{"id":100231,"date":"2026-02-15T20:28:34","date_gmt":"2026-02-15T20:28:34","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100231"},"modified":"2026-07-15T13:19:19","modified_gmt":"2026-07-15T13:19:19","slug":"sound-level-converter","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/he\/calculators\/sound-level-converter\/","title":{"rendered":"\u05de\u05de\u05d9\u05e8 \u05e8\u05de\u05ea \u05dc\u05d7\u05e5 \u05e7\u05d5\u05dc RMS"},"content":{"rendered":"<p><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Airborne RMS Sound-Pressure Level Converter\",\"description\":\"Convert documented RMS sound pressure in air to or from level relative to 20 \u00b5Pa. The tool excludes peak pressure, static pressure, hearing thresholds and safety verdicts.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/sound-level-converter\/\",\"applicationCategory\":\"EngineeringApplication\",\"operatingSystem\":\"Any\",\"isAccessibleForFree\":true,\"inLanguage\":\"en\"}<\/script><\/p>\n<style>\n.vbm231{--ink:#172235;--muted:#556276;--line:#d8e0e9;--soft:#f4f7fa;--blue:#135ca8;--blue2:#0d447e;--amber:#8a5700;--amber-bg:#fff7df;--red:#a52828;--red-bg:#fff0f0;--green:#17613a;--green-bg:#edf9f1;max-width:1040px;margin:0 auto;padding:18px 14px 44px;color:var(--ink);font:15px\/1.55 system-ui,-apple-system,\"Segoe UI\",sans-serif}.vbm231 *{box-sizing:border-box}.vbm231 h1,.vbm231 h2,.vbm231 h3{line-height:1.2}.vbm231 h1{font-size:clamp(27px,4vw,42px);margin:8px 0 12px}.vbm231 h2{font-size:22px;margin:0 0 16px}.vbm231 h3{font-size:17px;margin:22px 0 8px}.vbm231 p{margin:8px 0}.vbm231 a{color:var(--blue)}.vbm231-header{text-align:center;padding:32px 18px 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120px}.vbm231 table{display:block;overflow-x:auto}}\n<\/style>\n<p><main class=\"vbm231\"><\/p>\n<header class=\"vbm231-header\">\n<p class=\"vbm231-kicker\">Airborne sound \u00b7 documented RMS quantity \u00b7 reference 20 \u00b5Pa<\/p>\n<h1>RMS Sound-Pressure Level Converter<\/h1>\n<p class=\"vbm231-lead\">Convert a documented unweighted RMS sound pressure in air to or from its logarithmic level relative to 20 \u00b5Pa.<\/p>\n<div class=\"vbm231-badges\"><span class=\"vbm231-badge\">p is RMS, not peak<\/span><span class=\"vbm231-badge\">Reference stated explicitly<\/span><span class=\"vbm231-badge\">No hearing or safety verdict<\/span><\/div>\n<\/header>\n<div class=\"vbm231-notice\"><strong>Quantity conversion only\u2014not a sound-level-meter, dose, exposure or hearing-risk calculation.<\/strong> The result is valid only when the entered pressure is the RMS\/effective acoustic pressure for the documented time interval and frequency band, or when the entered level uses the same 20 \u00b5Pa reference and unweighted RMS definition. It is not static pressure, instantaneous\/peak pressure, sound power, sound intensity or underwater level.<\/div>\n<form id=\"vbm231-form\" class=\"vbm231-card\" autocomplete=\"off\" novalidate>\n<h2>Documented quantity<\/h2>\n<div class=\"vbm231-grid\">\n<div class=\"vbm231-field\"><label for=\"vbm231-mode\">Conversion direction<\/label><select id=\"vbm231-mode\"><option value=\"level\">Level Lp \u2192 RMS pressure p<\/option><option value=\"pressure\">RMS pressure p \u2192 level Lp<\/option><\/select><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-value\">Input value<\/label><\/p>\n<div class=\"vbm231-inline\"><input id=\"vbm231-value\" type=\"text\" inputmode=\"decimal\" placeholder=\"e.g. 94\"><select id=\"vbm231-unit\" aria-label=\"Input unit\"><option value=\"dB\">dB re 20 \u00b5Pa<\/option><option value=\"Pa\" disabled>Pa RMS<\/option><option value=\"mPa\" disabled>mPa RMS<\/option><option value=\"uPa\" disabled>\u00b5Pa RMS<\/option><\/select><\/div>\n<\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-record\">Measurement \/ calculation record ID<\/label><input id=\"vbm231-record\" type=\"text\" placeholder=\"required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-medium\">Medium and measurement environment<\/label><input id=\"vbm231-medium\" type=\"text\" placeholder=\"air\/gas