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?

Practice Questions

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60 m³/s
30 m³/s
20 m³/s
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Questions & Step-by-step Solutions

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Q: 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?

Solution: Discharge = Velocity × Area. Area = Width × Depth. Assuming depth = 1 m, Area = 20 m × 1 m = 20 m². Discharge = 3 m/s × 20 m² = 60 m³/s.

Steps: 6

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.

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?

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