{"id":100203,"date":"2026-02-15T20:27:14","date_gmt":"2026-02-15T20:27:14","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100203"},"modified":"2026-07-13T06:31:19","modified_gmt":"2026-07-13T06:31:19","slug":"pump-head-power","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/de\/calculators\/pump-head-power\/","title":{"rendered":"Dokumentiertes Hydraulik- und Eingangsleistungsblatt f\u00fcr Pumpen"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Documented Pump Hydraulic and Input Power Worksheet\",\"description\":\"Calculate steady-liquid pump output and pump input power from documented flow, total head, density, gravity and pump efficiency at one operating point.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/pump-head-power\/\",\"applicationCategory\":\"EngineeringApplication\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"dateModified\":\"2026-07-13\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"Does this worksheet select a motor?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. It estimates pump input power at the documented pump boundary. Motor or drive efficiency, duty, service factor, starting and transient loads, environmental derating and the governing project rules remain outside the calculation.\"}},{\"@type\":\"Question\",\"name\":\"Which head belongs in the equation?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Use pump total head: the increase in energy per unit weight between the defined suction and discharge conditions, not elevation alone and not an undocumented pressure reading.\"}},{\"@type\":\"Question\",\"name\":\"May I use a catalogue best-efficiency-point efficiency at another flow?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. Flow, total head, density and pump efficiency must describe the same pump, speed, impeller, liquid and operating point.\"}},{\"@type\":\"Question\",\"name\":\"Is the equation an ISO 9906 compliance calculation?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"No. It is a general steady-liquid energy relation. ISO 9906:2012 specifies hydraulic acceptance testing and grades; this worksheet does not reproduce its controlled test procedure, tolerances or acceptance decision.\"}}]}<\/script>\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Pump hydraulic and input power worksheet\",\"item\":\"https:\/\/vibromera.eu\/calculators\/pump-head-power\/\"}]}<\/script>\n<style>\n:root{--vc-surface:#fff;--vc-alt:#f8f6f2;--vc-ink:#1a1a1a;--vc-secondary:#5a5650;--vc-muted:#807b73;--vc-accent:#b84f22;--vc-accent-light:#fdf0ea;--vc-yellow:#825f00;--vc-yellow-light:#fff8dc;--vc-red:#9d2b24;--vc-red-light:#fff0ee;--vc-border:#d9d4cc;--vc-border-light:#e8e4dd;--vc-shadow:0 1px 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print{.vc-section-body,.vc-results{display:block!important}.vc-copy,.vc-chevron,.vc-actions{display:none}}\n<\/style>\n<div class=\"vc-calculator\">\n<header class=\"vc-header\"><p class=\"vc-eyebrow\">Controlled operating-point calculation<\/p><h1 class=\"vc-title\">Documented Pump Hydraulic &amp; Input Power Worksheet<\/h1><p class=\"vc-subtitle\">Calculate power transferred to a steady liquid and the corresponding pump input power from one documented operating point. No catalogue efficiency, hidden gravity value or motor-sizing margin is supplied.