A wheel with radius $1\text{ m}$ 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

Respuesta :

The distance traveled by the center is equal to the distance traveled by the wheel 6.28m is traveled by the center.

Given: A wheel with a radius rolled in a straight line through one complete revolution on a flat horizontal surface.

To Find: How many meters did the center of the wheel travel horizontally from its starting location.

Solution:

consider the figure attached.

radius of wheel [tex]=1m[/tex]

Horizontal distance traveled by the wheel in one complete revolution

=circumference of the wheel

[tex]\\=2\pi r\\=2*3.14*1\\=6.28m[/tex]

Hence, the distance traveled by center is equal to the distance traveled by the wheel 6.28m is traveled by the center

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