and conditions; required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-time\">RMS averaging interval \/ time processing<\/label><input id=\"vbm231-time\" type=\"text\" placeholder=\"required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-band\">Frequency band \/ bandwidth<\/label><input id=\"vbm231-band\" type=\"text\" placeholder=\"required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-weight\">Frequency weighting \/ filter record<\/label><input id=\"vbm231-weight\" type=\"text\" placeholder=\"unweighted; required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-instrument\">Instrument \/ processing system and mode<\/label><input id=\"vbm231-instrument\" type=\"text\" placeholder=\"required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-cal\">Calibration \/ traceability and uncertainty<\/label><input id=\"vbm231-cal\" type=\"text\" placeholder=\"required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-source\">Definition source, edition, clause and reference<\/label><input id=\"vbm231-source\" type=\"text\" placeholder=\"required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-person\">Prepared \/ reviewed by<\/label><input id=\"vbm231-person\" type=\"text\" placeholder=\"required\"><\/div>\n<div class=\"vbm231-field\"><label for=\"vbm231-date\">Record date<\/label><input id=\"vbm231-date\" type=\"text\" placeholder=\"YYYY-MM-DD\"><\/div>\n<div class=\"vbm231-field full\"><label for=\"vbm231-notes\">Notes and exclusions <span class=\"vbm231-hint\">Optional: field type, microphone orientation, background correction, tonal\/impulsive character, processing chain<\/span><\/label><textarea id=\"vbm231-notes\"><\/textarea><\/div>\n<\/p><\/div>\n<div class=\"vbm231-checks\">\n   <label class=\"vbm231-check\"><input type=\"checkbox\" id=\"vbm231-c1\"><span>The quantity is airborne acoustic pressure and uses p<sub>0<\/sub> = 20 \u00b5Pa; it is not an underwater level (commonly stated with a different reference), static pressure, sound power or sound intensity.<\/span><\/label><br \/>\n   <label class=\"vbm231-check\"><input type=\"checkbox\" id=\"vbm231-c2\"><span>The pressure is RMS\/effective over the recorded time and frequency processing, or the level is defined from that same quantity. It is not peak, peak-to-peak or instantaneous pressure.<\/span><\/label><br \/>\n   <label class=\"vbm231-check\"><input type=\"checkbox\" id=\"vbm231-c3\"><span>The input is unweighted. A-, C-, Z- or band-weighted levels require a matching processed-pressure definition and must not be interpreted as unweighted broadband pressure.<\/span><\/label><br \/>\n   <label class=\"vbm231-check\"><input type=\"checkbox\" id=\"vbm231-c4\"><span>No threshold-of-hearing, loudness, pain, dose, exposure-limit, hearing-protection or compliance decision will be inferred from this arithmetic result.<\/span><\/label>\n  <\/div>\n<div class=\"vbm231-actions\"><button type=\"submit\" class=\"vbm231-primary\">Convert documented quantity<\/button><button type=\"button\" class=\"vbm231-secondary\" id=\"vbm231-clear\">Clear<\/button><\/div>\n<div id=\"vbm231-error\" class=\"vbm231-error\" role=\"alert\"><\/div>\n<\/p><\/form>\n<section id=\"vbm231-results\" class=\"vbm231-card vbm231-results\" aria-live=\"polite\">\n<h2>Converted quantity<\/h2>\n<div class=\"vbm231-result-grid\">\n<div class=\"vbm231-result primary\">\n<div class=\"vbm231-result-label\">Sound-pressure level Lp<\/div>\n<div class=\"vbm231-result-value\" id=\"vbm231-r-level\">\u2014<\/div>\n<\/div>\n<div class=\"vbm231-result primary\">\n<div class=\"vbm231-result-label\">RMS sound pressure p<\/div>\n<div class=\"vbm231-result-value\" id=\"vbm231-r-pressure\">\u2014<\/div>\n<\/div>\n<div class=\"vbm231-result\">\n<div class=\"vbm231-result-label\">Reference pressure p0<\/div>\n<div class=\"vbm231-result-value\">20 \u00b5Pa = 2 \u00d7 10\u207b\u2075 Pa<\/div>\n<\/div><\/div>\n<div class=\"vbm231-status\" id=\"vbm231-r-status\"><\/div>\n<\/section>\n<section class=\"vbm231-card\">\n<h2>Equations, units and classification<\/h2>\n<div