Feet per second to Miles per hour conversion

How to convert feet per second to miles per hour?

To convert from feet per second (fps) to miles per hour (mph), you'll need to understand the relationship between feet and miles, as well as seconds and hours. Here's a step-by-step breakdown of the conversion:

1. Conversions Needed:

   • There are 5280 feet in a mile.
   • There are 3600 seconds in an hour.

2. Conversion Formula:

   • To convert feet per second (fps) to miles per hour (mph), use the formula: $\text{Speed (mph)} = \text{Speed (fps)} \times \frac{3600}{5280}$

3. Simplify the Ratio:

   • Simplify the fraction $\frac{3600}{5280}$: $\frac{3600}{5280} = \frac{3}{4} = 0.681818$
   • So, the conversion factor is approximately 0.681818.

4. Convert 1 fps to mph:

   • Multiply 1 fps by the conversion factor: $1 \, \text{fps} \times 0.681818 \approx 0.681818 \, \text{mph}$

Therefore, 1 feet per second is approximately 0.682 miles per hour.

Real-World Examples:

1. 10 Feet per Second:

   • Calculate: $10 \, \text{fps} \times 0.681818 \approx 6.818 \, \text{mph}$
   • A quick jog speed.

2. 20 Feet per Second:

   • Calculate: $20 \, \text{fps} \times 0.681818 \approx 13.636 \, \text{mph}$
   • Average speed of a running person.

3. 30 Feet per Second:

   • Calculate: $30 \, \text{fps} \times 0.681818 \approx 20.455 \, \text{mph}$
   • Speed of a fast sprinter.

4. 100 Feet per Second:

   • Calculate: $100 \, \text{fps} \times 0.681818 \approx 68.182 \, \text{mph}$
   • Speed of a fast moving vehicle.

5. 200 Feet per Second:

   • Calculate: $200 \, \text{fps} \times 0.681818 \approx 136.364 \, \text{mph}$
   • Near the speed of some high-speed trains.

Summary:

• $1 \text{ fps} \approx 0.682 \text{ mph}$.
• Use the conversion factor $0.681818$.
• Multiply feet per second (fps) by 0.681818 to get the speed in miles per hour (mph).

These conversions are useful in various applications like sports, vehicle speeds, and physics problems.