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?
2 m/s
5 m/s
10 m/s
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.
