3. A large pottery wheel with a radius of 27cm has a maximum angular speed of 6.8 rad/sec. [ 20 points ] a. To get up to speed from rest, the potter wheel experiences an angular acceleration of 1.45 rad/s2. How long (in time) did it take the wheel to get up to speed? [ 3 points ] b. A smaller rubber wheel (radius of 4.00m) is used to spin the pottery wheel. The edge of the two wheels are touching so that the tangential speeds at the edge of the rubber wheel equals the linear speed at the edge of the pottery wheel (see image). Pottery Wheel / 27cm radius ' Rubber Wheel 4cm radius What is the rotational speed of the small rubber wheel? [ 6 pts ] c. What was the angular acceleration of the rubber wheel? [4 points] (:1. How many rotations did the rubber wheel make while getting up to speed? [5 points] e. Did the large wheel make more or fewer rotations as it came up to speed? Explain your answers conceptually (i.e. give the reasoning, do not calculate the result). [3 points]