Litres per second (l/s) to Cubic feet per hour (ft³/h) conversion

The conversion between liters per second (L/s) and cubic feet per hour (ft³/h) involves understanding the relationship between metric and imperial units of volume and time. Here’s a detailed breakdown to help you understand the conversion process.

Understanding the Conversion

Converting between L/s and ft³/h requires knowing the conversion factors between liters and cubic feet, and between seconds and hours.

Conversion Factors

• 1 liter (L) = 0.0353147 cubic feet ($ft^3$)
• 1 hour (h) = 3600 seconds (s)

Converting 1 L/s to ft³/h

To convert 1 liter per second to cubic feet per hour, you need to multiply by the appropriate conversion factors.

Step 1: Convert Liters to Cubic Feet

$$1 \, \text{L} = 0.0353147 \, \text{ft}^3$$

Step 2: Convert Seconds to Hours

$$1 \, \text{s} = \frac{1}{3600} \, \text{h}$$

Step 3: Combine the Conversions

To convert 1 L/s to ft³/h, multiply by the conversion factors:

$$1 \, \frac{\text{L}}{\text{s}} = 1 \, \frac{\text{L}}{\text{s}} \times \frac{0.0353147 \, \text{ft}^3}{1 \, \text{L}} \times \frac{3600 \, \text{s}}{1 \, \text{h}}$$

$$1 \, \frac{\text{L}}{\text{s}} = 0.0353147 \times 3600 \, \frac{\text{ft}^3}{\text{h}}$$

$$1 \, \frac{\text{L}}{\text{s}} = 127.133 \, \frac{\text{ft}^3}{\text{h}}$$

Therefore, 1 liter per second is approximately equal to 127.133 cubic feet per hour.

Converting 1 ft³/h to L/s

To convert 1 cubic foot per hour to liters per second, you need to use the reciprocal of the conversion factors.

Step 1: Convert Cubic Feet to Liters

$$1 \, \text{ft}^3 = \frac{1}{0.0353147} \, \text{L} \approx 28.3168 \, \text{L}$$

Step 2: Convert Hours to Seconds

$$1 \, \text{h} = 3600 \, \text{s}$$

Step 3: Combine the Conversions

To convert 1 ft³/h to L/s, divide by the conversion factors:

$$1 \, \frac{\text{ft}^3}{\text{h}} = 1 \, \frac{\text{ft}^3}{\text{h}} \times \frac{1 \, \text{h}}{3600 \, \text{s}} \times \frac{28.3168 \, \text{L}}{1 \, \text{ft}^3}$$

$$1 \, \frac{\text{ft}^3}{\text{h}} = \frac{28.3168}{3600} \, \frac{\text{L}}{\text{s}}$$

$$1 \, \frac{\text{ft}^3}{\text{h}} \approx 0.0078658 \, \frac{\text{L}}{\text{s}}$$

Therefore, 1 cubic foot per hour is approximately equal to 0.0078658 liters per second.

Relevance and Applications

The conversion between liters per second and cubic feet per hour is particularly useful in various fields:

• Engineering: Designing and calibrating fluid systems.
• Environmental Science: Measuring water flow rates in rivers or industrial discharge.
• HVAC: Calculating air flow in ventilation systems.
• Manufacturing: Monitoring fluid transfer rates in chemical processes.

Real-World Examples

1. Garden Hose: A garden hose might deliver water at a rate of 0.2 L/s, which is approximately 25.4 ft³/h.
2. Small Stream: A small stream might have a flow rate of 50 L/s, which is approximately 6357 ft³/h.
3. Industrial Pump: An industrial pump might transfer liquid at a rate of 100 L/s, which is approximately 12713 ft³/h.
4. HVAC System: An HVAC system could circulate air at a rate of 200 ft³/h, which is approximately 1.57 L/s.

How to Convert Litres per second to Cubic feet per hour

To convert Litres per second (l/s) to Cubic feet per hour (ft3/h), multiply the flow rate by the conversion factor between these two units. In this case, the factor is $1 \text{ l/s} = 127.13286571572 \text{ ft}^3/\text{h}$.

1. Write down the given value:
   Start with the flow rate in litres per second:

   $$25 \text{ l/s}$$

2. Use the conversion factor:
   Apply the known factor:

   $$1 \text{ l/s} = 127.13286571572 \text{ ft}^3/\text{h}$$

3. Set up the multiplication:
   Multiply the given value by the conversion factor:

   $$25 \text{ l/s} \times 127.13286571572 \frac{\text{ft}^3/\text{h}}{\text{l/s}}$$

4. Calculate the result:
   The $\text{l/s}$ units cancel, leaving cubic feet per hour:

   $$25 \times 127.13286571572 = 3178.3216428931$$

5. Result:

   $$25 \text{ Litres per second} = 3178.3216428931 \text{ Cubic feet per hour}$$

For quick conversions, keep the factor $127.13286571572$ handy whenever converting from l/s to ft3/h. Always double-check that the original unit cancels correctly in your setup.

What is the formula to convert Litres per second to Cubic feet per hour?

To convert Litres per second to Cubic feet per hour, multiply the flow rate in $l/s$ by the factor $127.13286571572$. The formula is $ft^3/h = l/s \times 127.13286571572$. This gives the equivalent volumetric flow rate in cubic feet per hour.

How many Cubic feet per hour are in 1 Litre per second?

There are exactly $127.13286571572\ ft^3/h$ in $1\ l/s$ based on the conversion factor. This is the standard value used for direct conversion between these two flow-rate units.

Why would I convert Litres per second to Cubic feet per hour?

This conversion is useful when comparing metric and imperial airflow or fluid-flow specifications. It is commonly needed in HVAC, ventilation, pump sizing, and industrial process systems where equipment data may be listed in $ft^3/h$ instead of $l/s$.

Can I use the same conversion factor for any flow value?

Yes, the same factor applies to any value because the conversion is linear. Simply multiply the number of litres per second by $127.13286571572$ to get cubic feet per hour. This works for whole numbers, decimals, and very large or small flow rates.

Is Cubic feet per hour a common unit in real-world applications?

Yes, $ft^3/h$ is used in real-world settings such as air handling, gas distribution, and equipment performance ratings. It helps express how much volume moves each hour, especially in systems designed or documented using imperial units.

Do I need to round the result when converting?

Rounding depends on the level of precision required for your application. You can use the full factor $127.13286571572$ for accuracy, then round the final $ft^3/h$ value to the number of decimal places that makes sense for your measurement or specification.