Cubic yards per hour to Cubic inches per second conversion

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

To convert cubic yards per hour to cubic inches per second, you need to follow these steps:

1. Identify Conversion Factors:

   • There are $3$ feet in a yard.
   • There are $12$ inches in a foot.
   • There are $24 \times 60 \times 60 = 86400$ seconds in 24 hours (1 day).

2. Convert Cubic Yards to Cubic Inches:

   • First, convert yards to inches: $\text{1 yard} = 3 \text{ feet}$ $\text{1 foot} = 12 \text{ inches}$ Therefore: $\text{1 yard} = 3 \times 12 = 36 \text{ inches}$
     • Now, since we are dealing with cubic measurements, cube the conversion: $\text{1 cubic yard} = (36 \text{ inches})^3 = 36 \times 36 \times 36 = 46,656 \text{ cubic inches}$

3. Convert Hours to Seconds:

   • There are 3600 seconds in an hour.
   • Therefore: $\text{1 hour} = 3600 \text{ seconds}$

4. Combine Both Conversions:

   • To find cubic inches per second, divide the number of cubic inches in a cubic yard by the number of seconds in an hour: $\text{Cubic inches per second} = \frac{46,656 \text{ cubic inches}}{3600 \text{ seconds}} \approx 12.96 \text{ cubic inches per second}$

So, 1 cubic yard per hour is approximately 12.96 cubic inches per second.

Real World Examples:

1. Concrete Pouring for Construction:

   • If a truck delivers concrete at a rate of 5 cubic yards per hour, you can convert this to cubic inches per second: $5 \text{ cubic yards per hour} \times 12.96 \text{ cubic inches per second} \approx 64.8 \text{ cubic inches per second}$
   • This rate helps in understanding how quickly concrete is being poured during construction projects.

2. Water Flow in Irrigation Systems:

   • Suppose an irrigation pump is rated at 2 cubic yards per hour: $2 \text{ cubic yards per hour} \times 12.96 \text{ cubic inches per second} \approx 25.92 \text{ cubic inches per second}$
   • This conversion can help in designing effective irrigation systems by understanding the flow rate in more familiar units like cubic inches per second.

3. Material Transport in Mining or Agriculture:

   • If a conveyor belt system transports gravel at a rate of 12 cubic yards per hour: $12 \text{ cubic yards per hour} \times 12.96 \text{ cubic inches per second} = 155.52 \text{ cubic inches per second}$
   • This measurement can help ensure the conveyor system operates within its intended capacity.

By understanding the conversion from cubic yards per hour to cubic inches per second, you can effectively interpret and use flow rates in various engineering and scientific applications.