Cubic inches per hour to Fluid Ounces per minute conversion

How to convert cubic inches per hour to fluid ounces per minute?

Sure, let's break down the conversion process and then look at some real-world examples.

Conversion Process

1. Identify Conversion Factors:

   • There are 60 minutes in an hour.
   • There are 231 cubic inches in 1 gallon.
   • There are 128 fluid ounces in 1 gallon.

2. Convert Cubic Inches per Hour to Cubic Inches per Minute:

   • Since there are 60 minutes in an hour, divide the cubic inches per hour by 60 to get cubic inches per minute.

3. Convert Cubic Inches to Fluid Ounces:

   • First, convert cubic inches to gallons, and then convert gallons to fluid ounces.
   • $\text{Cubic inches} \rightarrow \text{Gallons} \rightarrow \text{Fluid ounces}$

Conversion Steps

Step 1: Convert 1 Cubic Inches per Hour to Cubic Inches per Minute

$1 \text{ cubic inch per hour} \div 60 = \frac{1}{60} \text{ cubic inches per minute}$

Step 2: Convert Cubic Inches to Gallons

$\frac{1}{60} \text{ cubic inches per minute} \times \frac{1 \text{ gallon}}{231 \text{ cubic inches}} = \frac{1}{60 \times 231} \text{ gallons per minute}$ $= \frac{1}{13860} \text{ gallons per minute}$

Step 3: Convert Gallons to Fluid Ounces

$\frac{1}{13860} \text{ gallons per minute} \times 128 \text{ fluid ounces per gallon} = \frac{128}{13860} \text{ fluid ounces per minute}$ $\approx 0.00923 \text{ fluid ounces per minute}$

Hence, 1 cubic inch per hour is approximately 0.00923 fluid ounces per minute.

Real World Examples

a) 100 Cubic Inches per Hour

• Convert to cubic inches per minute: $\frac{100}{60} = 1.\overline{6}$
• Convert to gallons per minute: $1.\overline{6} \div 231 = 0.0072$
• Convert to fluid ounces per minute: $0.0072 \times 128 = 0.9216 \text{ fluid ounces per minute}$

b) 500 Cubic Inches per Hour

• Convert to cubic inches per minute: $\frac{500}{60} \approx 8.33$
• Convert to gallons per minute: $8.33 \div 231 \approx 0.036$
• Convert to fluid ounces per minute: $0.036 \times 128 \approx 4.61 \text{ fluid ounces per minute}$

c) 1000 Cubic Inches per Hour

• Convert to cubic inches per minute: $\frac{1000}{60} \approx 16.67$
• Convert to gallons per minute: $16.67 \div 231 \approx 0.072$
• Convert to fluid ounces per minute: $0.072 \times 128 \approx 9.21 \text{ fluid ounces per minute}$

These conversions can be useful in various practical scenarios, such as in fluid mechanics, engineering applications, and various industrial processes where precise flow rate measurements are crucial.