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Question

If it takes 31536000seconds for the earth to complete one revolution, how many hours will it take to complete 100revolutions? Express the answer in standard form


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Solution

Step 1: Given

Time to complete one revolution: t=31536000s

The number of revolutions: n=100

Step 2: Formula Used

To convert seconds into minutes, we divide them by 60 and to convert minutes into hours; we divide them by 60. Thus to directly convert the seconds into hours, we divide it be 60×60=3600.

Step 3: Calculating time

Convert the time from seconds to hours

t=31536000seconds=315360003600hours=8760hours

The time taken to complete one revolution is 8760hours. So, to calculate the time taken to complete n revolutions multiply it by n.

Timetakentocomplete100revolutions=8760hours×100=876000hours

Hence, time taken to complete 100 revolutions 876000hours.


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