Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.032.03 times a second. A tack is stuck in the tire at a distance of 0.357 m0.357 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed.

Question

Physics

Hendrix

1 December, 11:42

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.032.03 times a second. A tack is stuck in the tire at a distance of 0.357 m0.357 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed.

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Dixie Steele · Answer 1

4.55 m/s

Explanation:

The frequency is defined as the number of rotations in one second

So, f = 2.03 Hz

r = 0.357 m

The tangential speed is

v = r ω = r x 2 x 3.14 x f = 0.357 x 2 x 3.14 x 2.03 = 4.55 m/s