Inches per hour (in/h) to Feet per second (ft/s) conversion

How to convert inches per hour to feet per second?

Converting between inches per hour and feet per second involves understanding the relationships between these units of length and time. This conversion is important in various fields, such as engineering, where precision is key. The process is the same in base 10 and base 2, as we are dealing with standard units of measurement rather than digital storage units.

Understanding the Conversion Factors

Before we dive into the conversion, let's establish the key relationships:

• 1 foot = 12 inches
• 1 hour = 3600 seconds

Converting Inches per Hour to Feet per Second

To convert inches per hour to feet per second, we'll use these conversion factors. The formula is:

$$\text{Feet per second} = \text{Inches per hour} \times \frac{1 \text{ foot}}{12 \text{ inches}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}}$$

Step-by-Step Conversion for 1 Inch per Hour:

1. Start with the given value: 1 inch per hour.

2. Convert inches to feet: Divide by 12.

   $\frac{1 \text{ inch}}{1 \text{ hour}} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{1}{12} \text{ feet per hour}$

3. Convert hours to seconds: Divide by 3600.

   $\frac{1}{12} \frac{\text{feet}}{\text{hour}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} = \frac{1}{12 \times 3600} \text{ feet per second}$

4. Calculate the result:

   $\frac{1}{43200} \text{ feet per second} \approx 2.3148 \times 10^{-5} \text{ feet per second}$

Therefore, 1 inch per hour is approximately $2.3148 \times 10^{-5}$ feet per second.

Converting Feet per Second to Inches per Hour

To convert feet per second back to inches per hour, we reverse the process:

$$\text{Inches per hour} = \text{Feet per second} \times \frac{12 \text{ inches}}{1 \text{ foot}} \times \frac{3600 \text{ seconds}}{1 \text{ hour}}$$

Step-by-Step Conversion for 1 Foot per Second:

1. Start with the given value: 1 foot per second.

2. Convert feet to inches: Multiply by 12.

   $\frac{1 \text{ foot}}{1 \text{ second}} \times \frac{12 \text{ inches}}{1 \text{ foot}} = 12 \text{ inches per second}$

3. Convert seconds to hours: Multiply by 3600.

   $\frac{12 \text{ inches}}{1 \text{ second}} \times \frac{3600 \text{ seconds}}{1 \text{ hour}} = 12 \times 3600 \text{ inches per hour}$

4. Calculate the result:

   $43200 \text{ inches per hour}$

Therefore, 1 foot per second is equal to 43,200 inches per hour.

Real-World Examples

While inches per hour and feet per second may not be everyday units, here are contexts where understanding small speeds is relevant:

1. Erosion Rates: Geologists measure erosion rates of land formations in terms of inches per year, which can be converted to smaller units like feet per second for calculations.
2. Plant Growth: The growth rate of some plants, especially certain types of moss or slow-growing species, might be measured in inches per hour or day in laboratory settings to monitor growth under different conditions.
3. Manufacturing Processes: In precision manufacturing, the speed at which materials move during processes like coating or deposition might be controlled and measured in small units like inches per hour to ensure uniformity.
4. Fluid Dynamics: When studying very slow-moving fluids or the permeation of liquids through materials, speeds might be expressed in inches per hour.
5. Glacier movement: While glaciers typically move several feet a day, the movement at any single moment can be a very small number that may make sense to convert between these units.

Interesting Facts

While there isn't a specific law or famous person directly associated with this particular unit conversion, understanding unit conversions in general is crucial in science and engineering. Standardizing units helps avoid errors in calculations and ensures consistency across different fields. The International System of Units (SI), also known as the metric system, provides a universal standard for measurements, but other units like inches and feet are still widely used, especially in the United States.

Further Resources

For more information on unit conversions and the International System of Units, you can refer to:

• NIST (National Institute of Standards and Technology) - Provides comprehensive information on units of measurement.