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">P<sub>w<\/sub> = \u03c1gQH<\/span><span class=\"vc-badge\">P<sub>p<\/sub> = P<sub>w<\/sub> \/ \u03b7<sub>p<\/sub><\/span><span class=\"vc-badge\">Reference calculation\u2014not motor selection<\/span><\/div><\/header>\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" novalidate><div class=\"vc-grid\">\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-flow-units\">Flow unit<\/label><select class=\"vc-select\" id=\"vc-flow-units\"><option value=\"m3h\">m\u00b3\/h<\/option><option value=\"ls\">L\/s<\/option><option value=\"gpm\">U.S. gal\/min<\/option><\/select><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-flow\">Pump rate of flow Q <span class=\"vc-hint\" id=\"vc-flow-hint\">(m\u00b3\/h)<\/span><\/label><input class=\"vc-input\" id=\"vc-flow\" inputmode=\"decimal\" autocomplete=\"off\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-head-units\">Head unit<\/label><select class=\"vc-select\" id=\"vc-head-units\"><option value=\"m\">metre of liquid (m)<\/option><option value=\"ft\">foot of liquid (ft)<\/option><\/select><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-head\">Pump total head H <span class=\"vc-hint\" id=\"vc-head-hint\">(m)<\/span><\/label><input class=\"vc-input\" id=\"vc-head\" inputmode=\"decimal\" autocomplete=\"off\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-density-units\">Density unit<\/label><select class=\"vc-select\" id=\"vc-density-units\"><option value=\"kgm3\">kg\/m\u00b3<\/option><option value=\"lbft3\">lb\/ft\u00b3 (mass density)<\/option><\/select><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-density\">Liquid density \u03c1 <span class=\"vc-hint\" id=\"vc-density-hint\">(kg\/m\u00b3)<\/span><\/label><input class=\"vc-input\" id=\"vc-density\" inputmode=\"decimal\" autocomplete=\"off\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-gravity\">Acceleration due to gravity g <span class=\"vc-hint\">(m\/s\u00b2)<\/span><\/label><input class=\"vc-input\" id=\"vc-gravity\" inputmode=\"decimal\" autocomplete=\"off\" placeholder=\"Document site\/test value; conventional g\u2099 is 9.80665\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-efficiency\">Pump efficiency \u03b7<sub>p<\/sub> <span class=\"vc-hint\">(%, 0 &lt; \u03b7 \u2264 100)<\/span><\/label><input class=\"vc-input\" id=\"vc-efficiency\" inputmode=\"decimal\" autocomplete=\"off\"><\/div>\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-source\">Controlled source and operating point<\/label><input class=\"vc-input\" id=\"vc-source\" autocomplete=\"off\" placeholder=\"Pump\/impeller\/speed\/liquid\/temperature\/curve or test\/revision\"><\/div>\n<label class=\"vc-check vc-wide\" for=\"vc-confirm\"><input id=\"vc-confirm\" type=\"checkbox\"><span>I confirm that Q is pump flow at the stated suction conditions, H is pump total head\u2014not elevation alone, \u03c1 is the liquid density, and \u03b7<sub>p<\/sub> is pump output power divided by pump input power. All values describe the same pump boundary, liquid and operating point. I will not use this result as a motor\/drive selection, ISO 9906 acceptance decision or substitute for the controlled pump curve and project rules.<\/span><\/label>\n<div class=\"vc-actions vc-wide\"><button class=\"vc-calc-btn\" type=\"submit\">Calculate documented power<\/button><\/div>\n<\/div><\/form><div class=\"vc-error\" id=\"vc-error\" role=\"alert\"><\/div>\n<div class=\"vc-results\" id=\"vc-results\" aria-live=\"polite\"><div class=\"vc-results-head\"><div><h2 class=\"vc-results-title\">Operating-point power record<\/h2><div class=\"vc-results-basis\" id=\"vc-results-basis\">\u2014<\/div><\/div><button type=\"button\" class=\"vc-copy\" id=\"vc-copy\">Copy record<\/button><\/div><div class=\"vc-result-grid\">\n<div class=\"vc-result vc-primary\"><div class=\"vc-result-label\">Pump output power to liquid P<sub>w<\/sub><\/div><div class=\"vc-result-value\" id=\"vc-output-power\">\u2014<\/div><\/div>\n<div class=\"vc-result vc-primary\"><div class=\"vc-result-label\">Pump input power P<sub>p<\/sub><\/div><div class=\"vc-result-value\" id=\"vc-input-power\">\u2014<\/div><\/div>\n<div class=\"vc-result\"><div class=\"vc-result-label\">Difference P<sub>p<\/sub> \u2212 P<sub>w<\/sub><\/div><div class=\"vc-result-value\" id=\"vc-loss-power\">\u2014<\/div><\/div>\n<div class=\"vc-result\"><div class=\"vc-result-label\">Specific energy