Sprinkler Irrigation Calculator
A sprinkler discharging 0.5 L/s on a 12 × 18 m grid applies water at 8.33333 mm/h.
8.33333333333333 mm/h
Full answer, then cut to fewer decimals (not rounded):
- 8.33333333333333 mm/h
- 8.3333333333333 mm/h
- 8.333333333333 mm/h
- 8.33333333333 mm/h
- 8.3333333333 mm/h
- 8.333333333 mm/h
- 8.33333333 mm/h
- 8.3333333 mm/h
- 8.333333 mm/h
- 8.33333 mm/h
- 8.3333 mm/h
- 8.333 mm/h
- 8.33 mm/h
- 8.3 mm/h
- Area per sprinkler
- 216 m²
Step-by-step solution
- I = 3600 q / (S_l × S_m) = 3600 × 0.5 ÷ (12 × 18) = 8.333333333 mm/h
Sprinkler Irrigation Formula
I = 3600 q / (S_l S_m)
CU = 100(1 − Σ|x − x̄| / (n x̄)); q in L/s, spacings in m
Worked Example
A 0.5 L/s sprinkler on a 12 × 18 m grid:
- I = 3600 q / (S_l × S_m) = 3600 × 0.5 ÷ (12 × 18) = 8.333333333 mm/h
GATE tip
1 L/s over 1 m² is 3600 mm/h: that is where the 3600 comes from.
More Irrigation and Drainage Engineering Calculators
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Irrigation Requirement Calculator
d_net = (FC − PWP) ρb D × MAD
d_gross = d_net/η; interval = d_net/ETc; ETc = Kc ET₀
Example: A loam (FC 28 %, PWP 14 %, ρb 1.4) with a 0.6 m root zone, 50 % depletion and ETc 5.5 mm/day: Net irrigation depth = 58.8 mm.
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Drain Spacing Calculator
L² = (8K₂ d h + 4K₁ h²) / q
d equivalent depth, h water-table height midway, q drainage coefficient
Example: K = 0.5 m/day above and below drains, h = 0.6 m, d = 2 m and q = 5 mm/day: Drain spacing L = 33.2265 m.
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Evapotranspiration Calculator
ET₀ = p (0.46 T + 8.13)
Hargreaves: ET₀ = 0.0023 Ra (T_mean + 17.8)√(Tmax − Tmin); ETc = Kc ET₀
Example: A month with a mean temperature of 25 °C and p = 0.27: Reference evapotranspiration ET₀ = 5.3001 mm/day.
Frequently asked questions
What CU is acceptable?
At least 84 % for high-value crops and about 75 % for field crops.
Why compare the rate with infiltration?
If the application rate exceeds the soil’s basic infiltration rate, water ponds and runs off.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
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APA
Scientific Converters. (2026, October 15). Sprinkler Irrigation Calculator. Retrieved October 29, 2026, from https://scientificconverters.com/calculators/sprinkler-irrigation-calculator/
IEEE
Scientific Converters, "Sprinkler Irrigation Calculator," scientificconverters.com. Accessed: Oct. 29, 2026. [Online]. Available: https://scientificconverters.com/calculators/sprinkler-irrigation-calculator/