How do I convert 10m/s to miles per hour and kilometers per hour
The Correct Answer and Explanation is:
To convert 10 meters per second (m/s) into miles per hour (mph) and kilometers per hour (km/h), we use the following conversion factors:
✅ Conversions:
- Meters per second to kilometers per hour (km/h):
1 m/s = 3.6 km/h
So,
10 m/s × 3.6 = 36 km/h - Meters per second to miles per hour (mph):
1 m/s ≈ 2.23694 mph
So,
10 m/s × 2.23694 ≈ 22.3694 mph
✏️ Explanation
Speed is a measure of how far something travels over time. Different countries use different units of speed: in many parts of the world, kilometers per hour (km/h) are used, while in the United States and a few other countries, miles per hour (mph) is the standard. In scientific contexts and many engineering applications, meters per second (m/s) is the SI (International System of Units) standard.
To convert from meters per second to kilometers per hour, we need to understand the relationship between meters and kilometers, and seconds and hours. There are 1,000 meters in a kilometer and 3,600 seconds in an hour. So, moving from meters per second to kilometers per hour means multiplying the speed in m/s by: 1 km1,000 m×3,600 s1 hr=3.6\frac{1 \text{ km}}{1,000 \text{ m}} \times \frac{3,600 \text{ s}}{1 \text{ hr}} = 3.6
That’s why 10 m/s = 10 × 3.6 = 36 km/h.
For miles per hour, it’s slightly more complex. There are approximately 1,609.34 meters in a mile. So we convert meters per second to miles per hour using: 1 m/s=1 m/s×3,600 s/hr1,609.34 m/mi≈2.23694 mph1 \text{ m/s} = \frac{1 \text{ m/s} \times 3,600 \text{ s/hr}}{1,609.34 \text{ m/mi}} \approx 2.23694 \text{ mph}
So, 10 m/s × 2.23694 = 22.37 mph (rounded).
These conversions are important in physics, engineering, and everyday life, especially when interpreting speed limits, athletic performance, or machine speeds across different measurement systems.
