Relating Angular and Translational Quantities (Problem 48)

An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in ${\text{rad/s}}^2$? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in ${\text{m/s}}^2$ and multiples of g of this point at full rpm? (d) What is the total distance traveled during the acceleration by a point 9.5 cm from the axis of rotation of the ultracentrifuge? Select the answer to part (a).