km/h to m/s – Definition, Conversion, Formula, Examples, FAQs

What Is kmph to mps?

The abbreviation “kmph to mps” stands for “kilometers per hour to meters per second.” 

Speed is defined as the ratio of the distance covered by the time taken. 

$Speed = \frac{Distance}{Time}$

Kilometer and meter are metric units of distance. Second is the SI base unit of time, whereas hour is an accepted unit of time in the SI system. The kmph to mps conversion refers to converting a given speed in km/h to m/s.

What Is km/h?

kmph $=$ km/h $=$ kilometer per hour

Note that km/h is the unit of speed expressed in terms of kilometers (km) and hours (h). km/h represents the distance in kilometers traveled in one hour. This unit is preferred to express the speed of vehicles, such as cars, trains, etc.

What Is m/s?

mps $=$ m/s $=$ meter per second

Note that m/s is the unit of speed expressed in terms of meters (m) and seconds (s). It represents the distance in meters traveled in one second. The S.I. unit of speed is m/s. This unit is preferred mostly in scientific calculations, in physics and engineering, etc.

Formula to Convert kmph to mps

The formula to convert km/h to m/s is given by

(Speed in km/h) $\times \frac{5}{18} =$ Speed in m/s

Since $\frac{5}{18} = 0.27777$…, we can approximate it as 0.28.

(Speed in km/h) $\times 0.28 =$ Speed in m/s 

Derivation of the km/h to m/s Conversion Formula

We know that 1000 meters make 1 kilometer.

Thus, 1 kilometer $= 1000$ meters

Next, we know that the relationship between the units of time is given by 

1 hour $= 60$ minutes and 1 minute $= 60$ seconds

Thus, 1 hour $= 3600$ seconds

1 km/h $= \frac{1000}{3600}$ m/s 

1 km/h $= \frac{5}{18}$ m/s 

1 km/h $= 0.28$ m/s

Thus, to convert kmph to mps, multiply the given value by $\frac{5}{18}$ or 0.28.

How to Convert kmph to mps

Let’s understand the steps to convert km/h to m/s.

Step 1: Note down the given speed in km/h.

Step 2: Multiply it by $\frac{5}{18}$ or 0.28

Step 3: Simplify and assign the unit of m/s.

Note that you can also multiply the given number by $\frac{1000}{3600}$ if it is convenient to use.

Example 1: Convert 2 km/h to m/s.

2 km/ h $= 2 \times \frac{5}{18}$ m/s $= \frac{5}{9}$ m/s $= 0.56$ m/s

Example 2: 100 km/h in m/s 

$100 \times \frac{1000}{3600}$ m/s $= \frac{1000}{36}$ m/s $= 27.8$ m/s

Example 3: Convert 108 km per hour to meters per second. 

$108 \times \frac{5}{18}$ m/s $= 30$ m/s

km/h to m/s Conversion Table

kmph(km/h)	mps(m/s)
1 kmph	0.277778 mps
2 kmph	0.555556 mps
3 kmph	0.833333 mps
4 kmph	1.111111 mps
5 kmph	1.388889 mps
6 kmph	1.666667 mps
7 kmph	1.944444 mps
8 kmph	2.222222 mps
9 kmph	2.50 mps
10 kmph	2.777778 mps
20 kmph	5.555556 mps
30 kmph	8.333333 mps
40 kmph	11.111111 mps
50 kmph	13.888889 mps
60 kmph	16.666667 mps
70 kmph	19.444444 mps
80 kmph	22.222222 mps
90 kmph	25 mps
100 kmph	27.777778 mps
200 kmph	55.555556 mps
300 kmph	83.333333 mps
400 kmph	111.111111 mps
500 kmph	138.888889 mps
600 kmph	166.666667 mps
700 kmph	194.444444 mps
800 kmph	222.222222 mps
900 kmph	250 mps
1,000 kmph	277.777778 mps
1 kmph	0.277778 mps
2 kmph	0.555556 mps

Conclusion

In this article, we learned the km/h to m/s conversion formula, derivation, chart, and steps. Let’s solve a few examples and practice problems based on these concepts.

Facts about kmph to mps Conversion

Solved Examples on kmph to mps Conversion

1. Ron is driving a car at a speed of 90 km/h. What is the speed of the car in m/s? 

Solution:

Speed of car in km/h $= 90$ km/h

Multiply by 518 to convert into m/s.

90 km/h $= 90\times \frac{5}{18}$ m/s $= 25$ m/s

Thus, Ron is driving at 25 m/s.

2. Which speed is greater? 20 km/h or 10 m/s?

Solution: 

To compare both speeds, we need to bring them into the same unit of measurement. Let’s convert 20 km/h to m/s.

20 km/s $= 20 \times \frac{5}{18} = 5.5$ m/s

Comparing 5.5 m/s and 10 m/s, we get

5.5 m/s $\lt\; 10$ m/s

Thus, 10 m/s is greater than 20 km/h. 

3. Harry was running at a speed of 7.5 m/s, and Ron was running at a speed of 25 km/h. Who will win the race? (Assume that their speed remains constant throughout the race.)

Solution:

To compare the speeds of Harry and Ron, we have to bring them into the same unit of measurement.

Henry’s speed $= 7.5$ m/s

Ron’s speed $= 25$ km/h

Ron’s speed in m/s $= 25 \times \frac{5}{18} = 6.9$ m/s

Comparing 7.5 m/s and 6.9 m/s, we get

 7.5 m/s $\gt\; 6.9$ m/s

Henry’s speed $\gt$ Ron’s speed

Therefore, Harry will win the race as he is running faster.

4. Convert 10 m/s into km/h.

Solution:

To convert m/s into km/h, we multiply the speed in m/s by 185.

10 m/s $= 10 \times \frac{18}{5} = 36$ km/h

5. Convert 72 km/h into m/s.

Solution:

To convert km/h into m/s, we multiply the speed in m/s by 518.

72 km/h $= 72\times \frac{5}{18} = 20$ m/s

Practice Problems on kmph to mps Conversion

Frequently Asked Questions on kmph to mps Conversion