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A wheel with radius 1 m is rolled in a straight line through one complete revolution on a flat horizontal surface. How many meters did the center of the wheel travel horizontally from its starting location?

 Nov 6, 2017
 #1
avatar+98005 
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We can think of it like this :

 

We have a bike with tires that have a radius of one meter......when the bike moves such that its wheels travel through one revolution.....the linear distance traveled  is just the circumference of the tire =   2 * pi * (1 meter)  ≈  6.28 meters

 

But......all the parts of the bike will travel the same distance....so....the center of the wheel also travels ≈ 6.28 meters......

 

 

cool cool cool

 Nov 6, 2017
edited by CPhill  Nov 6, 2017
 #2
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Is there a for sure answer? Instead of approxmate.

Guest Nov 6, 2017
 #3
avatar+98005 
+1

 

Well....2 pi  meters is the " for sure answer"....since pi is irrational, we won't have a definite "decimal" answer...thus, the approximation.....

 

 

 

cool cool cool

 Nov 6, 2017
 #4
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+1

Ok thx i figured it out. Thx.

Guest Nov 6, 2017
edited by Guest  Nov 6, 2017
edited by Guest  Nov 6, 2017

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