00:01
In this question, we're asked to calculate how many years older we will be one giga second from now.
00:08
So the first thing we need to know is what a giga second is.
00:11
And of course, one giga second is equal to a billion seconds, which is one times 10 to the nine seconds.
00:22
And once we know that, all we really need to do is apply a series of conversion factors to take us from seconds to years.
00:28
And i'll do this in a series of steps so you can see how it works.
00:30
I'll take us from seconds to minutes and then minutes to hours and then hours to days and then finally days to years.
00:38
And i'll show you how the conversion factors work.
00:41
So i'll call the number of years older we're going to be just a variable n sub year.
00:48
And that's going to be equal to the one times 10 to the nine seconds that i started with.
00:54
And then you'll see the series of conversion factors i'm going to apply here.
00:57
First of all, i'll go from seconds to minutes by using a conversion factor, which says that there is one minute or one minute corresponds to 60 seconds.
01:09
And i put the minute, the unit that i'm converting into in the numerator and the seconds in the denominator.
01:14
The reason i did that is because, of course, i want my seconds unit to cancel out from the numerator to the denominator there.
01:22
And that'll leave me with a value that's now been converted into minutes...
