If a river has a discharge of 500 m³/s and the cross-sectional area of the river

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Question: If a river has a discharge of 500 m³/s and the cross-sectional area of the river is 25 m², what is the velocity of the river?

Options:

Correct Answer: 5 m/s

Solution:

Velocity = Discharge / Area = 500 m³/s / 25 m² = 20 m/s.

If a river has a discharge of 500 m³/s and the cross-sectional area of the river is 25 m², what is the velocity of the river?

If a river has a discharge of 500 m³/s and the cross-sectional area of the river is 25 m², what is the velocity of the river?

Step 1: Understand the terms. Discharge is the amount of water flowing in the river per second, measured in cubic meters per second (m³/s).
Step 2: Know that the cross-sectional area is the width of the river multiplied by its depth, measured in square meters (m²).
Step 3: The formula to find the velocity of the river is: Velocity = Discharge / Area.
Step 4: Plug in the values. The discharge is 500 m³/s and the area is 25 m².
Step 5: Calculate the velocity: 500 m³/s divided by 25 m² equals 20 m/s.
Step 6: Conclude that the velocity of the river is 20 meters per second.

Fluid Dynamics – The relationship between discharge, cross-sectional area, and velocity in a fluid flow.
Basic Algebra – Applying algebraic manipulation to solve for velocity using the formula: Velocity = Discharge / Area.