1. Background Story:
How many seconds does it take for a sloth to walk around the moon 3 times? This problem at first seems like a lot of work to do. That is a main reason why I chose it. I also chose this Fermi question because I think that it is going to be very challenging to solve and my favorite animal is the sloth and the moon has always fascinated me. This problem includes both big and small numbers. I think that this problem was a unique one to choose because it has lots of different aspects to it.
2. Ask Yourself This:
what is the average sloth speed?
What is the circumference of the moon?
How many feet are in a mile?
How many seconds are in one day?
How many hours do sloths sleep
3. Helpful Hints:
http://animal.discovery.com/mammals/sloths-slow.htm --- sloth moves 1 ft per minute
http://www.universetoday.com/66662/circumference-of-the-moon/ -- circumference of the moon =6783 miles http://www.google.com/search?client=safari&rls=en&q=how+many+ft+are+in+a+mile&ie=UTF-8&oe=UTF-8 --- 5280 ft per mile http://www.google.com/search?client=safari&rls=en&q=how+many+meters+is+the+moon&ie=UTF-8&oe=UTF-8#q=how+many+seconds+are+in+a+day&rls=en --- how many seconds are in a day= 86400
Estimated time he has to rest 45 days
365how many days in a year *3years \24hours saying he rests
1095hours divide it 24hours is 45 days he would rest
4. Construct a Formula:
1.Figure out what is the circumference of the moon in feet. 2.Multiply sloth speed by circumference of moon 3.Figure out how many seconds that would be by multiplying it by 60 4.Then multiply by 3 to find out how many seconds it take a sloth to walk around the moon 3 times
5. Messy Math:
6753 miles*5280 ft per mile=35,655,840 is the circumference of the moon in ft
1 ft per minute/35,655,840=35,655,840minutes it take a sloth to walk around the moon *35,655,840circumference of moon*60seconds=2,139,350,400seconds it take a sloth to walk around the moon once 2,139,350,400seconds*3years=6t,418,051,200seconds it takes a sloth to walk around the moon 3 times without resting
86400seconds in a day*45days it would need to rest =3888000seconds a sloth has to rest for 3 years
3888000seconds a sloth needs to rest for 3 years+6418051200seconds if sloth didnt need to rest for 3 years =6,421,939,200seconds it would take a sloth to walk around the moon 3 times
6. Answer:
It take a sloth 6,421,939,200 seconds to walk around the moon 3 times.
which is 203 years
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