user

What is the formula to convert meters per second to kilometers per hour?

alphonsio

The formula to convert **meters per second [m/s]** to **kilometres per hour [km/h]** is given by:

$v_{(km/h)} = 3.6 \times v_{ (m/s) }$

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:

$\text{Speed in km/h} = \text{Speed in m/s} \times 3.6$

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)**.

$v_{(km/s)} = \frac{ v_{(m/s)}}{1000}$

- Let's now convert
**kilometers per second (km/s)**to**kilometers per hour (km/h)**.

$v_{(km/h)} = 3600 \times v_{(km/s)}$

- By merging both conversion, we get:

$v_{(km/h)} = \frac{3600}{1000} \times v_{(m/s)}$

$v_{(km/h)} = 3.6 \times v_{(m/s)}$

So, the formula is:

$\text{Speed in km/h} = \text{Speed in m/s} \times 3.6$

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:**$10 \, \text{m/s}$**Use the formula:**

$\text{Speed in km/h} = \text{Speed in m/s} \times 3.6$

**Substitute the value:**

$\text{Speed in km/h} = 10 \, \text{m/s} \times 3.6 = 36 \, \text{km/h}$

**Conclusion:** a speed of **10 m/s** is equal to **36 km/h**.