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

Let's explore the conversion between cubic inches per hour and liters per hour.

Understanding the Conversion

Cubic inches per hour and liters per hour are both units of volume flow rate, which measures the volume of fluid that passes through a given area per unit of time. Converting between them involves understanding the relationship between cubic inches and liters, as well as keeping the time component (hours) consistent

Step-by-Step Conversion Instructions

Converting Cubic Inches per Hour to Liters per Hour

1. Know the conversion factor: 1 cubic inch is approximately equal to 0.0163871 liters.

2. Apply the conversion factor: To convert cubic inches per hour to liters per hour, multiply the value in cubic inches per hour by the conversion factor.

$$\text{Liters per hour} = \text{Cubic inches per hour} \times 0.0163871$$

3. Example: Convert 1 cubic inch per hour to liters per hour:

$$1 \text{ cubic inch per hour} \times 0.0163871 = 0.0163871 \text{ liters per hour}$$

Converting Liters per Hour to Cubic Inches per Hour

1. Know the conversion factor: 1 liter is approximately equal to 61.0237 cubic inches.

2. Apply the conversion factor: To convert liters per hour to cubic inches per hour, multiply the value in liters per hour by the conversion factor.

$$\text{Cubic inches per hour} = \text{Liters per hour} \times 61.0237$$

3. Example: Convert 1 liter per hour to cubic inches per hour:

$$1 \text{ liter per hour} \times 61.0237 = 61.0237 \text{ cubic inches per hour}$$

Real-World Examples

While cubic inches per hour and liters per hour might not be commonly used in everyday conversation, the underlying concept of volume flow rate is crucial in many applications:

• Fluid pumps: Engineers use these conversions when selecting or designing fluid pumps for specific flow rates. For example, a pump might need to deliver coolant at a certain volume flow rate in an engine.
• HVAC systems: HVAC systems use volume flow rates to measure the amount of air being circulated through a building.
• Medical devices: Infusion pumps used in hospitals to deliver medication at a controlled rate rely on accurate volume flow rate measurements.

Interesting Facts

• Archimedes Principle: While not directly related to cubic inches per hour or liters per hour, Archimedes principle describes the upward buoyant force that acts on a body immersed in fluid. This concept is related to volume and is fundamental in understanding fluid dynamics. Archimedes Principle Source

How to Convert Cubic inches per hour to Litres per hour

To convert Cubic inches per hour to Litres per hour, multiply the flow rate by the conversion factor between the two units. Since this is a volume flow rate, the time unit stays the same and only the volume unit changes.

1. Write the conversion factor:
   Use the verified factor for Cubic inches per hour to Litres per hour:

   $$1\ \text{in}^3/\text{h} = 0.01638698846677\ \text{l/h}$$

2. Set up the conversion:
   Multiply the given value by the conversion factor:

   $$25\ \text{in}^3/\text{h} \times 0.01638698846677\ \frac{\text{l/h}}{\text{in}^3/\text{h}}$$

3. Calculate the result:
   The $\text{in}^3/\text{h}$ units cancel, leaving Litres per hour:

   $$25 \times 0.01638698846677 = 0.4096747116693$$

4. Result:

   $$25\ \text{Cubic inches per hour} = 0.4096747116693\ \text{Litres per hour}$$

A quick way to check your work is to make sure the result is smaller than 25, since 1 cubic inch is much less than 1 litre. Keep the full conversion factor during calculation to avoid rounding errors.

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

To convert Cubic inches per hour to Litres per hour, multiply the flow rate in $in^3/h$ by the verified factor $0.01638698846677$.
The formula is: $l/h = in^3/h \times 0.01638698846677$.

How many Litres per hour are in 1 Cubic inch per hour?

There are exactly $0.01638698846677\ l/h$ in $1\ in^3/h$ based on the verified conversion factor.
This is useful as a reference value when converting small flow rates.

When would I use a Cubic inches per hour to Litres per hour conversion?

This conversion is useful when comparing fluid flow rates between systems that use U.S. customary units and metric units.
It often appears in engineering, pump specifications, laboratory dosing, and low-flow liquid transfer applications.

Why is the conversion factor so small?

A cubic inch is a relatively small unit of volume, so converting it to litres produces a small decimal value.
Since $1\ in^3/h = 0.01638698846677\ l/h$, even several cubic inches per hour may still represent a modest metric flow rate.

Can I convert larger flow values with the same formula?

Yes, the same formula applies to any value in $in^3/h$.
For example, multiply the given number of cubic inches per hour by $0.01638698846677$ to get the equivalent value in $l/h$.

Is this conversion exact for every calculation?

Using the verified factor $1\ in^3/h = 0.01638698846677\ l/h$ gives consistent and accurate results for standard conversions.
The final displayed value may vary slightly only if you round the result to fewer decimal places.