class=\"vbm231-formula\">L<sub>p<\/sub> = 20 lg(p \/ p<sub>0<\/sub>) dB<br \/>p = p<sub>0<\/sub> \u00d7 10<sup>Lp \/ 20<\/sup><br \/>p<sub>0<\/sub> = 20 \u00b5Pa = 2 \u00d7 10<sup>\u22125<\/sup> Pa<\/div>\n<p>Here <em>p<\/em> is the RMS\/effective sound pressure after the documented time and frequency processing, and <em>p<\/em><sub>0<\/sub> is the reference pressure. The inverse follows algebraically. This page classifies the relation as a <strong>general logarithmic level definition independently supported by public NIST material<\/strong>; the public ISO card confirms the current acoustics-quantities standard and amendment but does not expose its licensed table or exact clause wording.<\/p>\n<\/section>\n<section class=\"vbm231-card\">\n<h2>Model boundary and corrected claims<\/h2>\n<ul>\n<li><strong>Reference is not an individual hearing threshold.<\/strong> 20 \u00b5Pa is the stated reference quantity. Human audibility depends on frequency, person, signal, duration and conditions; 0 dB re 20 \u00b5Pa is not universal silence or \u201cthe quietest sound most people detect.\u201d<\/li>\n<li><strong>No pain or sound-source table.<\/strong> Former conversation, pain-threshold and jet-engine examples mixed context-dependent perception\/source descriptions with pure pressure ratios and were not required for the conversion.<\/li>\n<li><strong>Weighted level is not unweighted pressure.<\/strong> A-weighting is frequency processing. A single A-weighted level can be mapped to a corresponding A-weighted effective pressure magnitude when the same definition\/reference is used, but it cannot reconstruct the unweighted spectrum or broadband RMS pressure. This worksheet intentionally requires unweighted input.<\/li>\n<li><strong>No 94 dB = 1 Pa identity.<\/strong> With p<sub>0<\/sub> = 20 \u00b5Pa, exactly 1 Pa gives about 93.9794 dB, and exactly 94 dB gives about 1.00237 Pa. \u201c94 dB \u2248 1 Pa\u201d is only a rounded reference example.<\/li>\n<li><strong>No measurement or compliance inference.<\/strong> IEC 61672-1:2013 specifies performance for time-weighting, integrating-averaging and integrating sound level meters, including class 1\/class 2 and uncertainty requirements. This webpage does not implement an instrument, weighting filter or conformity test.<\/li>\n<li><strong>Strict numerical domain.<\/strong> Pressure must be finite and greater than zero; both directions reject malformed\/partial input, underflow to zero, overflow and nonfinite output. Negative finite levels are valid ratios.<\/li>\n<\/ul>\n<\/section>\n<section class=\"vbm231-card\">\n<h2>Source traceability<\/h2>\n<table>\n<thead>\n<tr>\n<th>Claim<\/th>\n<th>Classification<\/th>\n<th>Evidence<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>ISO 80000-8:2020 Edition 2 gives names, symbols, definitions and units for acoustics quantities; it remains current after confirmation in 2025 and has Amendment 1:2025.<\/td>\n<td>Official ISO public status\/scope<\/td>\n<td><a href=\"https:\/\/www.iso.org\/standard\/64978.html\" target=\"_blank\" rel=\"noopener\">ISO 80000-8:2020<\/a> and <a href=\"https:\/\/www.iso.org\/standard\/87104.html\" target=\"_blank\" rel=\"noopener\">Amd 1:2025<\/a>; exact normative content remains licensed<\/td>\n<\/tr>\n<tr>\n<td>Lp = 20 lg(p\/p0) dB and p0 = 20 \u00b5Pa; reference must be stated.<\/td>\n<td>Official public metrology guidance<\/td>\n<td><a href=\"https:\/\/www.nist.gov\/pml\/special-publication-811\/nist-guide-si-chapter-8\" target=\"_blank\" rel=\"noopener\">NIST SP 811, Chapter 8<\/a><\/td>\n<\/tr>\n<tr>\n<td>For acoustical measurement, p is temporal RMS sound pressure over an appropriate averaging period and p0 = 20 \u00b5Pa.<\/td>\n<td>Official public NBS\/NIST technical report<\/td>\n<td><a href=\"https:\/\/nvlpubs.nist.gov\/nistpubs\/Legacy\/IR\/nbsir75-938.pdf\" target=\"_blank\" rel=\"noopener\">NBSIR 75-938, \u00a72.1.1<\/a><\/td>\n<\/tr>\n<tr>\n<td>IEC 61672-1:2013 Edition 2 covers time-weighting, integrating-averaging and integrating sound level meters, class 1\/class 2 and measurement uncertainty; stability date 2029.