Volume Flow Rate Formula: Explained with Examples

📚 Quick Study Guide

• 🌊 Volume flow rate is the amount of fluid that passes through a given cross-sectional area per unit of time.
• 📏 The formula for volume flow rate (Q) is: $Q = A \cdot v$, where A is the cross-sectional area and v is the average velocity of the fluid.
• ⏱️ Volume flow rate can also be calculated as: $Q = \frac{V}{t}$, where V is the volume of the fluid and t is the time.
• 🧪 Units for volume flow rate are typically $m^3/s$ (cubic meters per second) or $L/s$ (liters per second).
• 📊 Remember to ensure all units are consistent before performing calculations.

Practice Quiz

1. A pipe has a cross-sectional area of 0.2 $m^2$. Water flows through it at an average velocity of 3 m/s. What is the volume flow rate?

   1. 0.6 $m^3/s$
   2. 1.5 $m^3/s$
   3. 6 $m^3/s$
   4. 0.06 $m^3/s$

2. If 5 $m^3$ of liquid pass through a pipe in 10 seconds, what is the volume flow rate?

   1. 0.5 $m^3/s$
   2. 2 $m^3/s$
   3. 50 $m^3/s$
   4. 15 $m^3/s$

3. A circular pipe has a diameter of 0.1 m and water flows through it at 2 m/s. What is the approximate volume flow rate?

   1. 0.0157 $m^3/s$
   2. 0.005 $m^3/s$
   3. 0.628 $m^3/s$
   4. 0.00628 $m^3/s$

4. What is the volume flow rate if 20 liters of fluid pass through a tube in 4 seconds?

   1. 5 L/s
   2. 80 L/s
   3. 16 L/s
   4. 24 L/s

5. A rectangular duct has dimensions 0.3 m x 0.4 m. Air flows through it at a velocity of 5 m/s. What is the volume flow rate?

   1. 6 $m^3/s$
   2. 0.6 $m^3/s$
   3. 0.06 $m^3/s$
   4. 1.2 $m^3/s$

6. If the volume flow rate in a pipe is 0.8 $m^3/s$ and the cross-sectional area is 0.4 $m^2$, what is the average velocity of the fluid?

   1. 2 m/s
   2. 0.32 m/s
   3. 3.2 m/s
   4. 0.5 m/s

7. A pump transfers 300 liters of water in 1 minute. What is the volume flow rate in $m^3/s$?

   1. 0.005 $m^3/s$
   2. 5 $m^3/s$
   3. 0.05 $m^3/s$
   4. 0.5 $m^3/s$