Cubic Millimeters per second to Pints per hour conversion

How to convert cubic millimeters per second to pints per hour?

To convert from cubic millimeters per second (mm³/s) to pints per hour (pt/h), follow these steps:

Step 1: Convert Cubic Millimeters per Second to Cubic Centimeters per Hour

1. Convert Cubic Millimeters to Cubic Centimeters:

   • $1 \text{ mm}^3 = 0.001 \text{ cm}^3$

2. Convert Seconds to Hours:

   • $1 \text{ second} = \frac{1}{3600} \text{ hours}$

Given: $1 \text{ mm}^3/\text{s}$

First, convert cubic millimeters to cubic centimeters: $1 \text{ mm}^3/\text{s} = 1 \text{ mm}^3/s \times 0.001 \text{ cm}^3/\text{mm}^3 = 0.001 \text{ cm}^3/\text{s}$

Next, convert seconds to hours: $0.001 \text{ cm}^3/\text{s} = 0.001 \text{ cm}^3/\frac{1}{3600} \text{ hours}$ $0.001 \text{ cm}^3/\text{s} = 0.001 \text{ cm}^3 \times 3600 \text{ s} /\text{hour}$ $0.001 \times 3600 = 3.6 \text{ cm}^3/\text{hour}$

Step 2: Convert Cubic Centimeters per Hour to Pints per Hour

1. Convert Cubic Centimeters to Liters:
   • $1 \text{ cm}^3 = 0.001 \text{ liters}$

$3.6 \text{ cm}^3/\text{hour} = 3.6 \times 0.001 \text{ liters} /\text{cm}^3$ $3.6 \times 0.001 = 0.0036 \text{ liters}/\text{hour}$

2. Convert Liters to Pints:
   • $1 \text{ liter} = 2.11338 \text{ US pints}$

$0.0036 \text{ liters}/\text{hour} = 0.0036 \times 2.11338 \text{ pints}/\text{liter}$ $0.0036 \times 2.11338 \approx 0.0076 \text{ pints}/\text{hour}$

Therefore, 1 cubic millimeter per second is approximately 0.0076 pints per hour.

Real World Examples

1. Medical Infusion Pumps:

   • An infusion pump might deliver around 5 mm³/s of medication. Converting to pints per hour: $5 \times 0.0076 \approx 0.038 \text{ pints}/\text{hour}$

2. Small Water Stream:

   • A small water stream from a faucet might flow at about 100 mm³/s. Converting to pints per hour: $100 \times 0.0076 \approx 0.76 \text{ pints}/\text{hour}$

3. Industrial Pipelines:

   • An industrial lubricant pipeline might have a flow rate of 10,000 mm³/s. Converting to pints per hour: $10,000 \times 0.0076 \approx 76 \text{ pints}/\text{hour}$

These conversions give you practical insights into various applications where different flow rates might be observed and how they translate into pints per hour.