how does the formula of converting km/h to m/s equals to divided by 3.6?
To convert kilometers per hour (km/h) to meters per second (m/s), you divide the value in km/h by 3.6.
This formula is derived from the conversion factors between kilometers and meters, and hours and seconds:
1 kilometer is equal to 1000 meters (1 km = 1000 m)
1 hour is equal to 3600 seconds (1 hr = 3600 sec)
So, when dividing km/h by 3.6, you are essentially multiplying the value by (1000 m / 3600 sec) or simplifying, (5/18). This conversion factor allows you to change the units from kilometers per hour to meters per second.
Here is the math behind it:
km/h ÷ 3.6 = (km/h) × (1 m / 1000 km) × (1 hr / 3600 sec)
Simplifying, you get:
(km/h) × (1/1000) × (1/3600) = (km/h) × (5/18)
Therefore, dividing km/h by 3.6 is equivalent to multiplying by (5/18) and provides the conversion from km/h to m/s.
To convert kilometers per hour (km/h) to meters per second (m/s), you need to divide the value in km/h by 3.6. This conversion is derived from the relationship between the two units of measurement.
To understand why we divide by 3.6, let's break it down step by step:
1. The unit "kilometer" (km) represents 1,000 meters. This means that 1 km is equal to 1,000 m.
2. The unit "hour" (h) represents 60 minutes. Since there are 60 minutes in an hour, we can also say that 1 hour is equal to 60 minutes.
3. To convert km/h to m/s, we need to cancel out the "kilometer" and "hour" units and convert them to "meter" and "second" units, respectively. To do this, we need to find the conversion factor that relates kilometers to meters and hours to seconds.
4. Since 1 km is equal to 1,000 m, we can write the conversion factor as 1 km = 1000 m.
5. Similarly, since 1 hour is equal to 60 minutes, and 1 minute is equal to 60 seconds, we can write the conversion factor as 1 hour = 60 minutes = 60 seconds.
6. Now, we combine the two conversion factors to find the final conversion factor from km/h to m/s:
- (1 km / 1 hr) = (1000 m / 60 min) = (1000 m / 3600 s).
7. To simplify this further, we divide both the numerator and denominator by 100. This gives us:
- (1 km / 1 hr) = (10 m / 36 s).
8. And, to make it more convenient, we divide both the numerator and denominator by 10. This gives us:
- (1 km / 1 hr) = (1 m / 3.6 s).
9. Therefore, to convert km/h to m/s, you divide the value in km/h by 3.6. This is why the formula for conversion is:
- m/s = km/h / 3.6.
So, by dividing the value in km/h by 3.6, you can convert it to m/s.
To understand why the formula for converting kilometers per hour (km/h) to meters per second (m/s) is dividing by 3.6, let's break it down:
1 kilometer is equal to 1000 meters.
1 hour is equal to 3600 seconds (60 minutes x 60 seconds).
So, to convert km/h to m/s, we need to find out how many meters are covered in one second, instead of one hour.
Let's consider a scenario:
If a car travels at 60 km/h, it means that it covers 60 kilometers in one hour.
To find out how many meters are covered in one second, we need to divide the distance covered in one hour (60 kilometers) by the number of seconds in an hour (3600 seconds):
60 kilometers / 3600 seconds = 0.01667 kilometers per second
However, we need to convert this distance from kilometers to meters. Since there are 1000 meters in one kilometer, we multiply 0.01667 kilometers by 1000 to convert it to meters:
0.01667 kilometers * 1000 = 16.67 meters per second
So, a car traveling at 60 km/h is equivalent to 16.67 m/s.
To simplify this process, we can see that dividing the kilometers by 3.6 gives us the same result:
60 kilometers / 3.6 = 16.67 meters per second
This is why the formula for converting km/h to m/s is to divide by 3.6. It allows us to convert the speed from a larger unit (kilometers) to a smaller unit (meters) and also takes into account the conversion from hours to seconds.