Word Problem-Need Help ASAP!

[alyssahjaaay]

A bicycle tire rotates through an angle of 3.4

radians in 1 second. If the radius of the tire is 0.23 meters, what is the bicycle's speed in meters per second? Round to the nearest tenth. Show/describe/explain how you found your solution

 

[DrPhil]

A bicycle tire rotates through an angle of 3.4

radians in 1 second. If the radius of the tire is 0.23 meters, what is the bicycle's speed in meters per second? Round to the nearest tenth. Show/describe/explain how you found your solution

We need to see your work - where are you getting stuck?

Do you know the definition of "radian"? If the tire is in contact with the road, then the linear distance traveled is equal to the arc length of the rotation.

 

[HallsofIvy]

"If the radius of the tire is 0.23 meters" then what is the circumference of the tire? Every time the tire turns through $\displaystyle 2\pi$ radians, the wheel will have moved forward that distance. If tire rotates through $\displaystyle 3.4\pi$, how many multiples of $\displaystyle 2\pi$ is that? So how far will the wheel move forward in one second?