Cubic Centimeters per second to Cubic feet per hour conversion

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

Sure, I can explain the conversion process and provide examples.

Conversion Process

To convert from Cubic Centimeters per second (cm³/s) to Cubic Feet per Hour (ft³/h), we need to follow these steps:

1. Convert Cubic Centimeters to Cubic Feet:

   • 1 Cubic Foot (ft³) is equivalent to 28,316.8466 Cubic Centimeters (cm³).
   • Therefore, 1 Cubic Centimeter (cm³) is equal to $\frac{1}{28,316.8466} \approx 3.531 \times 10^{-5}$ Cubic Feet (ft³).

2. Convert Seconds to Hours:

   • 1 Hour (h) is equivalent to 3,600 Seconds (s).

3. Combine the two conversions:

   So, to convert from cm³/s to ft³/h, we use the following steps:

   $\text{1 cm³/s} = \left(3.531 \times 10^{-5} \, \text{ft³/s}\right) \times \left(3600 \, \text{s/h}\right)$

   $= 3.531 \times 3600 \times 10^{-5} \, \text{ft³/h}$

   $= 0.12716 \, \text{ft³/h}$

So, 1 Cubic Centimeter per second is equal to approximately 0.12716 Cubic Feet per Hour.

Real-World Examples

Below are some example conversions for different quantities:

1. 10 cm³/s to ft³/h:

   $10 \, \text{cm³/s} = 10 \times 0.12716 \, \text{ft³/h} = 1.2716 \, \text{ft³/h}$

2. 50 cm³/s to ft³/h:

   $50 \, \text{cm³/s} = 50 \times 0.12716 \, \text{ft³/h} = 6.358 \, \text{ft³/h}$

3. 100 cm³/s to ft³/h:

   $100 \, \text{cm³/s} = 100 \times 0.12716 \, \text{ft³/h} = 12.716 \, \text{ft³/h}$

Real-World Examples:

1. Medical IV Drip:

   • An intravenous (IV) drip could have a flow rate of around 1 cm³/s or 0.12716 ft³/h.

2. Air Conditioning Unit:

   • An air conditioning unit may have a coolant flow rate of about 10 cm³/s or 1.2716 ft³/h.

3. Industrial Applications:

   • In industrial hydraulic systems, a hydraulic fluid might flow at rates like 50 cm³/s (6.358 ft³/h) or higher.

By performing these conversions, you get an idea of how these flow rates translate into cubic feet per hour, which can be useful in situations like engineering design, HVAC systems, and fluid transport calculations.