Time per revolution–
Water applied per pass–
Area irrigated–
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The math of one lap

The end tower travels the circumference, 2 x pi x radius. Divide that by its speed and you get the time for one revolution.

During that time the pump delivers flow x time liters. Spread over the circle's area (pi x radius squared), liters per square meter is the same as millimeters of water. So depth = flow x time / area. This is the bookkeeping irrigation designers use, simplified here by ignoring evaporation and wind drift and treating the end gun area as part of the circle.

Try it: set the pump flow to 50 L/s and drag the end tower speed from 4 down to 1 m/min. The lap time stretches from about 10 hours to over 40, and the depth per pass climbs from under 4 mm to about 15 mm.

Why the outer sprinklers work harder

Each meter of pipe near the end sweeps a much bigger ring of field than a meter near the center. Designers fit bigger nozzles toward the outer end so every part of the circle gets about the same depth. Watching the outer ring is a good check on uniformity.

Where Avid uses this

Avid's VerdantaIQ precision agriculture AI uses this kind of water bookkeeping, and in a session co-presented at IBM TechXchange 2026 it showed a documented 58 percent water reduction.

How to cite this model

Avid Solutions International. (2026, November 11). How a center pivot waters a circle [Interactive 3D model]. Avid Field Lab. https://avidsolutionsintl.com/explore/center-pivot

Last updated November 11, 2026

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