Cubic inches per hour to Litres per minute conversion

How to convert cubic inches per hour to litres per minute?

To convert cubic inches per hour (in³/hr) to liters per minute (L/min), you need to follow a multi-step process involving unit conversions for both volume and time. Here are the steps for converting 1 in³/hr to L/min:

1. Convert cubic inches to liters:

   • 1 cubic inch (in³) is equivalent to approximately 0.016387064 liters (L).
   • Therefore, to convert cubic inches to liters, you multiply by 0.016387064.

2. Convert hours to minutes:

   • 1 hour (hr) is equivalent to 60 minutes (min).
   • Therefore, to adjust the time unit from hours to minutes, you divide by 60.

So, to convert 1 in³/hr to L/min: $\frac{1 \, \text{in}^3}{\text{hr}} \times 0.016387064 \, \frac{\text{L}}{\text{in}^3} \div 60 \, \frac{\text{min}}{\text{hr}} = \frac{0.016387064 \, \text{L}}{60 \, \text{min}} \approx 0.000273118 \, \text{L/min}$

So, $1 \, \text{in}^3/\text{hr} \approx 0.000273118 \, \text{L/min}$.

Real World Examples

To make it relatable, let’s look at some other quantities of flow rates converted from cubic inches per hour to liters per minute:

1. 10 in³/hr: $10 \, \text{in}^3/\text{hr} \times 0.016387064 \, \frac{\text{L}}{\text{in}^3} \div 60 \, \frac{\text{min}}{\text{hr}} = 10 \times 0.000273118 \, \text{L/min} \approx 0.00273118 \, \text{L/min}$

2. 100 in³/hr: $100 \, \text{in}^3/\text{hr} \times 0.016387064 \, \frac{\text{L}}{\text{in}^3} \div 60 \, \frac{\text{min}}{\text{hr}} = 100 \times 0.000273118 \, \text{L/min} \approx 0.0273118 \, \text{L/min}$

3. 1000 in³/hr: $1000 \, \text{in}^3/\text{hr} \times 0.016387064 \, \frac{\text{L}}{\text{in}^3} \div 60 \, \frac{\text{min}}{\text{hr}} = 1000 \times 0.000273118 \, \text{L/min} \approx 0.273118 \, \text{L/min}$

Real-world Applications

• Medicinal Pumps: Microinfusion pumps might use very small flow rates, similar to 1-10 in³/hr converted to L/min, for precise delivery of medications.

• Laboratory Equipment: Devices such as droplet generators or microreactors might operate with flow rates in the range of 10-100 in³/hr.

• Industrial Processes: Larger systems, such as coolant flow in machinery or small-scale water filtration units, might operate with flow rates closer to 1,000 in³/hr.

These conversions and examples show the versatility and applicability of understanding flow rate conversions in various scientific and industrial fields.