Question 1023698: Here's the question: 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. 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?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Here's the question: 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.
Perimeter of the smaller gear:: 2*pi*4 = 8pi inches
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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?
Perimeter of the larger gear:: 2*pi*7 = 14pi inches
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Ans: (8pi/14pi)360 degrees = (4/7)360 deg = 205.71 degrees
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Cheers,
Stan H.
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