Question

Because Earth's rotation is gradually slowing, the length of each day increases: The day at the end of 1.0 century is 1.0 ms longer than the day at the start of the century. In 24 centuries, what is the total of the daily increases in time (that is, the sum of the gain on the first day, the gain on the second day, etc.)

Answer 1

14.6 minutes

Explanation:

Since there is a 1 ms increase per day and there are 365 days a year, the time increase per year is 1 ms/day × 365 days/year = 365 ms/year.

So, in 24 centuries, there are 24 × 1 century = 24 × 100 years = 2400 years (since 1 century = 100 years)

So, the total of the daily increase in time in 24 centuries is time increase per year × 24 centuries

= 365 ms/year × 2400 years

= 876000 ms

= 876 s

= 876 s/60s

= 14.6 minutes