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?
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Assuming s = seconds, converting seconds to days.
.015 * x = 1 second
x = 66.67
66.67 * 60 seconds * 60 minutes * 24 hours = one day
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To calculate how long it would take for the length of a month to increase by one full day, we need to figure out how many seconds are in a day and then divide it by the rate at which the Moon's revolution is increasing.
First, let's convert one day into seconds. There are 24 hours in a day, and each hour has 60 minutes. Therefore, one day consists of 24 x 60 = 1,440 minutes. Since each minute has 60 seconds, one day contains 1,440 x 60 = 86,400 seconds.
Now that we know there are 86,400 seconds in a day, we can calculate how long it would take for the length of a month to increase by one day. The Moon's revolution lengthens by about 0.015 seconds per century. Therefore, the time needed to lengthen by one full day would be:
(86,400 seconds) / (0.015 seconds per century)
To simplify this calculation, we need to convert centuries into seconds. One century has 100 years, and each year contains 365.25 days (including leap years). With the knowledge that each day consists of 24 hours, 60 minutes, and 60 seconds, we can calculate:
(100 years) x (365.25 days per year) x (24 hours per day) x (60 minutes per hour) x (60 seconds per minute)
Now we can substitute the value of a century in seconds into the equation:
(86,400 seconds) / [(0.015 seconds per century) x (100 years x 365.25 days x 24 hours x 60 minutes x 60 seconds)]
After performing this calculation, we'll have the result indicating how long it would take for the length of a month to increase by one full day at the current rate of .015 seconds per century.