Suppose a wheel with a tire mounted on it is rotating at the constant rate of 3.273.27 times a second. A tack is stuck in the tire at a distance of 0.365 m0.365 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed. tangential speed: m/sm/s What is the tack's centripetal acceleration?

The tangential speed is

The centripetal acceleration is

Explanation

Generally the angular velocity is mathematically represented as

substituting 3.27 rev/s for e we have that

=>

The tangential speed is mathematically represented as

substituting 0.365 m for r we have that

=>

Generally the centripetal acceleration is mathematically represented as

=>      

=>      

if they have a finite resultant