Why Do We Multiply by 5/18 to Convert km/h to m/s?

Learn why multiplying by 5/18 converts speed from kilometers per hour to meters per second accurately and easily.

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We multiply by 5/18 to convert a speed from kilometers per hour (km/h) to meters per second (m/s). This conversion is necessary because 1 km equals 1000 meters and 1 hour equals 3600 seconds. Thus, to convert km/h into m/s, you divide the number of kilometers by 3.6 (which simplifies to 5/18), providing a practical method to quickly and accurately adjust speed measurements into a smaller, often more useful unit, especially in scientific and technical contexts.

FAQs & Answers

  1. Why is the factor 5/18 used to convert km/h to m/s? The factor 5/18 is used because 1 kilometer equals 1000 meters and 1 hour equals 3600 seconds. Dividing 1000 by 3600 simplifies to 5/18, which adjusts the units from km/h to m/s.
  2. How do I convert 90 km/h into m/s? To convert 90 km/h to m/s, multiply 90 by 5/18, resulting in 25 m/s.
  3. What is the difference between km/h and m/s? Kilometers per hour (km/h) measures speed over kilometers in one hour, while meters per second (m/s) measures speed in meters per one second. m/s is commonly used in scientific contexts for precision.

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For further understanding, consider exploring related topics such as converting other speed units like miles per hour to meters per second, or learning about basic physics concepts involving motion and velocity measurements.

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