How do you use dimensional analysis to figure out how many seconds are in 4 years?

All there is behind the solution is the constant stream of multiplying. This is what is all about. A conversion from one unit to another requires some sort of multiplier to change one unit to another.

Here is a list of these multipliers. ##1″in”=2.54″cm”## ##1″lb”=0.453592″kg”## ##1 ” second”=1/60 “minute”##

If you want to switch these, all you need to do is to divide the non-one value with itself and the 1 to find the other, vice versa solution.

##1″cm”=0.393701″in”## ##1″kg”=2.20462″lb”## ##1 ” minute”=60 ” seconds”##

From there, we are ready to move on. 1 minute = 60 seconds 1 hour = 60 minutes ##60″ seconds” xx 60″ minutes”=3600 ” seconds”=1″ hour”##

24 hours = 1 day 365.25 days = 1 year (to account for leap years, the likelihood of the extra day out of 4 years is added.)

##3600″ seconds” xx 24″ hours” = 86,400″ seconds”##

…and finally: ##86,400″ seconds” xx 365.25″ days” xx 4=## ##126,230,400″ seconds”##