Cubic inches per minute to Cubic feet per hour conversion

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

To convert from cubic inches per minute (in³/min) to cubic feet per hour (ft³/hr), you need to understand the relationship between these units.

1 cubic foot (ft³) = 12 inches × 12 inches × 12 inches = 1728 cubic inches (in³).

Therefore, the conversion factor between cubic inches and cubic feet is: $1 \text{ ft³} = 1728 \text{ in³}$

Now, you need to convert minutes to hours: $1 \text{ hour} = 60 \text{ minutes}$

Steps to convert 1 cubic inch per minute (in³/min) to cubic feet per hour (ft³/hr):

1. Convert cubic inches per minute to cubic inches per hour: $1 \text{ in³/min} \times 60 \text{ min/hr} = 60 \text{ in³/hr}$

2. Convert cubic inches per hour to cubic feet per hour: $60 \text{ in³/hr} \div 1728 \text{ in³/ft³} \approx 0.03472 \text{ ft³/hr}$

So, 1 cubic inch per minute is approximately 0.03472 cubic feet per hour.

Real-World Examples

Let's convert other quantities of cubic inches per minute to cubic feet per hour:

1. 5 in³/min to ft³/hr: $5 \text{ in³/min} \times 60 \text{ min/hr} = 300 \text{ in³/hr}$ $300 \text{ in³/hr} \div 1728 \text{ in³/ft³} \approx 0.1736 \text{ ft³/hr}$

2. 10 in³/min to ft³/hr: $10 \text{ in³/min} \times 60 \text{ min/hr} = 600 \text{ in³/hr}$ $600 \text{ in³/hr} \div 1728 \text{ in³/ft³} \approx 0.3472 \text{ ft³/hr}$

3. 50 in³/min to ft³/hr: $50 \text{ in³/min} \times 60 \text{ min/hr} = 3000 \text{ in³/hr}$ $3000 \text{ in³/hr} \div 1728 \text{ in³/ft³} \approx 1.7361 \text{ ft³/hr}$

4. 100 in³/min to ft³/hr: $100 \text{ in³/min} \times 60 \text{ min/hr} = 6000 \text{ in³/hr}$ $6000 \text{ in³/hr} \div 1728 \text{ in³/ft³} \approx 3.4722 \text{ ft³/hr}$

These conversions can be used in various real-world applications such as:

• Engineering: Designing systems that involve fluid flow like water supply, air ventilation, or hydraulic systems.
• HVAC Systems: Adjusting and calibrating airflow rates for heating, ventilation, and air conditioning systems.
• 3D Printing: Calculating the rate of material extrusion in 3D printers.