An online kilometers per hour (km/h) and meters per second (m/s) conversion calculator is presented. Examples and problems involving the conversion of km/h and m/s are also included.
Given that:
\[ 1 \text{ km} = 1000 \text{ m} \] \[ 1 \text{ hour} = 3600 \text{ seconds} \]We have:
\[ 1 \text{ km/h} = \dfrac{1 \times 1000 \text{ m}}{3600 \text{ s}} = \left(\frac{5}{18}\right) \text{ m/s} \]and
\[ 1 \text{ m/s} = \left(\frac{18}{5}\right) \text{ km/h} = 3.6 \text{ km/h} \]The speed \( S \) of a car is \( 100 \, \text{km/h} \). What is the speed of this car in \( \text{m/s} \)? Round the answer to the nearest unit.
Rounding to the nearest unit:
\[ S = 28 \, \text{m/s} \]A car is traveling at \( 27 \, \text{m/s} \) and a second car is traveling at \( 90 \, \text{km/h} \). Which car is traveling faster?
Convert \( 27 \, \text{m/s} \) to \( \text{km/h} \):
\[ 27 \, \text{m/s} = 27 \times 3.6 \, \text{km/h} = 97.2 \, \text{km/h} \]Comparing \( 97.2 \, \text{km/h} \) with \( 90 \, \text{km/h} \), the first car is traveling faster.
Conclusion: The car traveling at \( 27 \, \text{m/s} \) is faster.
Enter the number of km/h or m/s to perform conversions.
The speed of light is equal to \( 299,792,458 \, \text{m/s} \). What is the speed of light in km/h?
What is the ratio \( R \) of the speed of light (which is equal to \( 299,792,458 \, \text{m/s} \)) to the speed of sound (which is \( 1,234.8 \, \text{km/h} \))? How much faster is the speed of light compared to the speed of sound?
First, convert the speed of sound to m/s:
\[ 1,234.8 \, \text{km/h} = 1,234.8 \times \left(\frac{5}{18}\right) = 343 \, \text{m/s} \]The ratio \( R \) is given by:
\[ R = \dfrac{299,792,458 \, \text{m/s}}{343 \, \text{m/s}} \approx 874,030.489796 \]Rounding to the nearest unit:
\[ R = 874,030 \]The speed of light is 874,030 times faster than the speed of sound.
The speed of Mach 1 corresponds to the speed of sound. A high-speed jet fighter has a speed of Mach 2.1. What is the speed of the jet fighter in km/h given that the speed of sound is equal to \( 343 \, \text{m/s} \)? Round the answer to the nearest unit.
The speed \( S \) of the jet fighter in m/s is:
\[ S = 2.1 \times 343 \, \text{m/s} = 720.3 \, \text{m/s} \]Convert \( S \) to km/h:
\[ S = 720.3 \times 3.6 \, \text{km/h} = 2,593.08 \, \text{km/h} \]Rounding to the nearest unit:
\[ S = 2,593 \, \text{km/h} \]