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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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  1. anonymous
    • one year ago
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    Would I divide 14pi/8pi?

  2. anonymous
    • one year ago
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    So far I have arc length 25.133 for the smaller circle, and 43.982 for the bigger circle. 43.982 - 25.133 = 18.849?

  3. anonymous
    • one year ago
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    circumference of smaller gear=2 pi r=2*pi*4=8 pi |dw:1443496434781:dw|

  4. anonymous
    • one year ago
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    I got 205.7 before I asked on here but I wasn't sure Thank You.

  5. anonymous
    • one year ago
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    correct

  6. anonymous
    • one year ago
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    Do I just divide the circumference of the smaller circle from the bigger circle to get the amount of rotations?

  7. anonymous
    • one year ago
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    for 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\[=\frac{ 14 \pi }{ 8 \pi }=\frac{ 7 }{ 4 }\]

  8. anonymous
    • one year ago
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    Wow this was way simpler than I previously imagined. I don't remember the unit circle very well haha.

  9. anonymous
    • one year ago
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    yes you started correctly.

  10. anonymous
    • one year ago
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    So 1.75 revolutions correct?

  11. anonymous
    • one year ago
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    correct

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