Answer:
6.28 m
Step-by-step explanation:
Given: A wheel with radius [tex]1\text{m}[/tex] 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]=1\text{m}[/tex]
horizontal distance traveled by wheel in one complete revolution
[tex]=\text{circumference of wheel}[/tex]
[tex]=2\pi\text{r}[/tex]
[tex]=2\times3.14\times1[/tex]
[tex]=6.28\text{m}[/tex]
As, the distance traveled by center is equal to the distance traveled by wheel
[tex]6.28\text{m}[/tex] is traveled by the center
