Determine the net depth ofirrigation required to irrigate thefield 100...
Given data:
- Length of the field (L) = 1000 m
- Width of the field (W) = 10 m
- Rate of water supply (Q) = 30000 liters/hr
- Field capacity of the soil (FC) = 27%
- Depth of root zone (Drz) = 1 m
- Specific gravity of the soil (S) = 1.35
- Irrigation is started when 50% of the available moisture has been used
Calculating the volume of water required:
The volume of water required to irrigate the field can be calculated using the following formula:
V = L x W x d
Where,
V = Volume of water required (in liters)
L = Length of the field (in meters)
W = Width of the field (in meters)
d = Net depth of irrigation required (in meters)
Converting the rate of water supply from liters/hr to cubic meters/hr:
Q = 30000 liters/hr = 30 cubic meters/hr
Calculating the available moisture:
The available moisture can be calculated using the field capacity of the soil:
Available Moisture = FC x Drz
Substituting the given values:
Available Moisture = 27% x 1 m = 0.27 m
Calculating the depth of moisture used:
The depth of moisture used can be calculated as 50% of the available moisture:
Depth of Moisture Used = 50% x Available Moisture
Substituting the given values:
Depth of Moisture Used = 50% x 0.27 m = 0.135 m
Calculating the net depth of irrigation required:
The net depth of irrigation required can be calculated as the difference between the depth of moisture used and the depth of root zone:
Net Depth of Irrigation Required = Depth of Moisture Used - Drz
Substituting the given values:
Net Depth of Irrigation Required = 0.135 m - 1 m = -0.865 m
Since the net depth of irrigation cannot be negative, we can assume it to be zero.
Converting the volume of water required to millimeters:
To convert the volume of water required from cubic meters to millimeters, we can use the following conversion factor:
1 cubic meter = 1000 liters = 1000000 millimeters
Converting the volume of water required:
V = 30 cubic meters/hr x 1000000 millimeters/cubic meter
V = 30,000,000 millimeters/hr
Calculating the time required to irrigate the field:
The time required to irrigate the field can be calculated using the following formula:
Time = Volume of water required / Rate of water supply
Substituting the given values:
Time = 30,000,000 millimeters / 30 cubic meters/hr
Time = 1,000,000 millimeters / 1 cubic meter/hr
Calculating the net depth of irrigation required:
The net depth of irrigation required can be calculated using the following formula:
Net Depth of Irrigation Required = Time / Length of the field
Substituting the given values:
Net Depth of Irrigation Required = 1,000,000 millimeters / 1000 m
Net Depth of Irrigation Required