Question

having some trouble trying to solve this one. plz help!

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.79 times a second. A tack is stuck in the tire at a distance of 0.339 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed tangential speed:98.9 m/s What is the tack's centripetal acceleration centripetal acceleration m/s2

Answer 1

The tangential speed is given by, "tangential = ro = (0.339 m)(2.79 rev/s) 2n rad/s) rev/s = 5.94 m/s Hence, the tangential speed is 5.94 m/s. The centripetal acceleration is given by, 12 dcentripetal = (5.94 m/s) (0.339 m) =104.17 m/s2 Hence, the centripetal acceleration is 104.17 m/s