Question

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.17 times a second. A tack is stuck in the tire at a distance of 0.351 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed

Answer 1

The tangential speed of the wheel is determined as 4.786 m/s.

Tangential speed of the wheel

The tangential speed of the wheel is calculated as follows;

v = ωr

where;

• ω is angular speed in rad/s
• r is radius of the circular path

v = (2.17 x 2π rad)/s x 0.351 m

v = 4.786 m/s

Thus, the tangential speed of the wheel is determined as 4.786 m/s.

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