Kilometres per hour to Metres per second conversion

How to convert kilometres per hour to metres per second?

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

1 kilometre (km) = 1000 metres (m) 1 hour (h) = 3600 seconds (s)

Using these, we can derive the conversion factor:

$1 \, \text{km/h} \times \left( \frac{1000 \, \text{m}}{1 \, \text{km}} \right) \times \left( \frac{1 \, \text{h}}{3600 \, \text{s}} \right) = \frac{1000}{3600} \, \text{m/s} = \frac{5}{18} \, \text{m/s}$

Therefore, to convert kilometres per hour to metres per second, you multiply by $\frac{5}{18}$.

For example: $1 \, \text{km/h} \times \frac{5}{18} = \frac{5}{18} \, \text{m/s} \approx 0.2778 \, \text{m/s}$

Real World Examples for Other Quantities of Kilometres per Hour:

50 km/h (typical city speed limit)

$50 \, \text{km/h} \times \frac{5}{18} = \frac{250}{18} \, \text{m/s} \approx 13.89 \, \text{m/s}$

100 km/h (highway speed limit)

$100 \, \text{km/h} \times \frac{5}{18} = \frac{500}{18} \, \text{m/s} \approx 27.78 \, \text{m/s}$

300 km/h (high-speed train)

$300 \, \text{km/h} \times \frac{5}{18} = \frac{1500}{18} \, \text{m/s} \approx 83.33 \, \text{m/s}$

10 km/h (jogging speed)

$10 \, \text{km/h} \times \frac{5}{18} = \frac{50}{18} \, \text{m/s} \approx 2.78 \, \text{m/s}$

By multiplying the speed in kilometres per hour by $\frac{5}{18}$, you can convert it to metres per second, giving you an idea of how fast the speed is in a more universally used metric system.