Pints per hour to Tablespoons per second conversion

How to convert pints per hour to tablespoons per second?

Sure, let's go through the conversion step by step and then we'll consider some real-world examples for other quantities of Pints per hour.

Step-by-Step Conversion

We'll use the following relationships in our conversion:

1. There are 2 cups in a pint.
2. There are 16 tablespoons in a cup.
3. There are 3600 seconds in an hour.

We want to convert 1 pint per hour to tablespoons per second.

1. Convert pints to cups: $1 \text{ pint} \times 2 \text{ cups per pint} = 2 \text{ cups}$

2. Convert cups to tablespoons: $2 \text{ cups} \times 16 \text{ tablespoons per cup} = 32 \text{ tablespoons}$

3. Convert hours to seconds: $1 \text{ hour} = 3600 \text{ seconds}$

4. Combine the conversions to relate pints/hour to tablespoons/second:

   $\frac{32 \text{ tablespoons}}{3600 \text{ seconds}}$

   Simplify the fraction: $\frac{32}{3600} = \frac{8}{900} = \frac{4}{450} = \frac{2}{225} = \frac{1}{112.5}$

So, 1 pint per hour is approximately $\frac{1}{112.5}$ or 0.00889 tablespoons per second.

Real-World Examples

• Coffee Machine: Consider a coffee machine that brews at a rate of 6 pints per hour. Using the conversion factor we found, 6 pints per hour converts to:

  $6 \text{ pints/hour} \times 0.00889 \text{ tablespoons/second per pint/hour} = 0.05333 \text{ tablespoons/second}$

• Juice Dispenser: A juice dispenser pouring at 10 pints per hour:

  $10 \text{ pints/hour} \times 0.00889 \text{ tablespoons/second per pint/hour} = 0.0889 \text{ tablespoons/second}$

• IV Drip in a Medical Setting: An IV drip that administers fluids at a rate of 0.5 pints per hour:

  $0.5 \text{ pints/hour} \times 0.00889 \text{ tablespoons/second per pint/hour} = 0.004445 \text{ tablespoons/second}$

These conversions provide a method for determining fluid flow rates in a variety of practical scenarios, ensuring precise calculations for everything from kitchen appliances to medical equipment.