increase gH<\/div><div class=\"vc-result-value\" id=\"vc-specific-energy\">\u2014<\/div><\/div>\n<div class=\"vc-result\"><div class=\"vc-result-label\">Pressure-equivalent \u03c1gH<\/div><div class=\"vc-result-value\" id=\"vc-pressure-equivalent\">\u2014<\/div><\/div>\n<div class=\"vc-result\"><div class=\"vc-result-label\">Normalized SI inputs<\/div><div class=\"vc-result-value\" id=\"vc-normalized\">\u2014<\/div><\/div>\n<\/div><div class=\"vc-warning\"><strong>Boundary warning:<\/strong> pump input power is not automatically motor nameplate or electrical input power. Driver\/drive efficiency, coupling boundary, duty\/service factor, starts, transients, derating, margin and applicable electrical\/mechanical rules are not calculated.<\/div><\/div><\/div>\n\n<section class=\"vc-section vc-open\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-title\">Equations, dimensions and scope<\/span><span class=\"vc-chevron\">\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\">\n<h3>Steady-liquid energy relation<\/h3><div class=\"vc-formula\">P<sub>w<\/sub> = \u03c1 g Q H<br>\u03b7<sub>p<\/sub> = P<sub>w<\/sub> \/ P<sub>p<\/sub><br>P<sub>p<\/sub> = P<sub>w<\/sub> \/ \u03b7<sub>p<\/sub><br>e = gH &nbsp;&nbsp;and&nbsp;&nbsp; \u0394p<sub>equiv<\/sub> = \u03c1gH<\/div>\n<p>P<sub>w<\/sub> is pump output power transferred to the liquid in watts; P<sub>p<\/sub> is pump input power at the documented complete-pump boundary; \u03c1 is liquid mass density in kg\/m\u00b3; g is acceleration in m\/s\u00b2; Q is volume flow in m\u00b3\/s; H is pump total head in metres; and \u03b7<sub>p<\/sub> is a dimensionless pump efficiency entered as percent.<\/p>\n<p>Dimensional check: (kg\/m\u00b3)(m\/s\u00b2)(m\u00b3\/s)(m) = kg\u00b7m\u00b2\/s\u00b3 = W. Also, gH has J\/kg and \u03c1gH has Pa. The pressure-equivalent output is an energy equivalence, not an assertion that a single gauge pressure equals pump total head; velocity, elevation and reference conditions belong in the total-head determination.<\/p>\n<h3>Applicability<\/h3><p>The calculation is a general reference relation for a steady, effectively incompressible liquid operating point. Q, H, \u03c1 and \u03b7<sub>p<\/sub> must be compatible values for the same pump, speed, impeller, liquid state and boundary. Viscosity can change flow, head, efficiency, NPSHR and power. Multiphase, compressible, transient, slurry and non-Newtonian cases require the applicable method and controlled data.<\/p>\n<div class=\"vc-danger\"><strong>Do not invent \u03b7<sub>p<\/sub>:<\/strong> use a controlled curve or test at the same operating point. The former generic \u201csmall\/medium\/large pump\u201d efficiency ranges were removed because pump type, size, specific speed, design and operating point matter.<\/div>\n<\/div><\/div><\/section>\n<section class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-title\">Exact conversions used by the implementation<\/span><span class=\"vc-chevron\">\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-table-wrap\"><table class=\"vc-table\"><thead><tr><th>Quantity<\/th><th>Conversion used<\/th><th>Basis<\/th><\/tr><\/thead><tbody>\n<tr><td>Flow<\/td><td>1 m\u00b3\/h = 1\/3600 m\u00b3\/s; 1 L\/s = 0.001 m\u00b3\/s; 1 U.S. gal = 0.003785411784 m\u00b3 exactly<\/td><td>SI definitions and exact U.S. liquid gallon<\/td><\/tr>\n<tr><td>Length\/head<\/td><td>1 ft = 0.3048 m exactly<\/td><td>International foot<\/td><\/tr>\n<tr><td>Mass density<\/td><td>1 lb\/ft\u00b3 = 0.45359237 \/ 0.3048\u00b3 = 16.01846337396014 kg\/m\u00b3<\/td><td>Exact avoirdupois pound and international foot<\/td><\/tr>\n<tr><td>Power display<\/td><td>1 mechanical hp (550 ft\u00b7lbf\/s) = 745.6998715822702 W<\/td><td>Exact pound\/foot definitions with conventional standard gravity<\/td><\/tr>\n<tr><td>Pressure display<\/td><td>1 psi = 6894.757293168361 Pa<\/td><td>lbf\/in\u00b2 under conventional standard gravity<\/td><\/tr>\n<\/tbody><\/table><\/div><p>Mechanical horsepower is stated explicitly because \u201chp\u201d can denote different units. The worksheet retains SI internally and only converts the displayed result.