The formula to convert meters per second [m/s] to kilometres per hour [km/h] is given by:
v(km/h)=3.6×v(m/s)
Where:
- v(m/s) is the linear speed expressed in meters per second
- v(km/h) is the linear velocity expressed in kilometres per hour.
Here is an online converter from m/s to km/h
To convert meters per second (m/s) to kilometers per hour (km/h), you use the following formula:
Speed in km/h=Speed in m/s×3.6
Explanation:
The relationship between meters per second (m/s) and kilometers per hour (km/h) is based on unit conversion:
- 1 kilometer (km) equals 1,000 meters (m).
- 1 hour equals 3,600 seconds.
Let's detail the conversion step by step :
- Let's convert meters per second (m/s) to kilometers per second (km/s).
v(km/s)=1000v(m/s)
- Let's now convert kilometers per second (km/s) to kilometers per hour (km/h).
v(km/h)=3600×v(km/s)
- By merging both conversion, we get:
v(km/h)=10003600×v(m/s)
v(km/h)=3.6×v(m/s)
So, the formula is:
Speed in km/h=Speed in m/s×3.6
Example:
Let's say you have a speed of 10 meters per second (m/s), and you want to convert it to kilometers per hour (km/h).
- Given speed: 10m/s
- Use the formula:
Speed in km/h=Speed in m/s×3.6
- Substitute the value:
Speed in km/h=10m/s×3.6=36km/h
Conclusion: a speed of 10 m/s is equal to 36 km/h.