Understanding Speed Conversion
To convert between kilometers per hour (km/h) and meters per second (m/s), you can use specific conversion factors. The fraction 5/18 is particularly useful for this purpose.
Why Use 5/18?
- Conversion Factor:
- 1 km is equal to 1000 meters, and 1 hour is equal to 3600 seconds.
- Therefore, to convert km/h to m/s, you multiply by 5/18.
- Conversely, to convert m/s to km/h, you multiply by 18/5.
Conversion from km/h to m/s
- Formula:
- Speed in m/s = Speed in km/h × 5/18
- Example: If a car travels at 90 km/h:
- 90 × 5/18 = 25 m/s
Conversion from m/s to km/h
- Formula:
- Speed in km/h = Speed in m/s × 18/5
- Example: If a runner is moving at 10 m/s:
- 10 × 18/5 = 36 km/h
Practical Applications
- Real-Life Use:
- Understanding these conversions helps in various fields like sports, engineering, and daily commuting.
- It is essential for calculations involving speed limits, travel times, and performance metrics.
Conclusion
Using 5/18 is an effective way to convert between km/h and m/s. Familiarity with these conversions enhances comprehension of speed and velocity in different contexts.