Final answer:
To find the number of seconds in 8.1 years, you multiply 8.1 by the number of days in a year, then by the number of hours in a day, minutes in an hour, and finally seconds in a minute, only leaving seconds as the unit.
Step-by-step explanation:
To calculate the number of seconds in 8.1 years using dimensional analysis, we start with the given time in years and use conversion factors to change years to days, then days to hours, hours to minutes, and finally, minutes to seconds. According to the provided reference, there are 365.2422 solar days in a year and 86400 seconds in a day due to Earth's rotation period.
First, multiply 8.1 years by 365.2422 days/year to convert years to days. Next, multiply the result by 24 hours/day to convert days to hours, then by 60 minutes/hour to convert hours to minutes, and finally by 60 seconds/minute to convert minutes to seconds:
8.1 years × 365.2422 days/year × 24 hours/day × 60 minutes/hour × 60 seconds/minute
When you multiply these numbers together, you cancel out all the units except for seconds, resulting in the total number of seconds in 8.1 years.