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
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 $= 90times frac{5}{18}$ 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 $= 72times frac{5}{18} = 20$ m/s