## How to Determine the Frequency of Irrigation

**Mathematical Problem**

Following data are given, determine the frequency of irrigation

- Field capacity of soil = 45 %
- Permanent wilting point = 19 %
- Density of soil = 1.5 g/cm
^{3} - Depth of root zone = 65 cm
- Daily consumptive use of water = 18 mm

**Solution:**

Available moisture = Field Capacity – Permanent wilting point = 45 – 19 = 26

Let readily available moisture = is 75 % of the available moisture,

So, readily available moisture is = 26 × 0.75 = 19.5 %

Optimum moisture content = 45 – 19.5 = 25.5 %

Now, by applying irrigation water the moisture content is to be raised from 25.5 % to 45 %.

Calculate the depth of water to be applied in each watering, by using the following equation:

Where,

- W
_{s}= Unit Weight of soil or density of soil = 1.5 g/cm^{3} - W
_{w}= Density of water = 1g/cm^{3} - d = Depth of root zone = 65 cm
- F
_{c}= Field capacity = 45 % - M
_{0}= Optimum moisture content = 25.5 %

After putting the all value,

cm

Now, we can calculate the frequency of irrigation by using the following equation

Where,

- f
_{w}= Frequency of watering or frequency of irrigation - C
_{u}= Daily consumptive use of water = - D
_{w}= Depth of water to be applied in each watering

After puting the all value, the frequency of irrigation