Litres per hour (l/h) to Cubic inches per second (in³/s) conversion

Here's a guide to converting between Litres per hour (L/h) and Cubic inches per second (in³/s)

Understanding the Conversion

Converting Litres per hour to Cubic inches per second involves understanding the relationship between these units of volume and time. The key is using the appropriate conversion factors

Conversion Factors

• 1 Litre (L) = 61.0237 Cubic inches (in³)
• 1 hour = 3600 seconds

Converting Litres per hour to Cubic inches per second

To convert from L/h to in³/s, use the following formula:

$$\text{in³/s} = \text{L/h} \times \frac{61.0237 \text{ in³}}{1 \text{ L}} \times \frac{1 \text{ h}}{3600 \text{ s}}$$

Step-by-step conversion of 1 L/h to in³/s:

1. Multiply 1 L/h by the conversion factor:

   $$1 \frac{\text{L}}{\text{h}} \times \frac{61.0237 \text{ in³}}{1 \text{ L}} \times \frac{1 \text{ h}}{3600 \text{ s}}$$

2. Calculate the result:

   $$\frac{61.0237}{3600} \frac{\text{in³}}{\text{s}} \approx 0.01695 \frac{\text{in³}}{\text{s}}$$

Therefore, 1 L/h is approximately equal to 0.01695 in³/s.

Converting Cubic inches per second to Litres per hour

To convert from in³/s to L/h, use the reciprocal of the conversion factor:

$$\text{L/h} = \text{in³/s} \times \frac{1 \text{ L}}{61.0237 \text{ in³}} \times \frac{3600 \text{ s}}{1 \text{ h}}$$

Step-by-step conversion of 1 in³/s to L/h:

1. Multiply 1 in³/s by the conversion factor:

   $$1 \frac{\text{in³}}{\text{s}} \times \frac{1 \text{ L}}{61.0237 \text{ in³}} \times \frac{3600 \text{ s}}{1 \text{ h}}$$

2. Calculate the result:

   $$\frac{3600}{61.0237} \frac{\text{L}}{\text{h}} \approx 59.0 \frac{\text{L}}{\text{h}}$$

Therefore, 1 in³/s is approximately equal to 59.0 L/h.

Real-world examples

Here are some examples where converting between L/h and in³/s might be useful:

1. Automotive Engineering: Fuel injector flow rates are often specified in L/h, while engine displacement and cylinder volumes might be calculated in cubic inches. Converting between these units helps engineers match fuel delivery to engine requirements.
2. HVAC Systems: Condensate drainage from air conditioning units can be measured in L/h. Plumbing specifications might use cubic inches for drain pipe sizing.
3. Manufacturing Processes: Dispensing systems for adhesives, coatings, or chemicals may need precise flow control. Litres per hour can be converted to in³/s to match the requirements of smaller-scale equipment or processes.
4. Medical Equipment: Infusion pumps deliver fluids at very low rates. While often measured in mL/h, converting to in³/s can be useful for very precise calculations or when interfacing with equipment from different regions.
5. 3D Printing: Flow rates of resin in resin-based 3D printers can be modeled using either L/h or in³/s.

How to Convert Litres per hour to Cubic inches per second

To convert Litres per hour to Cubic inches per second, multiply the flow rate by the conversion factor between these two units. For this conversion, use $1 \text{ l/h} = 0.01695111815945 \text{ in}^3/\text{s}$.

1. Write down the given value:
   Start with the flow rate in Litres per hour:

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

2. Use the conversion factor:
   Apply the factor that converts Litres per hour to Cubic inches per second:

   $$1 \text{ l/h} = 0.01695111815945 \text{ in}^3/\text{s}$$

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

   $$25 \times 0.01695111815945$$

4. Calculate the result:
   Perform the multiplication:

   $$25 \times 0.01695111815945 = 0.4237779539863$$

5. Result:

   $$25 \text{ Litres per hour} = 0.4237779539863 \text{ Cubic inches per second}$$

For quick conversions, keep the factor $0.01695111815945$ handy whenever converting from l/h to in$^3$/s. If you need to convert many values, multiplying each one by the same factor will save time.

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

To convert Litres per hour to Cubic inches per second, multiply the flow value in $l/h$ by the verified factor $0.01695111815945$. The formula is $in^3/s = l/h \times 0.01695111815945$. This gives the equivalent flow rate in Cubic inches per second.

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

There are $0.01695111815945\ in^3/s$ in $1\ l/h$. This is the verified one-to-one conversion factor for the page. You can use it directly for quick conversions.

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

This conversion is useful when comparing metric flow rates with equipment or specifications that use U.S. customary units. It often appears in automotive systems, fluid testing, pumps, and small-engine applications. Converting to $in^3/s$ helps match the unit format used in technical documents and component datasheets.

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

Yes, the same factor applies to any value measured in Litres per hour. Multiply the given $l/h$ value by $0.01695111815945$ to get $in^3/s$. Because this is a linear unit conversion, the factor does not change with the size of the flow rate.

Is Cubic inches per second a unit of volumetric flow rate?

Yes, $in^3/s$ measures volumetric flow rate, which describes how much volume passes per unit of time. Litres per hour is also a volumetric flow rate unit, so the two units are directly convertible. The conversion simply changes the volume and time units to a different measurement system.

How do I convert a larger Litres per hour value to Cubic inches per second?

Use the formula $in^3/s = l/h \times 0.01695111815945$. For example, if you have a flow rate in $l/h$, multiply that number by the verified factor to get the result in $in^3/s$. This method works the same for small and large values.