# How to convert MPS to KMPH?

So, you probably just bought a new air rifle and are wondering how fast the bullet shoots. This is asked all during high school and is needed to workout velocity in physical sciences. How does one convert MPS to KMPH?

The conversion ratio for meters per second to kmph is 1 meter per second = 3.6 kilometres per hour. Therefore, MPS x 3.6 = KMPH. This conversion ratio can be used in reverse for us to determine the meters per second if we know the Kilometres per hour. Therefore, KMPH/3.6 = MPS.

This is the conversion ratio used to converts units of speed. Speed is generally measured in meter per second (symbol m/s). In Physics and Maths, we need to convert units back to m/s before we can calculate any velocity related question. Perhaps you are wanting to work out the speed of an air rifle that you recently purchased. Perhaps you need to work out the velocity of your car while you drive at 80km/h. The below formulas used can assist you with your conversion of m/s to km/h or vice versa.

## How did we arrive at the conversion ratio 1m/s =3.6kmph? – MPS to KMPH

For us to understand this more clearly, we need to think of the time and the units its mathematically measured in. To work with m/s we need to first convert the hour into seconds.

There are 60 seconds in a minute. There are 60 mins in an hour.

Therefore 60 x 60 = 3600seconds

Let us now consider the units of distance.

To work out m/s we need to then convert the kilometre into meters. There are 1000 m in a kilometre.

To then so then there are 3600 seconds in an hour and 1000 meters in a kilometre.

1m/s then would mean 3600 seconds / 1000 meters = 3.6 km/h

## Mathematically proven – MPS to KMPH

Since,

From $\frac{km}{h}$  to  $\frac{m}{s}$ :

$\frac{km}{h}$ =  $\frac{1000&space;.&space;m}{3600&space;.&space;s}$

= $\frac{km}{h}$$\frac{5.m}{18.s}$

Therefore, to convert $\frac{km}{h}$ to $\frac{m}{s}$  is multiply the number by $\frac{5}{18}$

The question though is to convert $mp/s$ to $km/h$

The question states the conversion of $\frac{m}{s}$ to $\frac{km}{h}$ :

$\frac{m}{s}$ = $\frac{\frac{1}{1000}.&space;km}{\frac{1}{3600}.&space;h}$

= $\frac{m}{s}$ = $\frac{3600&space;.&space;km}{1000&space;.&space;h}$

= $\frac{m}{s}$ = $\frac{18.&space;km}{5&space;.&space;h}$

=$\frac{18}{5}$ = $3.6$

## Examples

• Convert 18 $km/h$ into $mp/s$?

$\frac{km}{h}$ = $\frac{5.m}{18.s}$

$\frac{18}{1}$ = $\frac{5.m}{18.s}$

$mp/s$ = 5

• Convert 20 $mp/s$  into $km/h$

$\frac{m}{s}$ = $\frac{18.&space;km}{5&space;.&space;h}$

$\frac{20}{1}$ = $\frac{18.&space;km}{5&space;.&space;h}$

$km/h$ = 72

In Science and Mathematics today, if we want to calculate velocity the units we use need to be converted to m/s. It can throw off your answer completely should you use the wrong unit of measurement. Be sure to always double-check your work as this is a formula that gets shown to you briefly during high school and is taken as a given when trying to solve velocity questions.