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How to convert kilometre per hour to metre per second.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Metre per second (m/s) is the standard unit of speed in the International System of Units (SI) for measuring. It represents the speed by indicating the distance travelled in metres within one second. The abbreviation for metres per second can be either m/s or m/sec. For instance, 1 metre per second can be denoted as 1 m/s or 1 m/sec.

Similarly, kilometre per hour (km/h) is another unit of speed. It is often abbreviated as km/h, and sometimes as kph. For example, 1 kilometre per hour can be written as 1 km/h or 1 kph. Kilometres per hour indicate the speed by expressing the distance covered in kilometres during the span of one hour.

Steps to Convert kilometre per hour to metre per second

To convert kilometre per hour (km/h) to metre per second (m/s), we can consider the following conversion factors:

1 kilometre = 1000 metre

1 hour = 3600 seconds

Now, let’s go through the steps to convert km/h to m/s:

  1. Start with the given speed in kilometre per hour (km/h).
  2. Multiply the value by 1000 to convert kilometre to metre.
  3. Divide the result by 3600 to convert hours to seconds.

Here’s the formula for the conversion:

1 km/h = (1000/3600) m/s

Converting kilometre per hour to metre per second

Solution:

To convert a measurement in kilometre per hour to metre per second, you multiply the speed by the conversion ratio.

Since one kilometre per hour equals 1 km/h, which is equal to 1 × 1000 m / (60 × 60 sec) = 1000/3600 m/s = 5/18 m/s.

Therefore, to convert km/h to m/s, you can multiply the value by 5/18.

In summary, the speed in metre per second is obtained by multiplying the speed in kilometre per hour by 5/18.

Summary:

How to convert kilometre per hour to metre per second.

Multiplying the speed by the conversion ratio will yield the conversion from km per hour to metres per second. For values in m/sec, we multiply km/hr by 5/18.

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