Cubic inches per minute to Cubic yards per hour conversion

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

To convert a volume flow rate from cubic inches per minute (in³/min) to cubic yards per hour (yd³/hr), you need to follow these steps:

Step-by-step conversion:

1. Convert cubic inches to cubic yards: There are 46,656 cubic inches in one cubic yard (since $36 \text{ inches} = 1 \text{ yard}$ and $36^3 = 46,656 \, \text{in}^3/\text{yd}^3$).

2. Convert minutes to hours: There are 60 minutes in one hour.

Conversion process:

1. 1 Cubic inch 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 per hour to Cubic yards per hour: $60 \text{ in}^3/\text{hr} \div 46,656 \text{ in}^3/\text{yd}^3 \approx 0.001286 \text{ yd}^3/\text{hr}$

So, 1 cubic inch per minute is approximately 0.001286 cubic yards per hour.

Real-world examples:

10 Cubic inches per minute:

1. In cubic inches per hour: $10 \text{ in}^3/\text{min} \times 60 \text{ min/hr} = 600 \text{ in}^3/\text{hr}$

2. Convert to cubic yards per hour: $600 \text{ in}^3/\text{hr} \div 46,656 \text{ in}^3/\text{yd}^3 \approx 0.01286 \text{ yd}^3/\text{hr}$

100 Cubic inches per minute:

1. In cubic inches per hour: $100 \text{ in}^3/\text{min} \times 60 \text{ min/hr} = 6,000 \text{ in}^3/\text{hr}$

2. Convert to cubic yards per hour: $6,000 \text{ in}^3/\text{hr} \div 46,656 \text{ in}^3/\text{yd}^3 \approx 0.1286 \text{ yd}^3/\text{hr}$

1,000 Cubic inches per minute:

1. In cubic inches per hour: $1,000 \text{ in}^3/\text{min} \times 60 \text{ min/hr} = 60,000 \text{ in}^3/\text{hr}$

2. Convert to cubic yards per hour: $60,000 \text{ in}^3/\text{hr} \div 46,656 \text{ in}^3/\text{yd}^3 \approx 1.286 \text{ yd}^3/\text{hr}$

Conclusion:

The conversion process is straightforward once you know the factors: 60 minutes per hour and 46,656 cubic inches per cubic yard. The resulting cubic yards per hour can give you a better understanding of much larger volumes when compared to cubic inches per minute.