Millimeters per hour to Feet per second conversion

How to convert millimeters per hour to feet per second?

Certainly! To convert from millimeters per hour (mm/h) to feet per second (ft/s), you need to go through a series of conversion steps.

1. Convert millimeters to feet:

   • There are 25.4 millimeters (mm) in an inch.
   • There are 12 inches in a foot.

   Therefore, there are 25.4 * 12 = 304.8 millimeters in a foot.

2. Convert hours to seconds:

   • There are 60 seconds in a minute.
   • There are 60 minutes in an hour.

   Therefore, there are 60 * 60 = 3600 seconds in an hour.

So, the conversion factor for millimeters per hour to feet per second can be calculated as follows:

$1 \, \text{mm/h} = \frac{1 \, \text{mm}}{1 \, \text{h}}$

Now let's apply the conversion factors:

$1 \, \text{mm/h} = \frac{1 \, \text{mm}}{1 \, \text{h}} \times \frac{1 \, \text{foot}}{304.8 \, \text{mm}} \times \frac{1 \, \text{h}}{3600 \, \text{s}}$

The hours (h) and millimeters (mm) will cancel out, leaving:

$1 \, \text{mm/h} = \frac{1 \times 1}{304.8 \times 3600} \, \text{ft/s}$

$1 \, \text{mm/h} = \frac{1}{1097280} \, \text{ft/s}$

$1 \, \text{mm/h} \approx 9.1 \times 10^{-7} \, \text{ft/s}$

Real-World Examples:

1. Rainfall Rates:

   • Light rain might fall at a rate of around 2 mm/h. This converts to about $1.82 \times 10^{-6} \, \text{ft/s}$.
   • Heavy rain might fall at a rate of around 50 mm/h. This converts to about $4.55 \times 10^{-5} \, \text{ft/s}$.

2. Plant Growth:

   • Some plants may grow at a slow rate of about 0.1 mm/h, converting to $9.1 \times 10^{-8} \, \text{ft/s}$.
   • More rapid growth rates, especially during peak growing periods, might reach 1 mm/h, which we're already familiar with as $9.1 \times 10^{-7} \, \text{ft/s}$.

3. Corrosion Rates:

   • Certain materials might corrode at a rate of 0.05 mm/h, converting to about $4.55 \times 10^{-8} \, \text{ft/s}$.

These conversions provide a sense of how slow these speeds are when translated into feet per second, illustrating the often microscopic or slow nature of natural processes like rain accumulation, plant growth, or material wear.