TryBuildCalc

Pump Horsepower Calculator (20 GPM at 60 ft Lift Example)

Calculate required pump horsepower from flow rate and head.

Pump Scenario & Units

ℹ️Booster boosts an existing pressurized supply; Well/Transfer lifts from an unpressurized well, cistern, or storage tank.

ℹ️Metric converts your entries to/from US units at the boundary — the calculation and result always use US units, matching this site's Drain Pipe Slope calculator.

Required Flow Rate

ℹ️Already know your required flow rate? Enter it directly instead of building a fixture list.

ℹ️Total simultaneous flow rate the pump needs to deliver at peak demand.

Pipe & Head

ℹ️Roughness (Hazen-Williams C = 150, aged/design value) sets how much friction loss this material adds at your flow rate.

ℹ️The pipe size the pump discharges through on its way to the highest/most remote fixture.

ℹ️Full developed length from the pump to the highest/most remote fixture, including vertical runs.

ℹ️Full vertical lift from your well/cistern/tank water level up to your highest fixture.

ℹ️Pressure you want left over at the highest/most remote fixture — IPC code minimums are 8-15 psi, but 20-30+ psi is a more comfortable design target.

Pump Efficiency

ℹ️Defaults to 65%, typical for a small centrifugal pump — adjust to a specific candidate pump's published efficiency at your duty point if known.

Pressure Tank Sizing

Optionally size a hydropneumatic pressure tank's drawdown alongside the pump.

Operating Cost

Optionally estimate the pump's electricity cost from your own rate and daily run time.

🔧 Required: 20 GPM at 140.17 ft TDH

Scenario: Well / Transfer Pump · Flow rate entered directly

Comfortable margin

Flow Rate

Required Flow Rate: 20 GPM

Entered directly, not derived from a fixture list.

Total Dynamic Head Breakdown

Elevation: 60 ft

Friction Loss: 10.87 ft

10.87 ft per 100 ft of 1-1/4" pipe

Required Pressure Head: 69.3 ft (30 psi)

Total Dynamic Head: 140.17 ft

Pump Power & Motor Class

Water HP: 0.708 HP

Brake HP (Efficiency 65%): 1.089 HP

Motor-Size Class: 1.5 HP class

Pump configuration: Duplex (lead-lag alternating) recommended

Single pump feasible — this demand fits within one standard motor class.

Design Notes

Friction loss is computed directly from your pipe material, size, and run length via the Hazen-Williams equation — using conservative, aged-condition roughness values rather than optimistic new-pipe numbers.

A Well/Transfer Pump always needs to create its full head from scratch — there's no existing pressurized supply to credit against, unlike a Booster scenario.

Always confirm a shortlisted pump's actual published pump curve at this required GPM/TDH duty point — a horsepower label alone doesn't guarantee a specific pump meets this exact operating point.

Approximate results for planning only. Verify with a professional.

Well / Transfer Pump Sizing140.2 ft TDH requiredWell /SourcePump1.5 HPHighest Fixture60 ft elevation20 GPM at 140.2 ft TDH1.09 BHPDiagram simplified for clarity (not to scale)

Looking for the verification checklist, reference tables, or tips and mistakes?See the complete Water Pump / Pressure Booster Sizing Calculator.

20 GPM at a 60 ft lift horsepower example

With 20 GPM entered directly, a 60 ft lift, 10.87 ft of friction loss through 100 ft of 1-1/4" PEX, and a 30 psi (69.3 ft) required residual pressure, Total Dynamic Head comes to 140.17 ft.

Water Horsepower — the theoretical minimum for a perfect pump — is (20 × 140.17) ÷ 3960 = 0.708 HP. Dividing by the default 65% efficiency gives a real Brake Horsepower requirement of 1.089 HP, rounding up to a 1.5 HP motor class with a comfortable 37.7% margin.

  • Water HP = (20 × 140.17) ÷ 3960 = 0.708 HP.
  • Brake HP = 0.708 ÷ 0.65 = 1.089 HP.
  • Nearest motor class: 1.5 HP (comfortable margin).

How Water Pump Sizing Is Calculated

The calculation runs in six parts — friction loss, Total Dynamic Head, pump power, motor-size class, and (optionally) pressure tank sizing and operating cost.

Step 1 — Friction Loss (Hazen-Williams)

hf (ft per 100 ft) = 0.2083 × (100/C)^1.852 × Q^1.852 ÷ d^4.8655

C is the Hazen-Williams roughness coefficient for your selected pipe material (Copper 130, Galvanized Steel 100, CPVC/PEX 150 — conservative "aged pipe" design values), Q is your required flow rate in GPM, and d is the selected nominal size's actual inner diameter in inches. The result scales directly with your pipe run length.

Step 2 — Total Dynamic Head (TDH)

Booster: TDH = Elevation + Friction Loss + (Required Pressure − Available Incoming Pressure) × 2.31
Well/Transfer: TDH = Elevation + Friction Loss + Required Pressure × 2.31

2.31 converts psi to feet of head (1 psi = 2.31 ft, from water's density). For a Booster scenario, if the available incoming pressure already covers the requirement once elevation and friction are subtracted, TDH comes out to zero or less — this calculator reports "pump not needed" rather than sizing one anyway. A Well/Transfer scenario always needs a pump, since there's no existing pressurized supply to credit against.

