Irrigation Calculation Using Water in a Canal with Variable Parameters

In this article, we will go through the process of calculating the irrigation area that can be covered with water from a canal under specific conditions. This involves understanding the flow rate of water in the canal, the required standing water depth, and the time period over which the irrigation takes place.

Irrigation Water Flow Parameters

The given canal is 6 meters wide and 1.5 meters deep. Water is flowing at a speed of 10 km/h. We need to determine how much area it can irrigate in 30 minutes using a depth of 8 cm of standing water.

Calculating the Volume of Water Flown in a Given Time

First, we will calculate the volume of water flowing per hour. The formula for the volume of water flown can be determined by the equation:

Volume of water per hour Width of canal times; Depth of canal times; Speed of water flow times; Time (in hours)

The width of the canal is 6 meters, and the depth is 1.5 meters. The speed of water flow is 10 km/h, which is equivalent to:

Speed 10 km/h 10,000 m/h

Now, substituting the values into the formula:

Volume of water per hour 6 m times; 1.5 m times; 10,000 m/h 90,000 cubic meters/hour

To find the volume of water flown in 30 minutes (which is 0.5 hours), we use the following calculation:

Volume of water flown in 30 minutes 90,000 cubic meters/hour times; 0.5 hours 45,000 cubic meters

Calculating the Area of Irrigated Land

Given the standing water depth is 8 cm, we need to convert this to meters for the calculation:

Standing water depth 8 cm 0.08 meters

The area of irrigated land can be calculated using the formula:

Area of irrigated land Volume of water flown / Standing water depth

Substituting the values:

Area of irrigated land 45,000 cubic meters / 0.08 meters 562,500 square meters

To convert this to hectares, we use the conversion factor 1 hectare 10,000 square meters:

Area of irrigated land 562,500 square meters / 10,000 56.25 hectares

Conclusion

In conclusion, if a canal with a width of 6 meters and a depth of 1.5 meters, flowing at a speed of 10 km/h, is used to irrigate land, it can irrigate an area of 56.25 hectares in 30 minutes using a standing water depth of 8 cm. This calculation demonstrates the importance of understanding the flow rate, canal dimensions, and required standing water depth for effective irrigation.