Speed Converter
Convert between Kilometers per hour (km/h), standard SI unit Meters per second (m/s), Miles per hour (mph), Feet per second (fps), and Knots (kt) in real time.
How to Convert Speed Units
Direct Answer: To convert speed from Kilometers per Hour (km/h) to the standard SI unit of Meters per Second (m/s), divide the value by 3.6. Conversely, to convert from m/s to km/h, multiply by 3.6.
Derivation & Mathematical Formula
The relationship between kilometers per hour and meters per second is derived directly from base metrics:1 Kilometer = 1,000 Meters1 Hour = 3,600 Seconds
Substituting these metrics into the ratio gives:
1 km/h = 1,000 meters / 3,600 seconds = 1 / 3.6 m/s ≈ 0.27778 m/s
For example, if you want to convert 2 km/h into meters per second:
2 km/h = (2 × 1,000m) / 3,600s = 2 / 3.6 m/s ≈ 0.55556 m/s
Speed Units Overview
- Meter per second (m/s): The standard International System of Units (SI) unit of speed, representing the distance covered in meters in one second.
- Kilometer per hour (km/h): A metric unit commonly used for road signs and vehicle speedometers globally.
- Mile per hour (mph): The standard imperial unit of speed, representing the distance covered in miles in one hour.
- Foot per second (fps): A unit of speed expressing the distance covered in feet in one second, often used in ballistics.
- Knot (kt): A non-SI unit of speed equal to one nautical mile per hour (exactly 1.852 km/h). Used in marine and aviation navigation.
Speed Unit Conversion Table
| Convert From | Convert To | Formula / Factor |
|---|---|---|
| Kilometers per Hour (km/h) | Meters per Second (m/s) | Divide by 3.6 |
| Meters per Second (m/s) | Kilometers per Hour (km/h) | Multiply by 3.6 |
| Miles per Hour (mph) | Meters per Second (m/s) | Multiply by 0.44704 |
| Feet per Second (fps) | Meters per Second (m/s) | Multiply by 0.3048 |
| Knots (kt) | Meters per Second (m/s) | Multiply by 0.51444 (exactly 1.852 / 3.6) |
Frequently Asked Questions (FAQ)
How do you convert km/h to m/s?
To convert kilometers per hour (km/h) to meters per second (m/s), divide the speed value by 3.6. The formula is: m/s = (km/h × 1000) / 3600 = km/h / 3.6.
What is the standard SI unit of speed?
The standard SI unit of speed and velocity is the meter per second (symbol: m/s or m·s⁻¹).
What is the conversion ratio from mph to m/s?
To convert miles per hour (mph) to meters per second (m/s), multiply the speed by 0.44704. For example, 60 mph is exactly 26.8224 m/s.
Why is 1 km/h equal to 1/3.6 m/s?
Since 1 kilometer equals 1,000 meters, and 1 hour equals 3,600 seconds, the conversion is: 1 km/h = 1000m / 3600s = 1 / 3.6 m/s ≈ 0.27778 m/s.