Tablespoons per second to Cubic yards per hour conversion

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

Certainly! To convert from tablespoons per second (Tbsp/s) to cubic yards per hour (yd³/hr), we need to follow these steps:

1. Convert tablespoons to cubic yards:

   • There are 256 tablespoons in a US gallon (as 1 gallon = 16 cups, 1 cup = 16 tablespoons).
   • There are 231 cubic inches in a US gallon.
   • There are 46,656 cubic inches in a cubic yard (as 1 yard = 36 inches, and 36^3 = 46,656 cubic inches).

2. Convert seconds to hours:

   • There are 3,600 seconds in an hour.

Let's first find out how many cubic inches are in one tablespoon: $\frac{231 \text{ cubic inches}}{256 \text{ tablespoons}} \approx 0.90234375 \text{ cubic inches per tablespoon}$

Next, convert cubic inches to cubic yards: $0.90234375 \text{ cubic inches} \times \frac{1 \text{ cubic yard}}{46,656 \text{ cubic inches}} \approx 1.933284259 \times 10^{-5} \text{ cubic yards per tablespoon}$

Now, we need to convert this volume flow rate to per hour: $(1.933284259 \times 10^{-5} \text{ cubic yards per tablespoon}) \times (3,600 \text{ seconds per hour}) \approx 0.06959823 \text{ cubic yards per hour}$

Therefore, 1 tablespoon per second is approximately $0.0696$ cubic yards per hour.

Real World Examples

To better understand this conversion, here are a few real-world scenarios that describe different quantities of tablespoons per second:

1. Garden Hose Flow Rate:

   • A garden hose might have a flow rate of approximately 0.5 to 1 tablespoon per second. This is enough to slowly water a garden bed without overwhelming the soil.

2. Kitchen Tap:

   • A kitchen tap might dispense water at the rate of about 2 to 3 tablespoons per second, suitable for filling up pots for cooking.

3. Fire Hose:

   • A fire hose on the other hand, tends to have a much higher flow rate, often measured in gallons per minute (GPM). However, if we approximate it to tablespoons per second, it could be something like a couple of hundred tablespoons per second due to the high pressure and large volume of water dispensed quickly.

Understanding these conversions can be very useful in various applications, from cooking and gardening to industrial settings and water resource management.