How many more revolutions?
Mathematics

Tutor: None Selected  Time limit: 1 Day 
The Northern Tier bicycle tour route from Anacortes, Washington, to Bar Harbor, Maine, is a 4,264.5 miles long. How many more revolutions over the entire route will a 16inch diameter wheel on a bike trailer complete when compared with a 27inch diameter wheel on a bicycle? Please show work and explain your process step by step and the reason why you took those steps.
Also... What's a revolution? I know I've heard of the American Revolution in my History class.. But I'm not sure in math...
Thank you for the opportunity to help you with your question!
First we will calculate the circumference of both wheels.since the distance covered by one complete revolution is equivalent to the circumference of the wheel involved
circumference=πd
1st wheel= 3.142*16=50.2655 inches
2nd wheel=3.142*27= 84.8230 inches
Now we find out how many revolution each wheel makes.
But first we convert the miles to inches
1 mile= 63,360 inches
therefore 4,264.5 miles will be equal to 270,198,720 inches
Next we find how many revolution each wheel goes.
1st wheel= 270,198,720/50.2655=5,375,430.86212= 5,375,431(rounded off to the nearest whole number)
2nd wheel= 270,198,720/84.8230=3,185,441.68445=3,185,442(rounded off to the nearest whole number)
The 16 inch will will make (5,375,4313,185,442)
=2189989 revolutions
Please let me know if you need any clarification. I'm always happy to answer your questions.The 16 inch will will make (5,375,4313,185,442)
=2189989 revolutions more than the 27 inch wheel
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