Cubic feet per hour to Cubic Centimeters per second conversion

How to convert cubic feet per hour to cubic centimeters per second?

To convert cubic feet per hour (ft³/hr) to cubic centimeters per second (cm³/s), you need to follow these steps:

1. Convert cubic feet to cubic centimeters: 1 cubic foot (ft³) is equal to 28,316.8466 cubic centimeters (cm³).

2. Convert hours to seconds: 1 hour is equal to 3600 seconds.

Using these conversion factors, you can set up the calculation as follows:

$\text{Cubic feet per hour} \times \frac{28,316.8466 \, \text{cm}^3}{1 \, \text{ft}^3} \div \frac{3600 \, \text{s}}{1 \, \text{hr}}$

So, for 1 cubic foot per hour (ft³/hr):

$1 \, \text{ft}^3/\text{hr} \times \frac{28,316.8466 \, \text{cm}^3}{1 \, \text{ft}^3} \div \frac{3600 \, \text{s}}{1 \, \text{hr}} = \frac{28,316.8466 \, \text{cm}^3}{3600 \, \text{s}} \approx 7.8658 \, \text{cm}^3/\text{s}$

Real-World Examples

1. Residential Water Flow:

   • Example Quantity: 10 ft³/hr
   • Conversion: $10 \, \text{ft}^3/\text{hr} \times \frac{28,316.8466 \, \text{cm}^3}{1 \, \text{ft}^3} \div 3600 \approx 78.658 \, \text{cm}^3/\text{s}$

2. Gas Flow in HVAC Systems:

   • Example Quantity: 100 ft³/hr
   • Conversion: $100 \, \text{ft}^3/\text{hr} \times \frac{28,316.8466 \, \text{cm}^3}{1 \, \text{ft}^3} \div 3600 \approx 786.58 \, \text{cm}^3/\text{s}$

3. Industrial Air Handling Systems:

   • Example Quantity: 1,000 ft³/hr
   • Conversion: $1,000 \, \text{ft}^3/\text{hr} \times \frac{28,316.8466 \, \text{cm}^3}{1 \, \text{ft}^3} \div 3600 \approx 7,865.8 \, \text{cm}^3/\text{s}$

4. Water Treatment Plants:

   • Example Quantity: 5,000 ft³/hr
   • Conversion: $5,000 \, \text{ft}^3/\text{hr} \times \frac{28,316.8466 \, \text{cm}^3}{1 \, \text{ft}^3} \div 3600 \approx 39,329 \, \text{cm}^3/\text{s}$

By converting these quantities from cubic feet per hour to cubic centimeters per second, you can better understand and compare the flow rates in different units, which may be more suitable for particular engineering applications and contexts.