Calculating Length of Strand of Gold in "Rumpelstiltskin"

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The discussion focuses on calculating the length of a strand of gold produced by a spinning wheel in the tale of "Rumpelstiltskin." The wheel spins at a speed of 7.5 m/s and completes one revolution every 0.50 seconds. To find the length of the strand of gold for one complete turn, one must multiply the speed of the wheel by the time taken for one revolution, resulting in a length of 3.75 meters. This calculation utilizes basic principles of geometry and dimensional analysis.

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In “Rumpelstiltskin,” the miller’s daughter is spinning straw into gold on a spinning wheel that turns at a speed of 7.5 m/s, making one revolution every 0.50 s. How long is a strand of gold that makes one complete turn around the wheel?

I know I am supposed to be telling what I know, but frankly I have no idea how to do this. I do no know the equation. I also do not understand how the wheel spins at one speed; isn't it supposed to spin at different speeds in different parts??

HELP!
 
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You have to assume that the 7.5m/s refers to the speed of the perimeter of the wheel. Knowing that the perimeter of the wheel goes at 7.5m/s and that it makes one full revolution in 0.5 seconds, does that help? Applying only simple geometry now ^^
 
have you learned dimensional analysis?

multiplying 7.5 m by .5 s gives you the number of meters in one revolution, which is what you're looking for.
 

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