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Fire Hose Friction Loss Calculator

Free fire hose friction loss calculator for pump operators. Enter your hose size, flow rate, and length to get instant friction loss in PSI — using the standard IFSTA / NFA coefficient formula taught for the NFPA 1002 pump operator standard. No login, no app. New to the math? Read the friction loss formula explained →

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Friction loss — psi

Friction loss is the pressure lost to turbulence as water moves through the hose. It grows with the square of the flow rate, so flow is the dominant factor.

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How friction loss is calculated

The fire-service friction loss formula uses a coefficient for each hose diameter:

FL = C × (Q / 100)² × (L / 100)

C is the hose coefficient, Q is flow in gpm, and L is hose length in feet. Doubling the flow quadruples the friction loss; doubling the length only doubles it.

Hose friction-loss coefficients

Hose diameterCoefficient (C)
1¾″15.5
2″8.0
2½″2.0
3″0.80
4″0.20
5″0.08

Worked example

250 gpm through 200 ft of 2½″ hose (C = 2):

FL = 2.0 × (250/100)² × (200/100)
   = 2.0 × 6.25 × 2 = 25 psi

Friction loss chart

Precomputed friction loss per 100 ft of hose at common fireground flows, using the same IFSTA / NFA coefficients as the calculator. For longer lays, multiply by the number of hundred-foot sections. A printable wallet-card version is in the fire hose friction loss chart guide.

Flow (gpm)1¾″2″2½″3″4″5″
9514.07.21.80.70.20.1
12524.212.53.11.30.30.1
15034.918.04.51.80.50.2
18553.027.46.82.70.70.3
25096.950.012.55.01.30.5
300—72.018.07.21.80.7
500——50.020.05.02.0
750——112.545.011.34.5
1000———80.020.08.0

Values in psi per 100 ft. Dashes mark flows beyond the practical range for that diameter. Attack-line flows above 250 gpm on 1¾″ hose produce unmanageable friction loss — which is exactly what the chart is for.

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Frequently asked questions

How do you calculate friction loss in fire hose?
FL = C × (Q/100)² × (L/100). Look up the coefficient C for the hose diameter, square the flow-per-hundred, and multiply by the length-per-hundred.
What is the friction loss formula?
FL = C × (Q/100)² × (L/100) — the standard IFSTA / NFA fire-service formula. C is the hose coefficient, Q is flow in gpm, and L is length in feet. It is the formula every pump operator memorizes for NFPA 1002.
Why does flow matter more than length?
Flow is squared in the formula, so it has a much larger effect. Doubling the gpm quadruples friction loss, while doubling the length only doubles it.
What are the standard hose coefficients?
IFSTA / NFA values: 1¾″ = 15.5, 2″ = 8, 2½″ = 2, 3″ = 0.8, 4″ = 0.2, 5″ = 0.08.
Does friction loss include elevation or nozzle pressure?
No. Friction loss is just the hose loss. To get full pump discharge pressure, add nozzle pressure, elevation, and appliance loss — see the PDP calculator.
Worked Example

The scenario: 300 ft of 2½" hose flowing 250 GPM.

FL = C × (Q/100)² × (L/100) = 2.0 × (2.5)² × 3 = 2.0 × 6.25 × 3 = 37.5 PSI.

Now the argument for large-diameter hose in one line: the same 250 GPM through 300 ft of 5" (C = 0.08) loses just 1.5 PSI. Same water, 25× less friction — which is why supply lines are big and attack lines are maneuverable.

The formula is easy at the kitchen table. Harder at 2 a.m.

PumpForge drills these calculations into muscle memory on a realistic pump panel — 16 built-in scenarios, automatic scoring, after-action reports. Every station, any computer or tablet.

See the fire pump simulator →

Coefficients per IFSTA / NFA. For training and estimation; always verify against your department SOPs. Related tools: pump discharge pressure, smooth bore flow, and required fire flow. Friction loss math is a core skill under NFPA 1002. Keep every pump-ops formula on one page with the fireground hydraulics cheat sheet.