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A sprinkler irrigation system has been designed for a crop with the water application rate of 1.17 cm h-1 and sprinkler discharge of 1.3 L s-1. The coefficient of discharge and uniformity coefficient are 0.9 and 0.8, respectively. If the sprinkler spacing along the lateral is 20 m, the lateral spacing in m is

  • A.14.4
  • B.16.0
  • C.18.0
  • D.20.0

Answer: D

The lateral spacing is 20.0 m.

A sprinkler's application rate is its discharge spread over the area it serves, sprinkler spacing times lateral spacing:

\[ \begin{aligned} q &= 1.3\ \text{L/s} = 4.68\ \text{m}^{3}/\text{h} \\ S_{l} S_{m} &= \frac{q}{I} = \frac{4.68}{0.0117} = 400\ \text{m}^{2} \\ S_{m} &= \frac{400}{20} = 20\ \text{m} \end{aligned} \]

The discharge given is already the actual sprinkler discharge, so the key does not apply the coefficient of discharge or the uniformity coefficient again. The distractors come from doing so: multiplying the area by 0.9 gives 18.0 m, by 0.8 gives 16.0 m, and by both (0.72) gives 14.4 m.

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