Scientists have calculated that the Moon's revolution around Earth is increasing by about .015 s per century. At this rate, how long would it take the length of a month to increase by one full day?

Well, you want it to increase 24 hrs, or converting that to seconds..

time= 24hrs*60min/hr*60sec/min

number of centuries= timeabove/.015

To find out how long it would take for the length of a month to increase by one full day, we need to determine the number of centuries it would take for the Moon's revolution around Earth to increase by one full day.

We know that the Moon's revolution around Earth is increasing by about 0.015 s per century.

To convert this into days, we first need to convert seconds to days. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 24 * 60 * 60 = 86,400 seconds in a day.

Now, since the Moon's revolution is increasing by 0.015 s per century, we need to calculate how many centuries are required for this increase to reach 86,400 seconds (one full day).

Number of centuries = (86,400 seconds) / (0.015 seconds per century)
Number of centuries = 5,760,000 centuries

Therefore, it would take approximately 5,760,000 centuries for the length of a month to increase by one full day at the given rate.