If the velocity of a river is 3 m/s and the width of the river is 20 m, what is
Practice Questions
Q1
If the velocity of a river is 3 m/s and the width of the river is 20 m, what is the discharge of the river?
60 m³/s
30 m³/s
20 m³/s
15 m³/s
Questions & Step-by-Step Solutions
If the velocity of a river is 3 m/s and the width of the river is 20 m, what is the discharge of the river?
Step 1: Identify the velocity of the river, which is given as 3 m/s.
Step 2: Identify the width of the river, which is given as 20 m.
Step 3: Assume the depth of the river. In this case, we will assume the depth is 1 m.
Step 4: Calculate the area of the river using the formula: Area = Width × Depth. So, Area = 20 m × 1 m = 20 m².
Step 5: Use the discharge formula: Discharge = Velocity × Area. Substitute the values: Discharge = 3 m/s × 20 m².
Step 6: Calculate the discharge: Discharge = 60 m³/s.
Discharge Calculation – Discharge is calculated using the formula Discharge = Velocity × Area, where Area is determined by the width and depth of the river.
Area Calculation – Area is calculated as the product of width and depth, which is crucial for determining discharge.
