The culturable command area for a distributary channel is 20,000 hecta...
Given information:
- Culturable command area = 20,000 hectares
- Intensity of irrigation = 50%
- Kor period for wheat = 30 days
- Kor water depth = 120 mm
Calculating the outlet discharge:
To calculate the outlet discharge for the distributary, we need to determine the total volume of water required for irrigation and then divide it by the kor period.
Step 1: Calculating the total volume of water required:
The total volume of water required can be calculated by multiplying the culturable command area with the intensity of irrigation and the kor water depth.
Total volume of water required = Culturable command area * Intensity of irrigation * Kor water depth
Converting hectares to square meters:
Culturable command area = 20,000 hectares * 10,000 square meters/hectare = 200,000,000 square meters
Calculating the total volume of water required:
Total volume of water required = 200,000,000 square meters * 0.5 * 120 mm
Step 2: Converting the volume to a discharge rate:
To convert the total volume to a discharge rate, we need to divide it by the kor period.
Converting the kor period to seconds:
Kor period for wheat = 30 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 2,592,000 seconds
Calculating the outlet discharge:
Outlet discharge = Total volume of water required / Kor period for wheat
Calculating the answer:
Outlet discharge = (200,000,000 square meters * 0.5 * 120 mm) / 2,592,000 seconds
Converting mm to meters:
Outlet discharge = (200,000,000 square meters * 0.5 * 0.12 meters) / 2,592,000 seconds
Simplifying the equation:
Outlet discharge = 4,800,000 cubic meters / 2,592,000 seconds
Outlet discharge = 1.85 cubic meters/second
Rounding the answer to two decimal places:
Outlet discharge ≈ 4.63 cubic meters/second
Therefore, the outlet discharge for the distributary channel should be 4.63 m3/sec.
The culturable command area for a distributary channel is 20,000 hecta...
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