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anonymous
 one year ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a radius of 7 inches.
two circles touching at one point. Larger circle has radius of 7 inches. Smaller circle has radius of 4 inches.
Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?
Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
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anonymous
 one year ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a radius of 7 inches. two circles touching at one point. Larger circle has radius of 7 inches. Smaller circle has radius of 4 inches. Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation? Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear? Show all work.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would I divide 14pi/8pi?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So far I have arc length 25.133 for the smaller circle, and 43.982 for the bigger circle. 43.982  25.133 = 18.849?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0circumference of smaller gear=2 pi r=2*pi*4=8 pi dw:1443496434781:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 205.7 before I asked on here but I wasn't sure Thank You.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I just divide the circumference of the smaller circle from the bigger circle to get the amount of rotations?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for part 2. circumference of larger gear=2*pi*r=2*pi*7=14 pi circumference of smaller gear=2*pi*4=8pi no. of revolutions made by smaller gear\[=\frac{ 14 \pi }{ 8 \pi }=\frac{ 7 }{ 4 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wow this was way simpler than I previously imagined. I don't remember the unit circle very well haha.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes you started correctly.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So 1.75 revolutions correct?
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