Metres per second to Kilometres per hour conversion

How to convert metres per second to kilometres per hour?

To convert from metres per second (m/s) to kilometres per hour (km/h), you can use the following conversion factors:

1 kilometre = 1000 metres 1 hour = 3600 seconds

Given these factors, the conversion formula is:

$\text{Speed in km/h} = \text{Speed in m/s} \times \frac{3600 \text{ seconds}}{1000 \text{ metres}}$

Simplified, this ratio becomes:

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

Let's apply this to 1 metre per second:

$1\, \text{m/s} \times 3.6 = 3.6\, \text{km/h}$

So, 1 metre per second is equivalent to 3.6 kilometres per hour.

Real-world Examples

1. Walking Speed:

   • Average walking speed is about 1.4 m/s.
   • Using the formula: $1.4 \times 3.6 = 5.04 \, \text{km/h}$
   • Therefore, the average walking speed is approximately 5.04 km/h.

2. Cycling Speed:

   • Average cycling speed for a casual cyclist might be 5.5 m/s.
   • Using the formula: $5.5 \times 3.6 = 19.8\, \text{km/h}$
   • Thus, a casual cyclist can often travel at around 19.8 km/h.

3. Car Speed in City Traffic:

   • A typical speed in city traffic might be around 13.9 m/s.
   • Using the formula: $13.9 \times 3.6 = 50 \, \text{km/h}$
   • Thus, a car traveling in city traffic might go at about 50 km/h.

4. High-Speed Train:

   • Let's consider a high-speed train running at 69.4 m/s.
   • Using the formula: $69.4 \times 3.6 = 250\, \text{km/h}$
   • A high-speed train traveling at 69.4 m/s would be moving at 250 km/h.

5. Sound Speed in Air:

   • The speed of sound in air at sea level is approximately 343 m/s.
   • Using the formula: $343 \times 3.6 = 1234.8\, \text{km/h}$
   • Therefore, sound travels at about 1234.8 km/h in air.

These examples highlight how the conversion of speed from metres per second to kilometres per hour can be applied to various real-world situations, helping understand the speeds involved in everyday activities.