<\/p><\/div><\/div><\/section>\n<section class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-title\">Evidence, standards boundary and published check<\/span><span class=\"vc-chevron\">\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\">\n<h3>Official formula references<\/h3><p>The Hydraulic Institute\u2019s official <a href=\"https:\/\/www.pumps.org\/wp-content\/uploads\/2025\/02\/PSC-Exam-Formula-Reference-Sheet.pdf\" target=\"_blank\" rel=\"noopener\">Pump System Certification Formula Reference Sheet, Version 1<\/a> gives P<sub>w<\/sub> = QH\u03c1g\/1000 for kW with Q in m\u00b3\/s, H in m, \u03c1 in kg\/m\u00b3, and P<sub>p<\/sub> = P<sub>w<\/sub>\/\u03b7. The U.S. Department of Energy\u2019s published <a href=\"https:\/\/www.energy.gov\/sites\/default\/files\/2015\/12\/f27\/Pumps%20Test%20Procedure%20Final%20Rule.pdf\" target=\"_blank\" rel=\"noopener\">Energy Conservation Program: Test Procedure for Pumps final rule<\/a>, equation (10), independently states P<sub>u<\/sub> = \u03c1QHg using pump total head.<\/p>\n<h3>Definitions and operating-point control<\/h3><p>The Hydraulic Institute <a href=\"https:\/\/datatool.pumps.org\/introduction-definitions-references\/table-of-definitions\" target=\"_blank\" rel=\"noopener\">Data Tool definitions<\/a> define total head as liquid energy increase per unit weight, pump efficiency as output power divided by input power, pump input power at the complete-pump boundary, and rate of flow at suction conditions. Its <a href=\"https:\/\/datatool.pumps.org\/pump-fundamentals\/pump-curves.html\" target=\"_blank\" rel=\"noopener\">pump-curves guidance<\/a> shows head, efficiency and input power as functions of flow at a specified speed and warns that viscosity affects performance.<\/p>\n<h3>ISO boundary<\/h3><p><a href=\"https:\/\/www.iso.org\/standard\/41202.html\" target=\"_blank\" rel=\"noopener\">ISO 9906:2012, Edition 2<\/a> remains Published and is at close-of-review stage 90.60. It covers hydraulic performance acceptance tests for rotodynamic pumps and defined acceptance grades. This open worksheet does not reproduce its licensed procedure, tolerances, instrumentation requirements or acceptance rules; those details are <strong>NEEDS_LICENSED_SOURCE<\/strong>. The energy equation is not labelled an \u201cISO 9906 formula.\u201d<\/p>\n<h3>Published numerical check<\/h3><p>The DOE final rule publishes a water test relation in U.S. units using Q = 1,000 U.S. gal\/min, H = 100 ft and specific gravity 1.00. Its precise 3956 denominator gives 25.2780586 hp of pump output. Using the equivalent density implied by that published constant, this worksheet\u2019s SI path returns the same value; the check is retained in the independent test artifact. Ordinary tests use directly documented density and gravity rather than a rounded U.S. denominator.<\/p>\n<p>NIST <a href=\"https:\/\/www.nist.gov\/pml\/special-publication-811\/nist-guide-si-appendix-b-conversion-factors\/nist-guide-si-appendix-b8\" target=\"_blank\" rel=\"noopener\">SP 811 Appendix B.8<\/a> is the unit-conversion reference. It lists standard acceleration 9.80665 m\/s\u00b2 and conversions for the foot, U.S. gallon per minute, mass density, mechanical horsepower and psi.<\/p>\n<\/div><\/div><\/section>\n<section class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-title\">Confirmed defects removed from the former calculator<\/span><span class=\"vc-chevron\">\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-table-wrap\"><table class=\"vc-table\"><thead><tr><th>Former content or behavior<\/th><th>Problem and correction<\/th><\/tr><\/thead><tbody>\n<tr><td>Hidden g = 9.81 m\/s\u00b2<\/td><td>Gravity affects both the physical calculation and U.S. conversion conventions. The replacement requires a documented value and identifies 9.80665 only as conventional standard gravity, never as a prefilled site value.