Sprinkler Head Flow Rate & Coverage Calculator
ANA›Life Services Authority›National Calculator Authority›Sprinkler Head Flow Rate & Coverage Calculator
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Sprinkler Head Flow Rate & Coverage Calculator
Calculate sprinkler head flow rate (GPM), precipitation rate (inches/hour), and coverage area for irrigation system design and water management.
Nozzle Operating Pressure (PSI)
Nozzle K-Factor (GPM/√PSI)
Manufacturer-provided constant (typical range: 0.5–10)
Throw Radius (feet)
Arc Angle (degrees)
Full circle = 360°, half circle = 180°, quarter = 90°
Number of Heads in Zone
Calculate
function sprCalc() { var pressure = parseFloat(document.getElementById('spr-nozzle-pressure').value); var kFactor = parseFloat(document.getElementById('spr-nozzle-k').value); var radius = parseFloat(document.getElementById('spr-radius').value); var arc = parseFloat(document.getElementById('spr-arc').value); var numHeads = parseInt(document.getElementById('spr-num-heads').value); var resultDiv = document.getElementById('spr-result');
// --- Validation --- var errors = []; if (isNaN(pressure) || pressure 360) errors.push("Arc angle must be between 1° and 360°."); if (isNaN(numHeads) || numHeads 0) { resultDiv.style.display = 'block'; resultDiv.innerHTML = 'Please fix the following:' + errors.map(function(e){ return ''; }).join('') + ''; return; }
// --- Core Formulas --- // 1. Flow Rate per head: Q = K × √P (GPM) var flowPerHead = kFactor * Math.sqrt(pressure);
// 2. Coverage area per head (sector of circle): A = (arc/360) × π × r² (ft²) var arcRad = (arc / 360) * Math.PI * radius * radius; // ft² var areaSqFt = arcRad; var areaSqFtAll = areaSqFt * numHeads;
// 3. Precipitation Rate: PR = (96.25 × Q) / A (in/hr) // Derived from: PR = (GPM × 96.25) / ft² // where 96.25 = 60 min/hr × 231 in³/gal / 144 in²/ft² var precipRate = (96.25 * flowPerHead) / areaSqFt;
// 4. Zone total flow var zoneFlow = flowPerHead * numHeads;
// 5. Time to apply 1 inch of water (minutes) var timeFor1Inch = 60 / precipRate;
// 6. Convert area to acres var areaAcres = areaSqFtAll / 43560;
// --- Output --- resultDiv.style.display = 'block'; resultDiv.innerHTML = '### Results ' + '' + 'ParameterValue' + 'Flow Rate per Head' + flowPerHead.toFixed(3) + ' GPM' + 'Coverage Area per Head' + areaSqFt.toFixed(1) + ' ft²' + 'Precipitation Rate' + precipRate.toFixed(3) + ' in/hr' + 'Time to Apply 1 Inch' + timeFor1Inch.toFixed(1) + ' min' + 'Zone Total Flow (' + numHeads + ' heads)' + zoneFlow.toFixed(2) + ' GPM' + 'Total Zone Coverage Area' + areaSqFtAll.toFixed(1) + ' ft² (' + areaAcres.toFixed(4) + ' acres)' + '' + 'Tip: Precipitation rates between 0.5–1.5 in/hr are ideal for most soils. Rates above 2 in/hr may cause runoff.
'; }
#### Formulas Used
1. Flow Rate per Head (Q):
Q = K × √P
2. Coverage Area per Head (A):
A = (arc° / 360°) × π × r²
3. Precipitation Rate (PR):
PR = (96.25 × Q) / A
4. Time to Apply 1 Inch of Water:
T = 60 / PR
#### Assumptions & References
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