Training-Math Calculators

Every calculator shows its formula and works the steps with your numbers — the goal is the mental model, not just the answer. No account required.

Pressure & flow

What the pump needs to make, and what the line is really flowing.

Friction Loss

FL = C × Q² × L — how much pressure the hose eats, with the 7-11-15 shortcut compared against the formula.

PDP Builder

Build a pump discharge pressure target step by step: nozzle pressure + friction loss + appliances + elevation.

Reverse Flow

Work backwards: given the PDP you're pumping, estimate what the line is actually flowing — and what the nozzle is really getting.

Nozzle Flow & Reaction

GPM from a smooth-bore tip and the reaction force on the line — why bigger tips and higher pressures fight back.

Relay Pumping

Pump friction loss plus an intake floor — what the source engine must supply, and how many pumpers a long relay needs.

Standpipe / High-Rise

FDC pressure planning: nozzle, attack hose, system allowance, and a floor's worth of elevation per level.

Split Lay (Gated Wye)

One supply line feeding two attack lines — the thirstier branch sets the pump, the other gets gated down.

Foam Eductor Check

Go/no-go parameter checklist for an in-line eductor — back pressure is the silent foam killer.

Water supply

Where the water comes from — and how long it lasts.

Fire Flow (NFA & Iowa)

How much water does the building need? The two classic pre-planning estimates, side by side.

Hydrant Available Water

Read static vs. residual pressure and estimate how many more lines the hydrant can support.

Tank Duration

How long the booster tank lasts at your current total flow.

Tanker Shuttle

Sustained shuttle flow from cycle time, and how many tankers a target flow really takes.

Drafting & Lift

Atmospheric pressure sets the ceiling — max lift by altitude with a practical-limit check.

Reference & print

Laminated cards and drills to take to the rig.