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2. A person on a unicycle with a wheel of radius 0.25m is rolling down the...

2. A person on a unicycle with a wheel of radius 0.25m is rolling down the street.

(a) In a certain span of time, the wheel rotates through 40 revolutions. What distance has the unicycle traveled down the street?

(b) At a later time, if the unicycle’s wheel is rotating at 20 rev/min and experiences an angular acceleration of 3rad/s2 , what is the angular speed of the unicycle’s wheel after 5s?

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