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Drawing No. EH–HH–013 // Household Engineering Tools

Well Pump Backup Runtime & Recovery Calculator

Reviewed August 2026

Find your pressure tank's real usable drawdown (not its total volume) using Boyle's Law, check pump cycling against manufacturer guidance, then estimate how long a battery backup can keep your well pump running during an outage.

Scope: Educational application of the standard Boyle's Law pressure tank drawdown formula and duty-cycle battery runtime calculations. Real household water usage is highly variable through the day, so treat the resulting runtime as a planning estimate based on your assumed average usage rate, not a guarantee.

What problem does this solve?

A pressure tank's nameplate size overstates how much usable water it actually delivers between pump cycles — most of an internal bladder tank's volume is compressed air, not water. This tool applies the real Boyle's Law physics to find actual usable drawdown, checks whether your pump cycles at a healthy rate, and then estimates how long a battery backup can keep your well supplying water during a power outage given your household's usage rate.

1. Enter pressure tank specsTotal tank volume, pre-charge pressure, and pump cut-in/cut-out pressure settings.
2. Enter pump flow rateYour well pump's actual flow rate at your system's operating pressure.
3. Check drawdown and cycle timeSee usable water per cycle and whether cycling is within a healthy range.
4. Enter usage rate and backup specsAverage household water use and battery capacity, for outage runtime.

Inputs

Pressure tank

Pump

Usage & backup

Continuous-equivalent draw, not peak fixture flow — e.g. total daily gallons ÷ 1440 minutes.
Enter positive values with cut-out greater than cut-in, and cut-in greater than pre-charge.

Results

Usable drawdown
Acceptance factor
Pump run time (at usage rate)
Time between cycles (at usage rate)
Duty cycle at this usage rate
Usable battery energy
Average power demand
Estimated backup runtime

Background

Frequently asked questions

Practical questions about inputs, assumptions and interpretation.