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Mathematics 18 Online
OpenStudy (anonymous):

how many turns does a wheel need with radius of 14.0 inches to cross a 1.00 mile track?

OpenStudy (mrnood):

first work out the circumference of the wheel ( the formula has pi and r in it) The work out how many inches in a mile: 1ft = 12 ins 1 yd = 3 ft 1760 yds = 1 mile The divide that number by the circumference - that's how many times it must turn to roll 1 mile

OpenStudy (michele_laino):

please note that if I call N your number of turns, then we have: \[2*\pi*r*N=\Delta s\] where Delta s=1 mile, and r is the radius of your wheel. Please solve the above equation in order to find N

OpenStudy (anonymous):

my answer is 1.39x10^-3 is this correct?

OpenStudy (michele_laino):

@bunagans Sorry, please retry!

OpenStudy (michele_laino):

@bunagans keep in mind that 1 mile=63,360 inches

OpenStudy (calculusfunctions):

You need to show your work first. First find the distance covered in one revolution (find the circumference of the circle). Also convert miles to inches.

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