Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.23 2.23 times a second. A tack is stuck in the tire at a distance of 0.379 m 0.379 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed

Explanation:

The given data is as follows.

       Angular velocity () = 2.23 rps

     Distance from the center (R) = 0.379 m

First, we will convert revolutions per second into radian per second as follows.

             = 2.23 revolutions per second

             =

             = 14.01 rad/s

Now, tangential speed will be calculated as follows.

  Tangential speed, v =

                               = 0.379 x 14.01

                               = 5.31 m/s

Thus, we can conclude that the tack's tangential speed is 5.31 m/s.

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