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Work Shown:
1 full rotation = 1 year
1 year = 365.25 days (approximate)
1 day = 24 hours
1 hour = 60 minutes
Converting from 1 year to minutes gives
[tex]1 \text{ year} = \left(1 \text{ year}\right)*\left(\frac{365.25 \text{ days}}{1 \text{ year}}\right)*\left(\frac{24 \text{ hrs}}{1 \text{ day}}\right)*\left(\frac{60 \text{ min}}{1 \text{ hr}}\right)\\\\1 \text{ year} = \left(1*365.25*24*60\right)\text{ min}\\\\1 \text{ year} = 525,960 \text{ min}\\\\[/tex]
So basically we just multiply out 365.25, 24, and 60 to get the answer.