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if a smaller wheel on car causes the larger wheel to rotate at what degrees does the...
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High School Teacher
Since radius of smaller wheel is 5.4cm it follows that its circumference is
Similarly circumference of larger wheel is
`2cdot6.2 pi=12.4 pi`cm.
If a wheel with circumference length `c` rotates by 1° it has traveled `c/360` because full circle has 360°. So since our smaller wheel has rotated 91° it has traveled `(91cdot10.8pi)/360=2.73pi`cm. The larger wheel must travel the same as the smaller one, hence we have
`2.73pi=(d cdot 12.4pi)/360`
where `d` is how much degrees has the big wheel rotated.
`d approx 79.25806^o=79^o15'29''` <-- Solution
Posted by tiburtius on March 4, 2013 at 11:47 AM (Answer #1)
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