Why Divide by Four
The one piece of arithmetic that decides every pressure tank, and the one most rules of thumb get wrong.
A pump on a pressure switch fills the tank faster than the building empties it. The pump runs until cut-out, stops, and the tank supplies the building until pressure falls to cut-in. One run plus one rest is a cycle, and the motor only tolerates so many cycles an hour.
Call the pump's capacity Q and the building's demand D. While the pump runs, the tank fills at Q − D. While it is off, the tank drains at D. So for a drawdown of V:
Cycle timeT = V ÷ (Q − D) + V ÷ D
That is shortest when demand is exactly half the pump's capacity — the pump gains the least while running and the tank empties fastest while off. Substitute D = Q÷2 and the whole thing collapses to
T = 4V ÷ Q, which rearranges to V = Q × T ÷ 4.
So the drawdown you need is the pump's capacity multiplied by the cycle time you want, divided by four. Nothing about the building's actual demand enters it, because you are sizing for the worst case rather than the average.
| Starts per hour |
Cycle time |
Drawdown per GPM of pump |
For a 100 GPM pump |
| 4 |
15 min |
3.75 gal |
375 gal |
| 6 |
10 min |
2.5 gal |
250 gal |
| 10 |
6 min |
1.5 gal |
150 gal |
| 15 |
4 min |
1.0 gal |
100 gal |
| 20 |
3 min |
0.75 gal |
75 gal |
Where the old rule comes fromWell installers have used “one gallon of drawdown per GPM of pump” for decades. Read the table: that is exactly the 15-starts-per-hour row. The rule of thumb and the physics are the same thing, and the rule works because small well motors genuinely tolerate 15 starts an hour.
From drawdown to tank size
Drawdown is the water. Tank size is the vessel, and the two are not close. The air in a bladder tank is what pushes the water out, and how much water a given pressure swing moves depends on the absolute pressures involved:
Boyle’s law, appliedUsable fraction = Pprecharge × ( 1 ÷ Pcut-in − 1 ÷ Pcut-out )
All pressures absolute — add 14.7 to each gauge reading.
On a 30/50 switch a tank gives up about 26% of its volume. On 60/80 it gives about 15%. On a commercial booster at 100/120, closer to 10%. Same tank, less than half the water, purely because the air starts more compressed.
Which is why raising a system's pressure without resizing the tank causes short-cycling that looks like a pump fault and is not.