An ultracentrifuge accelerates from rest to 140000 rpm in 24

An ultracentrifuge accelerates from rest to 140,000 rpm in 2.45 min. What is its angular acceleration in rad/s2?

Solution

Accordin to the given problem,

= 140000rev/min * 2rad/rev * 1min/60s = 14660.76572 rad/s
t = 2.45 min = 147 s

Using equations of angular motion

= o + at

14660.76572 rad/s = 0rad/s + *147s

= 99.733 rad/s²