Quarts per second to Gallons per hour conversion

How to convert quarts per second to gallons per hour?

Sure, let's go through the conversion process from quarts per second (qts/s) to gallons per hour (gal/hr).

Steps for Conversion

1. Understand the basic conversions:

   • There are 4 quarts in a gallon.
   • There are 3600 seconds in an hour.

2. Convert quarts per second to quarts per hour:

   • Multiply by the number of seconds in an hour (3600).
   • $1 \, \text{qts/s} \times 3600 \, \text{s/hr} = 3600 \, \text{qts/hr}$.

3. Convert quarts per hour to gallons per hour:

   • Divide the quarts per hour by the number of quarts per gallon (4).
   • $3600 \, \text{qts/hr} \div 4 \, \text{qts/gal} = 900 \, \text{gal/hr}$.

So, $1 \, \text{qts/s}$ is equivalent to $900 \, \text{gal/hr}$.

Real-World Examples for Other Quantities

Example 1: 2 Quarts per Second

• Convert to gallons per hour:
  • $2 \, \text{qts/s} \times 3600 \, \text{s/hr} = 7200 \, \text{qts/hr}$.
  • $7200 \, \text{qts/hr} \div 4 \, \text{qts/gal} = 1800 \, \text{gal/hr}$.

Example 2: 0.5 Quarts per Second

• Convert to gallons per hour:
  • $0.5 \, \text{qts/s} \times 3600 \, \text{s/hr} = 1800 \, \text{qts/hr}$.
  • $1800 \, \text{qts/hr} \div 4 \, \text{qts/gal} = 450 \, \text{gal/hr}$.

Example 3: 10 Quarts per Second

• Convert to gallons per hour:
  • $10 \, \text{qts/s} \times 3600 \, \text{s/hr} = 36000 \, \text{qts/hr}$.
  • $36000 \, \text{qts/hr} \div 4 \, \text{qts/gal} = 9000 \, \text{gal/hr}$.

Real-World Contexts

• Water Pumps: Industrial water pumps might be rated in these terms. For example, a fire pump might need to deliver a large volume of water quickly.
• Aquariums and Pools: High-capacity filtration systems for large aquariums or pools may need to move thousands of gallons per hour.
• Irrigation Systems: Agricultural irrigation might also be measured in large volume flows like these, particularly for large fields where a lot of water needs to be distributed efficiently.

By understanding these conversions, you can better comprehend and manage large-scale fluid systems in various real-world applications.