Our focus today is to learn how to convert km/h to m/s! These two measures of the physical quantity speed are widely used in most of the world except in the USA, Great Britain, and Australia. We often need to know how to convert from km/h to m/s or vice versa from m/s to km/h.
Physics students who solve numerical problems related to this physical quantity have this need to convert from the first to the second measure of speed or vice versa. The need can be great, so our team dedicates this post precisely to the solution of this specific mathematical-physical problem.
Formula To Convert From km/h To m/s
In this section, we will explain how to create a formula that you can use to convert from km/h to m/s.
We will go through the check step by step!
- First, to convert from kilometers to meters we need to multiply by 1000 because there are exactly 1000 meters in one kilometer!
- To convert from hours to seconds we need to multiply by 3600 (60 minutes times 60 seconds) because there are exactly 3600 seconds in an hour.
From the conclusions above, it can be easily understood that to convert from km/h to m/s, we need to multiply by a fraction that has the number 1000 in the numerator and 3600 in the denominator. Our recommendation to our readers, let’s simplify this fraction a bit, so we can divide the numerator and denominator by 100, thus cutting two zeros each. From here we can form the final formula to convert from km/h to m/s! See the image conversion formula below!
By using the formula one can easily and without any error convert from km/h to m/s for any speed value.
Examples
Below you can see some solved examples converting between these two different speed measures!
Example 1: Convert the value 72 km/h to m/s!
We start by applying the formula to convert! By substituting the value 72 in the place of x, the following expression is obtained:
In the next step, we multiply the number 72 by the numerator of the fraction – the number 10. After the multiplication, we get the following appearance of the expression:
Finally, we still have to divide the numerator and denominator of the fraction to arrive at the final solution!
After receiving the final solution, we state that:
72km/h = 20m/s
See also the second example in which the same methodology and the same formula for converting from km/h to m/s are used!
Example 2: Convert the value 18 km/h to m/s!
We start by applying the formula to convert! By substituting the value 18 in the place of x, the following expression is obtained:
In the next step, we multiply the number 18 with the numerator of the fraction – the number 10. After the multiplication, we get the following look of the expression:
Finally, we still have to divide the numerator and denominator of the fraction to arrive at the final solution!
After receiving the final solution, we state that:
18km/h = 5m/s
Final Words
As any reader can see, converting from is very easy if you know the right conversion formula as well as its origin. The very origin of this formula can help you memorize the formula permanently and never have a problem in the future when you need to convert from km/h to m/s!
This particular formula of ours is unique, on some other pages, you may see different formulas for the same conversion process, but don’t worry, no matter which formula you apply you will arrive at the correct solution, of course, if you perform correct calculations during the solution!