<\/td><\/tr>\n<tr><td>\u03b7 entered without a defined boundary<\/td><td>\u201cHydraulic efficiency\u201d can be confused with pump efficiency. The replacement requires \u03b7<sub>p<\/sub> = pump output power \/ pump input power at the same complete-pump boundary.<\/td><\/tr>\n<tr><td>Generic 50\u201390% efficiency ranges by pump size<\/td><td>Those ranges were not an operating-point source and could silently manufacture input power. They were removed; controlled curve\/test provenance is mandatory.<\/td><\/tr>\n<tr><td>\u201cMotor should be rated at least at calculated shaft power\u201d<\/td><td>This was an incomplete motor-selection instruction. It ignored the exact pump\/driver boundary, driver efficiency, service\/duty, starts, transients, derating and governing rules. The worksheet emits no motor size.<\/td><\/tr>\n<tr><td>\u201c10 m head \u2248 1 bar\u201d without conditions<\/td><td>Pressure equivalence depends on \u03c1 and g, while pump total head also accounts for energy terms. The output now calculates \u03c1gH and labels it pressure-equivalent only.<\/td><\/tr>\n<tr><td>Defaults, presets, auto-calculation, partial parsing and dynamic HTML<\/td><td>These produced authoritative-looking results from example, stale or partially parsed values. The page starts blank, requires provenance and confirmation, validates complete numeric strings and writes results with textContent.<\/td><\/tr>\n<\/tbody><\/table><\/div><\/div><\/div><\/section>\n<section class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-title\">FAQ<\/span><span class=\"vc-chevron\">\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\">\n<div class=\"vc-faq\"><button type=\"button\">Does this worksheet select a motor?<\/button><div>No. It estimates pump input power at the documented pump boundary. Motor\/drive efficiency, service and duty factors, starting\/transient loads, environmental derating and governing project requirements remain external.<\/div><\/div>\n<div class=\"vc-faq\"><button type=\"button\">Can static elevation replace pump total head?<\/button><div>No. Total head is the energy increase per unit weight between defined suction and discharge conditions. Static elevation may be one system component, not a universal substitute.<\/div><\/div>\n<div class=\"vc-faq\"><button type=\"button\">Why is gravity not prefilled?<\/button><div>The former calculator hid 9.81. This worksheet makes every physical input visible and controlled. If the applicable convention is standard gravity, enter the documented NIST value 9.80665 m\/s\u00b2.<\/div><\/div>\n<div class=\"vc-faq\"><button type=\"button\">Does a result prove ISO 9906 acceptance?<\/button><div>No. ISO 9906 acceptance requires its controlled test procedure, grades, tolerances and conditions. This reference arithmetic alone is not a compliance decision.<\/div><\/div>\n<\/div><\/div><\/section>\n<section class=\"vc-section\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-title\">Related calculators<\/span><span class=\"vc-chevron\">\u2304<\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\"><a href=\"\/calculators\/npsh-calculator\/\">NPSH worksheet<\/a><a href=\"\/calculators\/specific-speed-calculator\/\">Specific speed<\/a><a href=\"\/calculators\/fan-shaft-power\/\">Fan power<\/a><\/div><\/div><\/div><\/section>\n<footer class=\"vc-footer\"><p><a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> engineering reference worksheet \u00b7 revised 13 July 2026<\/p><\/footer>\n<\/div>\n<script>\n(function(){'use strict';\nvar M3H_TO_M3S=1\/3600,LS_TO_M3S=0.001,US_GAL_TO_M3=0.003785411784,FT_TO_M=0.3048,LB_TO_KG=0.45359237,IN_TO_M=0.0254,STANDARD_GRAVITY=9.80665,LBFT3_TO_KGM3=LB_TO_KG\/(FT_TO_M*FT_TO_M*FT_TO_M),LBF_TO_N=LB_TO_KG*STANDARD_GRAVITY,HP_TO_W=550*FT_TO_M*LBF_TO_N,PSI_TO_PA=LBF_TO_N\/(IN_TO_M*IN_TO_M);\nfunction parseNumber(value){var s=String(value==null?'':value).trim().replace(',','.');if(!