A river's velocity is measured at 2 m/s. If the river's width is 10 m and depth

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Question: A river\'s velocity is measured at 2 m/s. If the river\'s width is 10 m and depth is 3 m, what is the discharge?

Options:

Correct Answer: 30 m³/s

Solution:

Discharge = Velocity × Area. Area = Width × Depth = 10 m × 3 m = 30 m². Discharge = 2 m/s × 30 m² = 60 m³/s.

A river's velocity is measured at 2 m/s. If the river's width is 10 m and depth is 3 m, what is the discharge?

A river's velocity is measured at 2 m/s. If the river's width is 10 m and depth is 3 m, what is the discharge?

Step 1: Identify the velocity of the river, which is given as 2 m/s.
Step 2: Identify the width of the river, which is given as 10 m.
Step 3: Identify the depth of the river, which is given as 3 m.
Step 4: Calculate the area of the river using the formula: Area = Width × Depth.
Step 5: Substitute the values into the area formula: Area = 10 m × 3 m.
Step 6: Calculate the area: Area = 30 m².
Step 7: Use the discharge formula: Discharge = Velocity × Area.
Step 8: Substitute the values into the discharge formula: Discharge = 2 m/s × 30 m².
Step 9: Calculate the discharge: Discharge = 60 m³/s.

Discharge Calculation – Discharge is calculated by multiplying the velocity of the river by the cross-sectional area (width × depth).
Area of a Rectangle – The area is determined by multiplying the width and depth of the river.