12. 100 yards of cotton is wound without stretching onto a reel of diameter 3 cm.
How many times does the reel rotate?
(1 yard = 0.914 m. Ignore the thickness of the cotton.)
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Answer【969.76 rotations】
Explain step by step >>
circumference = pi*diameter
pi = 355/113 (close approximation)
diameter = 3 cm = .03 m
circumference = (355/113)(.03 m) = 0.09425 m
length of string = (100 y)*(.914m/y) = 91.4 m
number of rotations = (length of string)/circumference
= (91.4 m)/(0.09425 m) = 【969.76 rotations】
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