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.
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.
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.
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.
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.
Pump Chart Generator
Build the laminated card for your panel: your preconnects at their real lengths and coefficients — answers only, color-coded, printable.
Foam Eductor Check
Go/no-go parameter checklist for an in-line eductor — back pressure is the silent foam killer.