The tool adds energies, not pressure amplitudes. The distance law ignores reflections and absorption. It is not an approval for hearing or noise protection. LΣ=10log10Σ10^(Li/10); Li(r)=Li(r0)−20log10(r/r0)

Unit

Distance; Shared reference intensity (W/m²); Maximum plotted distance; Curve sample count (1); Intensity level at reference distance (dB); Reference distance. Numbers can have up to 48 characters, with a decimal point or e, and no thousands separators. Curves use 2 to 501 samples plus up to 16 section endpoints. Use up to 32 forces or sources and up to 16 sections. Springs take 1 to 20 periods with at least 8 samples per period; pendulum angles run from 0 to 179°. Magnus covers −40 to 35 °C over water and −40 to 0 °C over ice; relative humidity 0 to 100%, pressure 5 to 200 kPa, and vapor pressure must be below total pressure. Backup is limited to 1 MiB. Invalid, non-unique or unresolved data are rejected.

Model results

Results are numerical idealizations in SI units, shown with up to 10 digits; CSV keeps the numeric values and units. 9.80665 m/s² is the conventional standard g, not local gravity. Uncertainty in your inputs or the model is not estimated, and nothing here is a physical approval.

Download input backup

Calculation and backup stay in this browser. Workers stop after 15 seconds, or when you edit, reset or cancel. Inputs are never uploaded or stored. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.