Inches per hour to Feet per second conversion

How to convert inches per hour to feet per second?

Sure! To convert inches per hour (in/hr) to feet per second (ft/s), follow these steps:

1. Convert Inches to Feet: There are 12 inches in a foot. Therefore, to convert inches to feet, you can divide by 12.
2. Convert Hours to Seconds: There are 3600 seconds in an hour (60 minutes * 60 seconds). Therefore, to convert hours to seconds, you divide hours by 3600.

So, the conversion formula from inches per hour to feet per second is: $1 \text{ in/hr} \times \frac{1 \text{ ft}}{12 \text{ in}} \times \frac{1 \text{ hr}}{3600 \text{ seconds}}$

Simplifying this step-by-step: $1 \text{ in/hr} \times \frac{1}{12} \text{ ft/in} \times \frac{1}{3600} \text{ hr/s}$

$= 1 \times \frac{1}{12} \times \frac{1}{3600} \text{ ft/s}$

$= \frac{1}{43200} \text{ ft/s}$

So, 1 inch per hour is equivalent to $\frac{1}{43200}$ feet per second, or approximately $2.3148 \times 10^{-5}$ feet per second.

Real-World Examples for Other Quantities of Inches Per Hour:

1. 5 Inches Per Hour: $5 \text{ in/hr} \times \frac{1 \text{ ft}}{12 \text{ in}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{5}{43200} \text{ ft/s} \approx 1.1574 \times 10^{-4} \text{ ft/s}$

2. 10 Inches Per Hour: $10 \text{ in/hr} \times \frac{1 \text{ ft}}{12 \text{ in}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{10}{43200} \text{ ft/s} \approx 2.3148 \times 10^{-4} \text{ ft/s}$

3. 100 Inches Per Hour: $100 \text{ in/hr} \times \frac{1 \text{ ft}}{12 \text{ in}} \times \frac{1 \text{ hr}}{3600 \text{ s}} = \frac{100}{43200} \text{ ft/s} \approx 2.3148 \times 10^{-3} \text{ ft/s}$

Real-World Context:

• Snail Speed: A common garden snail moves at a pace of around 30 inches per hour. Using the conversion: $30 \text{ in/hr} \approx 0.0006944 \text{ ft/s}$ This shows just how slowly a snail moves.

• Glacier Movement: Some glaciers are known to move at about 4 inches per hour. Converted to feet per second: $4 \text{ in/hr} \approx 9.2593 \times 10^{-5} \text{ ft/s}$ Glaciers move extremely slowly, even slower than a snail!

These examples help put the concept of converting from inches per hour to feet per second into perspective, highlighting the slow movement often represented by the former unit.