Cubic yards per hour to Tablespoons per second conversion

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

Sure! To convert cubic yards per hour to tablespoons per second, we need to go through a series of unit conversions step-by-step:

1. Cubic Yards to Cubic Feet:

   • 1 cubic yard = 27 cubic feet

2. Cubic Feet to Cubic Inches:

   • 1 cubic foot = 12 inches × 12 inches × 12 inches = 1,728 cubic inches

3. Cubic Inches to Tablespoons:

   • 1 cubic inch = 1.108225 tablespoons (US)

4. Hours to Seconds:

   • 1 hour = 3,600 seconds

Now we can piece these conversions together:

1. Starting with 1 cubic yard per hour: $1 \text{ cubic yard/hour}$

2. Convert cubic yards to cubic feet: $1 \text{ cubic yard} = 27 \text{ cubic feet}$ So, $1 \text{ cubic yard/hour} = 27 \text{ cubic feet/hour}$

3. Convert cubic feet to cubic inches: $27 \text{ cubic feet/hour} = 27 \times 1,728 \text{ cubic inches/hour}$ $27 \times 1,728 = 46,656 \text{ cubic inches/hour}$

4. Convert cubic inches to tablespoons: $46,656 \text{ cubic inches/hour} = 46,656 \times 1.108225 \text{ tablespoons/hour}$ $46,656 \times 1.108225 \approx 51,691.7 \text{ tablespoons/hour}$

5. Convert hours to seconds: $51,691.7 \text{ tablespoons/hour} = \frac{51,691.7}{3,600} \text{ tablespoons/second}$ $\approx 14.36 \text{ tablespoons/second}$

Therefore, 1 cubic yard per hour is approximately equal to 14.36 tablespoons per second.

Real-World Examples for Other Quantities of Cubic Yards per Hour:

1. Industrial Concrete Pouring:

   • A large construction project may have concrete mixers pouring at a rate of 10 cubic yards per hour. This would be: $10 \text{ cubic yards/hour} \approx 143.6 \text{ tablespoons/second}$

2. Landscaping Material Delivery:

   • A company delivering mulch at 3 cubic yards per hour: $3 \text{ cubic yards/hour} \approx 43.08 \text{ tablespoons/second}$

3. Dredging Operations:

   • Large-scale dredging operations might move silt at a rate of 50 cubic yards per hour: $50 \text{ cubic yards/hour} \approx 718 \text{ tablespoons/second}$

4. Agricultural Irrigation:

   • If an irrigation system delivers water at a rate of 0.5 cubic yards per hour: $0.5 \text{ cubic yards/hour} \approx 7.18 \text{ tablespoons/second}$

These examples show the wide range of applications and the conversion from cubic yards per hour to more granular units like tablespoons per second can provide a very detailed understanding of flow rates.