Question

How do you convert 29.5 meters per second to kilometers per hour?

Answer 1

Hint:We know that every minute has 60 seconds and every hour has 60 minutes. Also, every kilometer has 1000 meters. With the help of simple conversion, we can solve the problem. Simply here we need to convert meters per second to kilometers per hour. For this unit which is given you need to use a specific formula to convert. Moreover, this is used for measuring the speed of any moving object or body.

Complete step by step solution:
We know that,
$ \Rightarrow $1 Kilometre = 1000 meters
We also know that,
$ \Rightarrow $1 hour = 3600 seconds (60 minutes \[ \times \] 60 seconds)
To convert meter to kilometre we will divide with 1000, we get,
$ = \dfrac{1}{{1000}}{\text{km}}$
Let this be the equation (i)
And to convert second to hour we will do multiplication with 3600 (60 minutes \[ \times \] 60 seconds), we get,
\[ = 1 \times 3600{\text{hr}}\]
Let this be the equation (ii)
To convert m/s to km/hr, we will merge the equation (i) and (ii), we get,
$ = \dfrac{{3600}}{{1000}}$
We are calculating m/s into km/hr, therefore we will multiply the speed which is in m/s that is, 29.5 with $\dfrac{{3600}}{{1000}}$
Here, we are calculating 29.5 m/s into km/hr.

$\therefore $ \[\dfrac{{\left( {29.5{\text{ }} \times 3600} \right)}}{{1000}}{\text{ }} = {\text{ }}106.2{\text{ km/hr}}\].

Additional Information:
The kilometre is used for measurement of distance while minute is used for measurement of time. The smallest division of distance is millimetre. 1 mm = \[1{\text{ }} \times {\text{ }}{10^{ - 6}}\]. While the smallest division of the time is zeptosecond. 1 zeptosecond = \[1{\text{ }} \times {\text{ }}{10^{ - 21}}\].

Note: Remember, while conversion does not forget the formula. For converting km/hr into m/s multiply the number with 1000/3600 and for converting m/s to km/hr multiple with 3600/1000. Also, speed can be calculated by dividing the distance by a time that is,
$ \Rightarrow {\text{Speed = }}\dfrac{{{\text{Distance}}}}{{{\text{Time}}}}$.