<\/td>\n<td>Official IEC public status\/scope<\/td>\n<td><a href=\"https:\/\/webstore.iec.ch\/en\/publication\/5708\" target=\"_blank\" rel=\"noopener\">IEC 61672-1:2013<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"vbm231-small\"><strong>Accessed:<\/strong> 15 July 2026. Public sources support the displayed general relation, RMS meaning, reference and instrument boundary. Exact ISO\/IEC clauses and any conformance decision remain <strong>NEEDS_LICENSED_SOURCE<\/strong>.<\/p>\n<\/section>\n<section class=\"vbm231-card\">\n<h2>Arithmetic reference examples<\/h2>\n<p>For L<sub>p<\/sub> = 94 dB re 20 \u00b5Pa, p = 20 \u00d7 10<sup>\u22126<\/sup> \u00d7 10<sup>94\/20<\/sup> \u2248 1.00237447 Pa RMS. For p = 1 Pa RMS, L<sub>p<\/sub> = 20 lg(1 \/ 20 \u00d7 10<sup>\u22126<\/sup>) \u2248 93.9794001 dB. These are quantity conversions, not loudness or safety statements.<\/p>\n<\/section>\n<section class=\"vbm231-card\">\n<h2>Questions<\/h2>\n<details>\n<summary>Can I enter a negative level?<\/summary>\n<p>Yes. A negative dB value means the RMS pressure is below the stated 20 \u00b5Pa reference; it does not mean negative physical pressure magnitude.<\/p>\n<\/details>\n<details>\n<summary>Can I enter dB(A)?<\/summary>\n<p>Not in this unweighted worksheet. The same logarithmic ratio may describe a processed A-weighted effective pressure, but that result is not the unweighted broadband RMS pressure and cannot recover the spectrum.<\/p>\n<\/details>\n<details>\n<summary>Why require an averaging interval and band?<\/summary>\n<p>RMS pressure depends on the signal interval and frequency processing. Without those records, the number is not sufficiently defined for comparison or traceability.<\/p>\n<\/details>\n<\/section>\n<p><\/main><br \/>\n<script>\n(function(){'use strict';\nvar P0=20e-6,form=document.getElementById('vbm231-form'),error=document.getElementById('vbm231-error'),results=document.getElementById('vbm231-results');\nfunction parseDecimal(value,label){var s=String(value==null?'':value).trim();if(!\/^[+-]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))throw new Error(label+' must be one signed plain decimal using a point or comma.');var n=Number(s.replace(',','.'));if(!Number.isFinite(n))throw new Error(label+' is outside the finite numeric range.');return n}\nfunction requiredText(id,label){var value=document.getElementById(id).value.trim();if(!value)throw new Error(label+' is required.');return value}\nfunction calculate(values){if(!['level','pressure'].includes(values.mode))throw new Error('Select a valid conversion direction.');var v=parseDecimal(values.value,'Input value'),factor=values.unit==='Pa'?1:values.unit==='mPa'?1e-3:values.unit==='uPa'?1e-6:values.unit==='dB'?1:NaN;if(!Number.isFinite(factor))throw new Error('Select a valid input unit.');if(values.mode==='level'&&values.unit!=='dB')throw new Error('Level input must use dB re 20 \u00b5Pa.');if(values.mode==='pressure'&&values.unit==='dB')throw new Error('Pressure input must use Pa, mPa or \u00b5Pa RMS.');var level,pressure;if(values.mode==='level'){level=v;pressure=P0*Math.pow(10,level\/20)}else{pressure=v*factor;if(!(pressure>0))throw new Error('RMS sound pressure must be greater than zero.');level=20*Math.log10(pressure\/P0)}if(!Number.isFinite(level)||!Number.isFinite(pressure)||!(pressure>0))throw new Error('The converted quantity is outside the finite nonzero numeric range.');return{level:level,pressure:pressure,reference:P0}}\nfunction fmt(n){if(!Number.isFinite(n))return'\u2014';if(Object.is(n,-0)||n===0)return'0';var a=Math.abs(n);return(a>=1e7||a<1e-5?n.toExponential(9):n.toPrecision(10)).replace(\/(\\.\\d*?[1-9])0+(e|$)\/,'$1$2').replace(\/\\.0+(e|$)\/,'$1')}\nfunction setText(id,text){document.getElementById(id).textContent=text}function render(r){setText('vbm231-r-level',fmt(r.level)+' dB re 20 \u00b5Pa');setText('vbm231-r-pressure',fmt(r.pressure)+' Pa \u00b7 '+fmt(r.pressure*1e6)+' \u00b5Pa');setText('vbm231-r-status','Quantity conversion only. 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