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Question: If it takes \(31536000\) seconds for the earth to complete one revolution, how many hours will it ta...

If it takes 3153600031536000 seconds for the earth to complete one revolution, how many hours will it take to complete 100100 revolutions? Express the answer in standard form.

Explanation

Solution

Given the time in seconds. We need to calculate the number of hours. As we know, there are 36003600 seconds in one hour. So, we need to calculate the number of hours by dividing the given seconds with 36003600. We will get the number of hours for one revolution. We will get the number of hours for 100100 revolutions by multiplying with 100100.

Complete answer:
Given: Time =31536000= 31536000 seconds
It is given in seconds. We need to find the number of hours.
We will divide the given seconds with 36003600.
We will get time in hours.
Time (in hours) =315360003600 = \dfrac{31536000}{3600}
=8760=8760 hours.
Number of hours required for completing one revolution is 87608760 hours.
We will need to calculate hours for completing 100100 revolutions.
Required hours is equal to 100100 times the number of hours required for complete one revolution.
Number of hours =8760×100=8760 \times 100
=876000=876000 hours.

Note: However, in many areas like astronomy and its associated subjects, revolution is introduced as an orbital revolution. It is utilized when one body passes around another, while rotation is utilized to mean the motion about the axis. For example, the Moon rotates around the Earth and the Earth orbits around the Sun.