Manual calculations for converting units can help provide a better understanding of measurement relationships. When working with a value such as 5.09 Hundred-Cubic Foot/Hour (HCFH) and converting it into Gallon (UK)/Second, it’s essential to follow a step-by-step process while understanding the units involved. Let’s break this down manually and calculate the conversion.
Understanding the Units
Hundred-Cubic Foot/Hour (HCFH):
This unit refers to the flow rate of a gas or liquid where 100 cubic feet of the substance passes in one hour. Since we are dealing with “Hundred-Cubic Feet,” the total volume is scaled by a factor of 100.
Gallon (UK)/Second:
This is a flow rate that indicates how many UK gallons pass per second. One UK gallon is equivalent to 4.54609 liters or 0.160544 cubic feet.
Conversion Process
To perform the conversion manually, you need to follow these steps:
- Express 5.09 Hundred-Cubic Feet in Cubic Feet:
Since the given rate is in “hundreds” of cubic feet, multiply the value by 100 to convert it to cubic feet per hour (CFH).5.09×100=509 CFH5.09 \times 100 = 509 \, \text{CFH}5.09×100=509CFH - Convert Cubic Feet/Hour to Cubic Feet/Second:
There are 3600 seconds in an hour, so divide the value by 3600 to determine the flow rate in cubic feet per second (CFS).CFS=5093600≈0.14139 CFS\text{CFS} = \frac{509}{3600} \approx 0.14139 \, \text{CFS}CFS=3600509≈0.14139CFS - Convert Cubic Feet/Second to UK Gallons/Second:
Each cubic foot equals 6.22883545 UK gallons. To find the flow rate in UK gallons/second, multiply the CFS value by this conversion factor:UK Gallons/Second=0.14139×6.22883545≈0.881 UK Gallons/Second\text{UK Gallons/Second} = 0.14139 \times 6.22883545 \approx 0.881 \, \text{UK Gallons/Second}UK Gallons/Second=0.14139×6.22883545≈0.881UK Gallons/Second
Final Answer
After following the manual steps, the flow rate of 5.09 Hundred-Cubic Foot/Hour converts to approximately 0.881 UK Gallons/Second.
Verifying the Calculation
For accuracy, let’s verify by recalculating each step:
- Step 1: Convert to cubic feet: 5.09×100=5095.09 \times 100 = 5095.09×100=509 cubic feet/hour.
- Step 2: Convert to cubic feet/second: 5093600≈0.14139\frac{509}{3600} \approx 0.141393600509≈0.14139.
- Step 3: Convert to UK gallons/second: 0.14139×6.22883545≈0.8810.14139 \times 6.22883545 \approx 0.8810.14139×6.22883545≈0.881.
The calculations confirm that the result is consistent and accurate.
Practical Applications
This conversion process is useful in various industries such as:
- Natural Gas Measurement: Often measured in cubic feet/hour, natural gas companies may need conversions for smaller flow rates.
- Water Flow Systems: Converting flow rates between different unit systems helps in engineering design.
- Fluid Dynamics: Understanding conversions allows professionals to assess flow behavior in different systems accurately.
By mastering these manual calculations, professionals can work confidently with data even when automated tools are unavailable.