A wheel with a tire mounted on it rotates at a constant rate of 2.89 times a second. A tack is stuck in the tire at a distance 39.1cm from the rotation axis. noting that for every rotation the tack travels one circumference. find the tacks tangential speed.
m/s
what is the tacks radial acceleration?
m/s^2

(A) Tangential speed will be equal to 7.09 m/sec

(B) Radial acceleration will be equal to  

Explanation:

We have given angular speed of the wheel

Radius of the track r = 39.1 cm = 0.391 m

(A) Tangential speed will be equal to , here is angular speed and r is radius

So tangential speed

So tangential speed will be equal to 7.09 m/sec

(B) Radial acceleration will be equal to

So radial acceleration will be equal to

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