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 dimensional analysis 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.
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.
From there, we are ready to move on.
1 minute = 60 seconds
1 hour = 60 minutes
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.)