Cubic inches per minute to Litres per hour conversion

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

To convert cubic inches per minute (in³/min) to liters per hour (L/h), you need to go through a few steps due to the differences in units (imperial to metric).

1. Convert cubic inches to liters:

   • There are 61.0237 cubic inches in one liter.

2. Convert minutes to hours:

   • There are 60 minutes in one hour.

Given that:

$1 \text{ in}^3 = 0.0163871 \text{ L}$

Here's the step-by-step conversion:

1. Convert cubic inches per minute to cubic inches per hour: $1 \text{ in}^3/\text{min} \times 60 \text{ min/hr} = 60 \text{ in}^3/\text{hr}$

2. Convert cubic inches to liters: $60 \text{ in}^3/\text{hr} \times 0.0163871 \text{ L/in}^3 = 0.983226 \text{ L/hr}$

So, 1 cubic inch per minute is approximately 0.983226 liters per hour.

Real World Examples:

1. Small Aquarium Pump:

   Suppose you have a small aquarium pump that flows at 10 cubic inches per minute.

   • Conversion to liters per hour: $10 \text{ in}^3/\text{min} \times 60 \text{ min/hr} \times 0.0163871 \text{ L/in}^3 = 9.83226 \text{ L/hr}$ So, the pump flows at about 9.83 liters per hour.

2. Moderate Flow in a Manufacturing Process:

   A piece of machinery might require a coolant flow rate of 50 cubic inches per minute.

   • Conversion to liters per hour: $50 \text{ in}^3/\text{min} \times 60 \text{ min/hr} \times 0.0163871 \text{ L/in}^3 = 49.1613 \text{ L/hr}$ This is approximately 49.16 liters per hour.

3. Car Engine Fuel Injection System:

   A car's fuel injection system might deliver fuel at a rate of 100 cubic inches per minute.

   • Conversion to liters per hour: $100 \text{ in}^3/\text{min} \times 60 \text{ min/hr} \times 0.0163871 \text{ L/in}^3 = 98.3226 \text{ L/hr}$ This is around 98.32 liters per hour.

Understanding these conversions helps in comparing and understanding different systems and their requirements across different units of measurement.