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If a river has a discharge of 500 cubic meters per second and the cross-sectiona

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Question: If a river has a discharge of 500 cubic meters per second and the cross-sectional area of the river is 100 square meters, what is the velocity of the river?

Options:

  1. 2 m/s
  2. 5 m/s
  3. 10 m/s
  4. 20 m/s

Correct Answer: 5 m/s

Solution: 

Velocity = Discharge / Area = 500 m³/s / 100 m² = 5 m/s.

If a river has a discharge of 500 cubic meters per second and the cross-sectiona

Practice Questions

Q1
If a river has a discharge of 500 cubic meters per second and the cross-sectional area of the river is 100 square meters, what is the velocity of the river?
  1. 2 m/s
  2. 5 m/s
  3. 10 m/s
  4. 20 m/s

Questions & Step-by-Step Solutions

If a river has a discharge of 500 cubic meters per second and the cross-sectional area of the river is 100 square meters, 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 size of the river at a certain point, measured in square meters (m²).
  • Step 3: Identify the values given in the question: Discharge = 500 m³/s and Area = 100 m².
  • Step 4: Use the formula for velocity, which is: Velocity = Discharge / Area.
  • Step 5: Plug in the values: Velocity = 500 m³/s / 100 m².
  • Step 6: Calculate the result: 500 divided by 100 equals 5.
  • Step 7: Conclude that the velocity of the river is 5 meters per second (m/s).
  • Fluid Dynamics – Understanding the relationship between discharge, cross-sectional area, and velocity in a fluid.
  • Basic Algebra – Applying algebraic manipulation to solve for velocity using the formula: Velocity = Discharge / Area.
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