Video Transcript
What is 27 meters per hour per second in centimeters per second squared?
When converting a quantity from one unit to another, it’s often a good idea to write the entire product or fraction out in full. In this example, we have 27 times one meter divided by one hour all divided by one second. To convert meters per hour per second into centimeters per second squared, we need to convert meters into centimeters and hours into seconds. So one meter is equal to 100 centimeters, and one hour is equal to 3600 seconds. So this gives us 2700 centimeters divided by 3600 seconds all divided by one second.
Multiplying the numerator and denominator by 3600 seconds gives us 2700 centimeters over 3600 seconds squared. 2700 divided by 3600 gives us three-quarters, and centimeters divided by second squared gives us centimeters per second squared. So we have 27 meters per hour per second equals three-quarters centimeters per second squared.
