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 from the NFPA 1002 pump operator standard. No login, no app. New to the math? Read the friction loss formula explained →

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.

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
18553.127.46.82.70.70.3
25096.950.012.55.01.30.5
30072.018.07.21.80.7
50050.020.05.02.0
750112.545.011.34.5
100080.020.08.0

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.

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 — 22 built-in scenarios, automatic scoring, after-action reports. Every station, any computer or tablet.

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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.

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