Video Transcript
What is 170 metres per second squared in kilometers per hour per second?
Both of our units in this question, metres per second squared and kilometers per hour per second, are measures of acceleration. In order to convert from one to the other, we need to know our standard units of conversion. There are 1000 metres in one kilometer. This means that in order to convert an acceleration in metres per second squared to kilometers per second squared, we need to divide by 1000. Dividing 170 by 1000 gives us 0.17, as all the digits move three places to the right. 170 metres per second squared is the same as 0.17 kilometers per second squared.
There are 60 seconds in one minute. There are also 60 minutes in one hour. 60 multiplied by 60 is equal to 3600. This means that there are 3600 seconds in one hour. We can, therefore, convert from kilometers per second squared to kilometers per hour per second by multiplying by 3600. We multiply as we would cover more kilometers per hour, or in one hour, then we would per second. In this question, we need to multiply 0.17 by 3600. This is equal to 612. 0.17 kilometers per second squared is equal to 612 kilometers per hour per second.
170 metres per second squared in kilometers per hour per second is 612.