An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2

ω = 100000rev/min * 2πrad/rev * 1min/60s = 10 500 rad/s

t = 2 min = 120 s

(a) ω = ωo + at

10500 rad/s = 0rad/s + α*120s

α = 87.3 rad/s²

(b) a_t = αr = 87.3rad/s² * 0.095m = 8.29 m/s²

(c) a_r = ω²r = (10500rad/s)² * 0.095m = 1.04e7 m/s²

which is 1.04e7 / 9.8 = 1.06e6 "g"s

(a little over 1 million "g"s)

31

Explanation:

see earlier

option number c is the right answer.