Question

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

Answer 1

Explanation:

The given data is as follows.

       Angular velocity ($\omega$) = 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

             = $2.23 \times 2 \times 3.14 rad/s$

             = 14.01 rad/s

Now, tangential speed will be calculated as follows.

  Tangential speed, v = $R \times \omega$

                               = 0.379 x 14.01

                               = 5.31 m/s

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