Step 3 — Pump Power

Water HP = (Q × TDH) ÷ 3960
Brake HP = Water HP ÷ Efficiency

Water Horsepower is the theoretical minimum power for a perfect, lossless pump; Brake Horsepower divides that by your pump's actual efficiency (default 65%, typical for a small centrifugal pump) to get the real shaft power the motor must supply.

Step 4 — Motor-Size Class & Feasibility

Motor Class = smallest standard NEMA HP size ≥ Brake HP
Margin % = (Motor Class − Brake HP) ÷ Brake HP × 100

Brake Horsepower is matched against standard NEMA fractional/whole HP steps (1/3 through 20 HP) to show what to actually shop for, classified as comfortable (15-50% headroom), borderline (under 15%), or oversized(over 50%). A requirement beyond 20 HP triggers a feasibility warning and a dual-unit (parallel pumps) check rather than an extrapolated guess. A discharge-pressure check also flags if the pump would push a nearby fixture above IPC 604.8's 80 psi maximum.

Step 5 — Pressure Tank Sizing (Optional)

Check a Tank: Drawdown (gal) = Tank Volume × (P1 ÷ P2 − P1 ÷ P3)
Size a Tank: Required Tank Volume (gal) = (Flow Rate × Run Time) ÷ (P1 ÷ P2 − P1 ÷ P3)

Both directions use Boyle's Law, where P1 = precharge, P2 = cut-in, P3 = cut-out — all three converted to absolute pressure(gauge psi + 14.7) before the ratio. "Check a Tank" tells you the drawdown a candidate tank volume delivers; "Size a Tank" solves the same equation in reverse, turning a target minimum pump run time into the minimum tank volume needed, rounded up to the nearest common standard size. Skip this step by leaving Pressure Tank Sizing on "Skip" if you only need the pump sized.

Step 6 — Operating Cost (Optional)

Electrical kW = (Brake HP × 0.7457) ÷ Motor Efficiency
Daily Cost = Electrical kW × Hours per Day × Electricity Rate

Brake HP is shaft power, not electrical input power — a motor's own electrical-to-mechanical conversion is never 100%, so dividing by Motor Efficiency (default 85%, adjustable) converts shaft power to the actual power drawn at the wall. Hours per day is always a value you enter directly, never guessed from other inputs — actual daily pump run time varies too much by household and system to safely infer. Monthly and annual figures simply multiply the daily cost by 30 and 365 respectively, at the same constant daily usage.

Worked Example

This example uses the active inputs above and follows the same steps as the Formula section.

Input Values Used

InputValue
Pump ScenarioWell / Transfer Pump (From Well, Cistern, or Tank)
Required Flow RateEntered directly (20 GPM)
PipePEX (CTS), 1-1/4", 100 ft run
Elevation / Required Pressure60 ft / 30 psi

Step 1 — Friction Loss

CalculationSubstitutionResult
Friction Loss (per 100 ft)C=150, Q=20 GPM, d=1.189 in10.87 ft/100ft
Friction Loss (full run)10.87 × (100 ÷ 100)10.87 ft

Step 2 — Total Dynamic Head

CalculationSubstitutionResult
Required Pressure Head30 psi × 2.3169.3 ft
Total Dynamic Head60 + 10.87 + 69.3140.17 ft

Step 3 — Pump Power & Motor Class

CalculationSubstitutionResult
Water HP(20 × 140.17) ÷ 39600.708 HP
Brake HP0.708 ÷ 0.651.089 HP
Motor-Size ClassNearest standard class ≥ 1.089 HP1.5 HP (comfortable)

Therefore, this scenario needs a pump rated for at least 20 GPM at 140.17 ft of TDH — approximately 1.089 HP brake horsepower, closest to a 1.5 HP standard motor class (comfortable).

This does not cover suction-side sizing, NPSH, or electrical service. Cross-check against the Reference Tables in the complete Water Pump / Pressure Booster Sizing Calculator.

This page keeps things focused on the calculation above. For the full construction guide — verification checklist, reference tables, usage steps, tips, common mistakes, and limitations.See the complete Water Pump / Pressure Booster Sizing Calculator.

FAQ

Water Horsepower assumes a perfect, lossless pump, which doesn't exist — Brake Horsepower divides Water Horsepower by the pump's actual efficiency (65% here) to get the real shaft power the motor must supply. A less efficient pump (say 50%) at the same duty point would need 0.708 ÷ 0.50 = 1.416 BHP instead, likely bumping the motor class up to 1.5 HP with a much tighter margin, or even 2 HP depending on the exact figure.
Directly, since pressure converts straight to head (added to TDH) which is a direct multiplier in the horsepower formula — raising required pressure from 30 to 40 psi would add roughly 23 ft of head (10 psi × 2.31), pushing TDH from 140.17 to about 163 ft and Brake HP from 1.089 to about 1.27 HP, likely still within the 1.5 HP class.