Pints per hour to Cubic inches per minute conversion

How to convert pints per hour to cubic inches per minute?

Certainly! Converting units of volume flow rate from pints per hour to cubic inches per minute involves a few steps. Let's break it down:

1. Understanding the basic units:

   • 1 pint = 28.875 cubic inches (for US liquid pint)
   • 1 hour = 60 minutes

2. Conversion steps:

   • We start with the value in pints per hour (pints/hour).
   • Convert pints to cubic inches.
   • Convert hours to minutes.

Let's convert 1 pint per hour to cubic inches per minute:

Step 1: Convert pints to cubic inches.

$1 \text{ pint} = 28.875 \text{ cubic inches}$

Step 2: Convert hours to minutes.

$1 \text{ hour} = 60 \text{ minutes}$

Step 3: Combine the conversions.

$1 \text{ pint/hour} = 28.875 \text{ cubic inches/hour}$

Step 4: Convert cubic inches per hour to cubic inches per minute.

$28.875 \text{ cubic inches/hour} \div 60 \text{ minutes/hour}$

$28.875 \text{ cubic inches/hour} \div 60 = 0.48125 \text{ cubic inches/minute}$

So, 1 pint per hour is equivalent to approximately 0.48125 cubic inches per minute.

Real-world examples for other quantities:

1. 5 Pints per hour: $5 \text{ pints/hour} = 5 \times 28.875 \text{ cubic inches/hour}$ $144.375 \text{ cubic inches/hour} = \frac{144.375}{60} \text{ cubic inches/minute}$ $5 \text{ pints/hour} = 2.40625 \text{ cubic inches/minute}$

2. 10 Pints per hour: $10 \text{ pints/hour} = 10 \times 28.875 \text{ cubic inches/hour}$ $288.75 \text{ cubic inches/hour} = \frac{288.75}{60} \text{ cubic inches/minute}$ $10 \text{ pints/hour} = 4.8125 \text{ cubic inches/minute}$

3. 20 Pints per hour: $20 \text{ pints/hour} = 20 \times 28.875 \text{ cubic inches/hour}$ $577.5 \text{ cubic inches/hour} = \frac{577.5}{60} \text{ cubic inches/minute}$ $20 \text{ pints/hour} = 9.625 \text{ cubic inches/minute}$

Real-World Examples:

• Water Drip from a Faucet: If water is dripping from a faucet at a rate of 2 pints per hour, this would be equivalent to 0.9625 cubic inches per minute. This is a very slow flow, characteristic of a small, dripping leak.

• Irrigation System: An irrigation system might deliver water at a rate of 30 pints per hour. In cubic inches per minute: $30 \text{ pints/hour} = 30 \times 0.48125 \text{ cubic inches/minute} = 14.4375 \text{ cubic inches/minute}$

• Car Engine Cooling System Leak: Suppose there's a small leak in a car's engine cooling system that leaks at a rate of 3 pints per hour. This equates to: $3 \text{ pints/hour} = 3 \times 0.48125 \text{ cubic inches/minute} = 1.44375 \text{ cubic inches/minute}$

These examples give an idea of how different flow rates compare in practical scenarios using the units of pints per hour and cubic inches per minute.