Question

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 3.11 times a second. A tack is stuck in the tire at a distance of 0.357 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/s2

Answer 1

- Tack Tang. peed WtsE wheel -Tyre

The distance of tack form the rotation axis = 0.357 m

The distance of tack form the rotation axis =   radius of the revolution tack

R = 0.357 m

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Angular speed of the wheel ,$\omega$ = 3.11 rev/s

= 3.11* 2$\pi$ rad/s

= 19.549 rad/s

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tack's tangential speed = angular speed * R ( radius if the revolution)

= 19.549 rad/s * 0.357 m

= 6.98 m/s

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Tack's centripetal acceleration = $\omega ^{^{2}}$ * R

= (19.549 rad/s)² * 0.357 m

= 136.42 m/s²