Question Bank • QB_SWCE_EXP_086 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Hydrology

Subtopic: Hydrological cycle and measurement of its components

Question Statement:

In Thiessen polygon method for calculating average rainfall over a watershed, three polygons have areas of $40\text{ km}^2$, $35\text{ km}^2$, and $25\text{ km}^2$ with recorded station rainfalls of $80\text{ mm}$, $60\text{ mm}$, and $50\text{ mm}$ respectively. Calculate the weighted average precipitation over the watershed in $\text{mm}$.

Answer Key:

65.5

Step-by-Step Solution & Explanation

Total area $A = 40 + 35 + 25 = 100\text{ km}^2$. Weighted precipitation: $\bar{P} = \frac{(40 \times 80) + (35 \times 60) + (25 \times 50)}{100} = \frac{3200 + 2100 + 1250}{100} = \frac{6550}{100} = 65.5\text{ mm}$
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