Irrigation Pivot Sizing Calculator
Pivot length from field radius and water source.
About this calculator
This calculator sizes a center-pivot irrigation system starting from field geometry: it treats your entered field length as the shorter dimension of the field and takes half of it as the pivot's radius (a standard quarter-section field is 2,640 feet on a side, giving a 1,320-foot pivot reach), then computes the circular irrigated area with the simple πr² formula, converting square feet to acres by dividing by 43,560. From there it figures out the gross water application needed per day by dividing your peak crop evapotranspiration rate by application efficiency — since not all water applied reaches the crop root zone (spray systems typically run 80-88% efficient, LEPA drop-tube systems 90-98%), you have to apply more than the crop strictly needs to make up for losses. That gross application rate, combined with the irrigated acreage and your daily system run time, feeds the required flow rate in gallons per minute using the standard acre-inch-to-GPM conversion factor of 452.6.
Separately, the calculator computes how long one full 360-degree rotation takes based on the outer tower's travel speed, and divides the pivot's radius evenly across your specified number of spans to get individual span length. It tacks on an assumed 5% bonus area for an end gun (a booster nozzle that throws water past the pivot's wheel track into the field corners) and reports total coverage as a percentage of a standard 160-acre quarter section. Because peak ET, efficiency, and soil water-holding capacity all vary by crop, region, and system type, use these figures as a starting design point to refine with a irrigation engineer or dealer, not a final system spec.
Inputs
Results
Irrigated area (acres)
125.7
How to Use This Calculator
- Enter Field Length (ft) — the shorter dimension; pivot radius is half this (a quarter section = 2,640 ft).
- Set Peak ET (in/day) for your crop at peak demand (corn peak: 0.25–0.35 in/day).
- Enter System Run Time (hrs/day), Application Efficiency (%), and Number of Spans.
- Set Outer Tower Speed (ft/min) — slower speeds apply more water per pass.
- Review Irrigated Acres, Required Flow (GPM), Rotation Time (hours), and Coverage % of Quarter Section.
How the result changes with Field length (ft)
| Field length (ft) | Irrigated area (acres) |
|---|---|
| 1,320 | 31.4 |
| 1,980 | 70.7 |
| 3,960 | 282.7 |
| 6,600 | 785.4 |
What each input means
- Field length (ft)
- Shorter dimension of the field in feet. Pivot radius is half this. A quarter section is 2,640 ft.
- Peak ET (in/day)
- Peak evapotranspiration rate in inches per day. Corn peak: 0.25-0.35 in/day.
- System run time (hrs/day)
- Hours per day the pivot system operates.
- Application efficiency (%)
- Water application efficiency. LEPA: 90-98%, spray: 80-88%, impact: 75-85%.
- Outer tower speed (ft/min)
- Speed of the outermost tower in feet per minute.
- Number of spans
- Number of pivot spans (towers). Standard pivots have 5-9 spans.
What each result means
- Irrigated area (acres)
- Circular area covered by the pivot in acres.
- Required flow (GPM)
- System flow rate in gallons per minute to meet peak crop water demand.
- Rotation time (hours)
- Time for one complete 360° revolution at the set speed.
- Span length (ft)
- Length of each individual pivot span.
- Total coverage w/ end gun
- Total irrigated acres including estimated end-gun bonus area.
- % of quarter section
- Percentage of a standard 160-acre quarter section covered.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersField length (ft) = 2640, Peak ET (in/day) = 0.3, System run time (hrs/day) = 20, Application efficiency (%) = 85 = 6 input(s) provided
- Calculate Irrigated areaIrrigated area = areaFt2 / 43560125.7 = 125.7
- Calculate Required flowRequired flow = (areaAcres * grossAppInDay * 452.6) / systemRunHrs1004 = 1004
- Calculate Rotation timeRotation time = outerCircumference / (pivotSpeedFtMin * 60)23 = 23
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does the calculator treat my entered field length as the pivot radius rather than the pivot's full reach?
A center pivot rotates around a fixed point in the middle of the field, so its reach in any one direction is only half the field's shorter dimension — the calculator takes your field length as that shorter side and divides it by 2 to get the radius. A standard quarter-section field is 2,640 feet on a side, which is why the default gives a 1,320-foot pivot radius.
Why does application efficiency increase the required flow rate instead of decreasing it?
Application efficiency represents the fraction of water that actually reaches and stays in the crop root zone — the rest is lost to evaporation, wind drift, or runoff — so the calculator divides your peak crop water need by efficiency to get the gross amount you must actually pump. A lower efficiency (like an impact sprinkler at 75-85%) means you have to apply more gross water to deliver the same net amount to the crop, which raises the required system flow rate (GPM), not lowers it.
What determines rotation time, and why does it matter beyond just 'how long is a lap'?
Rotation time is the outer tower's full-circle travel distance (2π × radius) divided by its travel speed, and it directly sets how much water gets applied per pass — a slower rotation means more time under each part of the pivot's sprinklers, so lower travel speeds apply a deeper watering per revolution while faster speeds apply a shallower amount more frequently. This is why the tool ties outer tower speed to application depth per revolution rather than treating them as independent settings.
Why does the calculator add a 5% end-gun bonus, and is it always applicable?
An end gun is a booster nozzle on the outer end of the pivot that throws water beyond the wheel track's circular reach into the field's corners, and the calculator assumes it adds roughly 5% more irrigated area on top of the basic circular coverage. This is only relevant if your system actually has an end gun installed — if it doesn't, the total coverage and percentage-of-quarter-section figures will be modestly overstated for your real setup.
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