Teaspoons per second to Cubic yards per hour conversion

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

To convert 1 teaspoon per second (tsp/s) to cubic yards per hour (yd³/hr), we need to follow these steps:

1. Convert teaspoons to cubic yards:

   1 teaspoon is equivalent to approximately $4.92892 \times 10^{-6}$ cubic yards.

2. Convert seconds to hours:

   1 second is $\frac{1}{3600}$ of an hour because there are 3600 seconds in an hour.

Now, we can set up the conversion:

$1 \, \text{tsp/s} \times 4.92892 \times 10^{-6} \, \text{yd}^3/\text{tsp} \times 3600 \, \text{s/hr}$

$= 1 \times 4.92892 \times 10^{-6} \times 3600 \, \text{yd}^3/\text{hr}$

$= 0.0177433 \, \text{yd}^3/\text{hr}$

So, 1 teaspoon per second is approximately 0.0177433 cubic yards per hour.

Real World Examples for Various Quantities of Teaspoons per Second

1. 0.5 tsp/s: Convert to cubic yards per hour. $0.5 \, \text{tsp/s} \times 0.0177433 \, \text{yd}^3/\text{hr} \, \text{per tsp/s} = 0.00887165 \, \text{yd}^3/\text{hr}$

   Example: A small water leak might drip at about 0.5 teaspoons per second.

2. 2 tsp/s: Convert to cubic yards per hour. $2 \, \text{tsp/s} \times 0.0177433 \, \text{yd}^3/\text{hr} \, \text{per tsp/s} = 0.0354866 \, \text{yd}^3/\text{hr}$

   Example: A moderately flowing garden hose might release water at about this rate.

3. 10 tsp/s: Convert to cubic yards per hour. $10 \, \text{tsp/s} \times 0.0177433 \, \text{yd}^3/\text{hr} \, \text{per tsp/s} = 0.177433 \, \text{yd}^3/\text{hr}$

   Example: A small aquarium pump might have a flow rate closer to this amount.

4. 20 tsp/s: Convert to cubic yards per hour. $20 \, \text{tsp/s} \times 0.0177433 \, \text{yd}^3/\text{hr} \, \text{per tsp/s} = 0.354866 \, \text{yd}^3/\text{hr}$

   Example: A larger irrigation system might flow at this rate.

These examples illustrate different scenarios where volume flow rates vary, and understanding the conversion can help when designing systems or solving problems related to fluid flow.