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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?

Guest Nov 6, 2017

#1**+2 **

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......

CPhill Nov 6, 2017