#### Question

# How to convert 10 m/s into km/h?

How to convert 10 m/s into km/h?

#### Answers

There are 1000 meters in 1 kilometer, so 10 meters is equivalent to 10/1000 = 0.01 kilometers.

There are 60 seconds in a minute and 60 minutes in an hour, so 1 second = 1/(60*60) = 1/3600 hour.

10 m/s = 0.01 km / (1/3600 h) = 36 km per hour

#1

multiply by 1000/3600

#2

Multiply by the number of kilometers per meter, and by the number of seconds per hour.

You can treat the symbols for the dimensions -- s, hr, m, km -- as if they were cancelable factors, as in algebra.

So the first calculation is (10 m/s)(1 km/1000 m) = 1/100 km/s.

The next is (1/100 km/s)(3600 s/1 hr) = 36 km/hr.

#3