\/^[+-]?(?:(?:\\d+(?:\\.\\d*)?)|(?:\\.\\d+))(?:[eE][+-]?\\d+)?$\/.test(s))return null;var n=Number(s);return Number.isFinite(n)?n:null}\nfunction flowToM3s(value,unit){if(!Number.isFinite(value))throw new Error('flow');if(unit==='m3h')return value*M3H_TO_M3S;if(unit==='ls')return value*LS_TO_M3S;if(unit==='gpm')return value*US_GAL_TO_M3\/60;throw new Error('flow unit')}\nfunction headToM(value,unit){if(!Number.isFinite(value))throw new Error('head');if(unit==='m')return value;if(unit==='ft')return value*FT_TO_M;throw new Error('head unit')}\nfunction densityToKgm3(value,unit){if(!Number.isFinite(value))throw new Error('density');if(unit==='kgm3')return value;if(unit==='lbft3')return value*LBFT3_TO_KGM3;throw new Error('density unit')}\nfunction pumpPowerModel(x){if(!x||![x.qM3s,x.headM,x.densityKgm3,x.gravity,x.efficiencyPct].every(Number.isFinite))throw new Error('numeric');if(x.qM3s<=0||x.headM<=0||x.densityKgm3<=0||x.gravity<=0||x.efficiencyPct<=0||x.efficiencyPct>100)throw new Error('domain');var efficiency=x.efficiencyPct\/100,outputW=x.densityKgm3*x.gravity*x.qM3s*x.headM,inputW=outputW\/efficiency,lossW=inputW-outputW,specificEnergyJkg=x.gravity*x.headM,pressureEquivalentPa=x.densityKgm3*specificEnergyJkg;if(![efficiency,outputW,inputW,lossW,specificEnergyJkg,pressureEquivalentPa].every(Number.isFinite))throw new Error('range');return{qM3s:x.qM3s,headM:x.headM,densityKgm3:x.densityKgm3,gravity:x.gravity,efficiency:efficiency,outputW:outputW,inputW:inputW,lossW:lossW,specificEnergyJkg:specificEnergyJkg,pressureEquivalentPa:pressureEquivalentPa}}\nwindow.vbmPumpPowerModel={parseNumber:parseNumber,flowToM3s:flowToM3s,headToM:headToM,densityToKgm3:densityToKgm3,pumpPowerModel:pumpPowerModel,constants:{M3H_TO_M3S:M3H_TO_M3S,LS_TO_M3S:LS_TO_M3S,US_GAL_TO_M3:US_GAL_TO_M3,FT_TO_M:FT_TO_M,LB_TO_KG:LB_TO_KG,STANDARD_GRAVITY:STANDARD_GRAVITY,LBFT3_TO_KGM3:LBFT3_TO_KGM3,HP_TO_W:HP_TO_W,PSI_TO_PA:PSI_TO_PA}};\nvar form=document.getElementById('vc-form');if(!form)return;var error=document.getElementById('vc-error'),results=document.getElementById('vc-results'),lastRecord='';\nfunction displayNumber(n,d){return n.toLocaleString('en-US',{maximumFractionDigits:d,minimumFractionDigits:0})}\nfunction powerText(w){return displayNumber(w\/1000,8)+' kW \u00b7 '+displayNumber(w,5)+' W \u00b7 '+displayNumber(w\/HP_TO_W,8)+' hp (mechanical)'}\nfunction showError(message){error.textContent=message;error.classList.add('vc-show');results.classList.remove('vc-visible')}\nfunction clearError(){error.textContent='';error.classList.remove('vc-show')}\nfunction updateLabels(){var fu=document.getElementById('vc-flow-units').value,hu=document.getElementById('vc-head-units').value,du=document.getElementById('vc-density-units').value;document.getElementById('vc-flow-hint').textContent='('+(fu==='m3h'?'m\u00b3\/h':fu==='ls'?'L\/s':'U.S. gal\/min')+')';document.getElementById('vc-head-hint').textContent='('+(hu==='m'?'m':'ft')+')';document.getElementById('vc-density-hint').textContent='('+(du==='kgm3'?'kg\/m\u00b3':'lb\/ft\u00b3')+')'}\n['vc-flow-units','vc-head-units','vc-density-units'].forEach(function(id){document.getElementById(id).addEventListener('change',updateLabels)});updateLabels();\nform.addEventListener('submit',function(event){event.preventDefault();clearError();var ids=['vc-flow','vc-head','vc-density','vc-gravity','vc-efficiency'],v={};for(var i=0;i<ids.length;i++){v[ids[i]]=parseNumber(document.getElementById(ids[i]).value);if(v[ids[i]]===null){showError('Enter a complete finite number in every numeric field. Decimal point and