Question

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.83 times a second. A tack is stuck in the tire at a distance of 0.343 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed tangential speed: m/s What is the tack's centripetal acceleration? centripetal acceleration: m/s 2

Answer 1

Solution,

Angular velocity, w = 2.83 x 2 pi = 17.78 rad/sec

Radius, r = 0.343 m

A)

Tangential velocity, v = rw = 0.343 x 17.78 = 6.10 m/s

B)

Centripetal acceleration, a = rw^2 = 0.343 x 17.78^2 = 108.44 m/s^2

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