Feet per minute to Miles per hour conversion

How to convert feet per minute to miles per hour?

Certainly! Converting from feet per minute (fpm) to miles per hour (mph) involves a couple of unit conversions. Here is a step-by-step explanation:

1. There are 5280 feet in a mile.
2. There are 60 minutes in an hour.

To convert feet per minute to miles per hour, you can use the following formula:

$\text{Speed in mph} = \text{Speed in fpm} \times \frac{1 \text{ mile}}{5280 \text{ feet}} \times \frac{60 \text{ minutes}}{1 \text{ hour}}$

For 1 fpm:

$\text{Speed in mph} = 1 \text{ fpm} \times \frac{1 \text{ mile}}{5280 \text{ feet}} \times \frac{60 \text{ minutes}}{1 \text{ hour}}$

$\text{Speed in mph} = 1 \times \frac{60}{5280}$

$\text{Speed in mph} = \frac{60}{5280}$

$\text{Speed in mph} \approx 0.01136$

So, 1 feet per minute is approximately 0.01136 miles per hour.

Real-world Examples for Different Quantities:

1. 100 fpm: $\text{Speed in mph} = 100 \times \frac{60}{5280}$ $\text{Speed in mph} \approx 1.136 \text{ mph}$

2. 30 fpm: $\text{Speed in mph} = 30 \times \frac{60}{5280}$ $\text{Speed in mph} \approx 0.341 \text{ mph}$

3. 200 fpm: $\text{Speed in mph} = 200 \times \frac{60}{5280}$ $\text{Speed in mph} \approx 2.273 \text{ mph}$

Real-world context:

• 1 fpm (0.01136 mph): This is extremely slow, almost imperceptibly slow. It's like the rate at which grass grows.

• 100 fpm (1.136 mph): This is slow walking speed, akin to a leisurely stroll. This could be the pace of a person window shopping or slowly meandering through a park.

• 30 fpm (0.341 mph): This is slower than usual walking speed, perhaps comparable to someone with limited mobility or a small child.

• 200 fpm (2.273 mph): This is average walking speed. It’s a typical pace for a person walking with purpose but not hurriedly.

By understanding these conversions, you can discern the practical implications of various speeds measured in feet per minute.