HOW TO CONVERT FROM KM / H TO H / S? - MATHS - 2024

To know how to convert from km / h to h / s, you need to do a mathematical operation that uses the equivalences between kilometers and meters, and between hours and seconds.

The method that will be used to convert from kilometers per hour (km / h) to meters per second (m / s) can be applied to transform a certain unit of measure into another, as long as the respective equivalences are known.

When going from km / h to h / s, two conversions of measurement units are being carried out. This is not always the case, since there may be a case in which it is only necessary to convert one unit of measure.

For example, if you want to go from hours to minutes, you are only performing one conversion, just like when you convert from meters to centimeters.

Basics for converting from km / h to h / s

The first thing you need to know is the equivalence between these units of measurement. That is, you must know how many meters there are in a kilometer and how many seconds there are in an hour.

These conversions are as follows:

- 1 kilometer represents the same length as 1000 meters.

- 1 hour is 60 minutes, and each minute consists of 60 seconds. Therefore, 1 hour is 60 * 60 = 3600 seconds.

Conversion

We start from the assumption that the quantity to be converted is X km / h, where X is any number.

To go from km / h to h / s, the entire amount must be multiplied by 1000 meters and divided by 1 kilometer (1000m / 1km). Also, it must be multiplied by 1 hour and divided by 3600 seconds (1h / 3600s).

In the previous process is where the importance of knowing the equivalences between the measures lies.

Therefore, X km / h is the same as:

X km / h * (1000m / 1km) * (1h / 3.600s) = X * 5/18 m / s = X * 0.2777 m / s.

The key to doing this measurement conversion is:

- Divide by the unit of measurement that is in the numerator (1 km) and multiply by the unit equivalent to the one you want to transform (1000 m).

- Multiply by the unit of measurement that is in the denominator (1 h) and divide by the unit equivalent to the one you want to transform (3600 s).

Examples

First example

A cyclist goes at 18 km / h. How many meters per second is the cyclist going?

To answer it is necessary to convert the units of measure. Using the previous formula it turns out that:

18 km / h = 18 * (5/18) m / s = 5 m / s.

Therefore, the cyclist is going at 5 m / s.

Second example

A ball is rolling downhill at a speed of 9 km / h. How many meters per second does the ball roll?

Again, when using the previous formula you have to:

9 km / h = 9 * (5/18) m / s = 5/2 m / s = 2.5 m / s.

In conclusion, the ball is going to roll at 2.5 m / s.

Third example

Two vehicles go on an avenue, one red and one green. The red vehicle travels at 144 km / h and the green vehicle travels at 42 m / s. Which vehicle travels the fastest?

In order to answer the question asked, both speeds must be in the same unit of measurement, in order to compare them. Either of the two conversions is valid.

Using the formula written above, the speed of the red vehicle can be taken to m / s as follows:

144 km / h = 144 * 5/18 m / s = 40 m / s.

Knowing that the red vehicle travels at 40 m / s, it can be concluded that the green vehicle travels faster.

The technique used to convert from km / h to h / s can be applied in a general way to convert units of measurement into others, always keeping in mind the respective equivalences between the units.

References

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2. Bustillo, AF (1866). Elements of Mathematics. scored by Santiago Aguado.
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