A centrifuge in a medical laboratory rotates at an angular speed of 3,550 rev/min. When switched off, it rotates through 54.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.

Answer 1

t = 54rev * 1min/3500rev = 0.0154 min. = 0.93s.

Vo = 3550 rev/min * 6.28rad/rev * 1min/60s = 372 rad/s.

V = Vo + a*t = 0, a = -Vo/t = -372/0.93 = -400 rad/s^2.