decimal comma are accepted.');return}}var source=document.getElementById('vc-source').value.trim();if(!source){showError('Record the controlled pump, liquid, operating point and source\/revision.');return}if(!document.getElementById('vc-confirm').checked){showError('Confirm the common operating-point, boundary and use limitations before calculating.');return}var r;try{r=pumpPowerModel({qM3s:flowToM3s(v['vc-flow'],document.getElementById('vc-flow-units').value),headM:headToM(v['vc-head'],document.getElementById('vc-head-units').value),densityKgm3:densityToKgm3(v['vc-density'],document.getElementById('vc-density-units').value),gravity:v['vc-gravity'],efficiencyPct:v['vc-efficiency']})}catch(_){showError('Use positive finite flow, total head, density and gravity, with pump efficiency greater than 0% and no more than 100%.');return}\ndocument.getElementById('vc-output-power').textContent=powerText(r.outputW);document.getElementById('vc-input-power').textContent=powerText(r.inputW);document.getElementById('vc-loss-power').textContent=powerText(r.lossW);document.getElementById('vc-specific-energy').textContent=displayNumber(r.specificEnergyJkg,9)+' J\/kg';document.getElementById('vc-pressure-equivalent').textContent=displayNumber(r.pressureEquivalentPa\/100000,9)+' bar \u00b7 '+displayNumber(r.pressureEquivalentPa\/PSI_TO_PA,9)+' psi \u00b7 '+displayNumber(r.pressureEquivalentPa,5)+' Pa';document.getElementById('vc-normalized').textContent='Q '+displayNumber(r.qM3s,12)+' m\u00b3\/s \u00b7 H '+displayNumber(r.headM,9)+' m \u00b7 \u03c1 '+displayNumber(r.densityKgm3,9)+' kg\/m\u00b3 \u00b7 g '+displayNumber(r.gravity,9)+' m\/s\u00b2 \u00b7 \u03b7 '+displayNumber(r.efficiency*100,9)+'%';document.getElementById('vc-results-basis').textContent=source;lastRecord='Pump power record\\nSource: '+source+'\\nPump output: '+powerText(r.outputW)+'\\nPump input: '+powerText(r.inputW)+'\\nDifference: '+powerText(r.lossW)+'\\nSpecific energy: '+displayNumber(r.specificEnergyJkg,9)+' J\/kg\\nPressure-equivalent: '+displayNumber(r.pressureEquivalentPa,5)+' Pa\\nNormalized: Q '+displayNumber(r.qM3s,12)+' m3\/s; H '+displayNumber(r.headM,9)+' m; density '+displayNumber(r.densityKgm3,9)+' kg\/m3; g '+displayNumber(r.gravity,9)+' m\/s2; efficiency '+displayNumber(r.efficiency*100,9)+'%.\\nReference calculation; not motor selection or ISO 9906 acceptance.';results.classList.add('vc-visible')});\ndocument.getElementById('vc-copy').addEventListener('click',function(){if(lastRecord&&navigator.clipboard&&navigator.clipboard.writeText)navigator.clipboard.writeText(lastRecord)});\ndocument.querySelectorAll('.vc-section-toggle').forEach(function(button){button.addEventListener('click',function(){var section=button.closest('.vc-section'),open=section.classList.toggle('vc-open');button.setAttribute('aria-expanded',open?'true':'false')})});document.querySelectorAll('.vc-faq button').forEach(function(button){button.addEventListener('click',function(){button.parentElement.classList.toggle('vc-open')})});\n})();\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Calculate pump output and pump input power from documented flow, total head, liquid density, gravity and pump efficiency at one controlled operating point.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100203","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/calculator\/100203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/calculator\/100203\/revisions"}],"predecessor-version":[{"id":102543,"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/calculator\/100203\/revisions\/102543"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/media?parent=100203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/categories?post=100203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/de\/wp-json\/wp\/v2\/tags?post=100203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}