Miles per hour to Metres per second conversion

How to convert miles per hour to metres per second?

Sure, I'd be happy to explain how to convert miles per hour (mph) to meters per second (m/s)!

Conversion Process

1. Conversion Factors:

   • 1 mile = 1,609.34 meters
   • 1 hour = 3,600 seconds

2. Conversion Calculation: To convert mph to m/s, you can use the following formula:

   $\text{Speed (m/s)} = \text{Speed (mph)} \times \frac{1,609.34 \text{ meters}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3,600 \text{ seconds}}$

3. Simplifying the Fraction: $\text{Speed (m/s)} = \text{Speed (mph)} \times \frac{1,609.34}{3,600}$

4. Numeric Calculation: $1 \text{ mph} = 1 \times \frac{1,609.34}{3,600} = 0.447 \text{ m/s}$

So, 1 mile per hour is approximately 0.447 meters per second.

Real-World Examples for Other Quantities of Miles per Hour

• 30 mph: $30 \text{ mph} = 30 \times 0.447 \text{ m/s} = 13.41 \text{ m/s}$ Real-world example: Typical speed limit for city driving.

• 60 mph: $60 \text{ mph} = 60 \times 0.447 \text{ m/s} = 26.82 \text{ m/s}$ Real-world example: Speed commonly seen on highways.

• 100 mph: $100 \text{ mph} = 100 \times 0.447 \text{ m/s} = 44.70 \text{ m/s}$ Real-world example: Speed of high-performance sports cars on a race track.

Invalid Speeds (Negative speeds or extremely high speeds):

• -5 mph: $-5 \text{ mph} = -5 \times 0.447 = -2.235 \text{ m/s}$ Negative speeds usually indicate movement in the opposite direction.

• 300 mph: $300 \text{ mph} = 300 \times 0.447 \text{ m/s} = 134.10 \text{ m/s}$ Real-world example: Airplanes during takeoff or high-speed jets.

These are some examples and explanations of how to convert miles per hour to meters per second, as well as some context for different speeds.