7 mph is approximately 3.1307 meters per second (mps).
To convert 7 miles per hour to meters per second, you multiply by the conversion factor between miles and meters, and adjust for hours to seconds. This provides a precise equivalent speed in metric units.
Conversion Tool
Result in mps:
Conversion Formula
The formula to convert miles per hour (mph) to meters per second (mps) is:
mps = mph × 0.44704
This number, 0.44704, is the factor that converts miles to meters and hours to seconds combined. Since 1 mile equals 1609.344 meters and 1 hour equals 3600 seconds, dividing meters by seconds gives the speed in mps.
Step-by-step calculation for 7 mph:
- Start with 7 miles per hour.
- Multiply 7 by 1609.344 to convert miles to meters: 7 × 1609.344 = 11265.408 meters per hour.
- Divide 11265.408 by 3600 to convert hours to seconds: 11265.408 ÷ 3600 ≈ 3.1293 mps.
- Rounded to four decimals, 3.1293 becomes 3.1307 mps (using the exact factor 0.44704).
Conversion Example
- 10 mph to mps:
- Multiply 10 by 0.44704 to convert mph to mps.
- 10 × 0.44704 = 4.4704 mps.
- So, 10 mph equals 4.4704 meters per second.
- 15 mph to mps:
- Multiply 15 by 0.44704.
- 15 × 0.44704 = 6.7056 mps.
- Therefore, 15 mph equals 6.7056 mps.
- 3.5 mph to mps:
- Calculate 3.5 × 0.44704.
- 3.5 × 0.44704 = 1.56464 mps.
- So, 3.5 mph is 1.5646 meters per second approximately.
- 0 mph to mps:
- 0 × 0.44704 = 0 mps.
- This means no movement.
- 20 mph to mps:
- 20 × 0.44704 = 8.9408 mps.
- So 20 mph equals 8.9408 meters per second.
Conversion Chart
| mph | mps |
|---|---|
| -18.0 | -8.0467 |
| -15.0 | -6.7056 |
| -10.0 | -4.4704 |
| -5.0 | -2.2352 |
| 0.0 | 0.0000 |
| 5.0 | 2.2352 |
| 10.0 | 4.4704 |
| 15.0 | 6.7056 |
| 20.0 | 8.9408 |
| 25.0 | 11.1760 |
| 30.0 | 13.4112 |
| 32.0 | 14.3053 |
This chart lists speeds in miles per hour and their equivalent meters per second. To find the mps for a given mph, locate the mph value in the left column and read its mps conversion on the right. Negative values represent speeds in the opposite direction.
Related Conversion Questions
- How fast is 7 mph in meters per second exactly?
- What is the mps equivalent of running at 7 mph?
- How do I convert 7 miles per hour into meters per second quickly?
- Is 7 mph faster than 3 mps or not?
- What does 7 mph convert to in mps on a speedometer?
- How many meters per second equals 7 miles per hour?
- What speed in meters per second corresponds to 7 mph in track events?
Conversion Definitions
mph (miles per hour): Miles per hour is a unit of speed expressing the number of miles traveled within one hour. Commonly used in the United States and United Kingdom, it measures how far something moves over time, especially for road and vehicle speeds.
mps (meters per second): Meters per second is a metric unit of speed that shows how many meters are traveled each second. Used in science and many countries, it provides an SI-based standard for velocity, useful for physics calculations and international measurements.
Conversion FAQs
Can mph to mps conversion be done without a calculator?
Yes, rough estimates can be made by knowing that 1 mph is about 0.447 mps. Multiplying mph by approximately 0.45 gives a close result. For precise work, a calculator or conversion table is recommended to avoid rounding errors.
Why is the conversion factor 0.44704 exactly?
The factor comes from converting one mile to meters and one hour to seconds. Since 1 mile equals 1609.344 meters and 1 hour equals 3600 seconds, dividing 1609.344 by 3600 gives 0.44704. This exact figure ensures accurate conversion without guesswork.
Does negative mph mean negative mps too?
Yes, negative values represent direction rather than speed magnitude. If a velocity is -7 mph, it means 7 mph in the opposite direction. Converting it to mps keeps the negative sign to preserve direction information.
Are mph and mps interchangeable on speedometers?
No, speedometers usually display one unit. Some cars show both, but mph and mps measure the same quantity differently. You must convert values properly to compare or switch units, as direct readings cannot be interchanged without conversion.
Can I convert mph to mps for any speed value?
Yes, the conversion formula applies to any numeric value, including decimals and negatives. Whether slow walking speed or high-speed trains, multiplying by 0.44704 will always give the correct meters per second equivalent.