A centrifuge in a medical laboratory rotates at an angular speed of 3500 rev/ min. When switched off, it rotates through 41.0 revolutions before coming to rest. (a) Find the angular speed in rad/s. (b) Find the displacement in radians. (c) Find the constant angular acceleration of the centrifuge.

Answer 1

n₀=3500 rev/min =3500/60 rev/s =58.33 rev/s
N= 41 rev,
(a) ω=2π•n₀=2π•58.33=366.5 rad/s
(b) φ =2π•N =2π•41 =257.6 rad
(c) φ= ω²/2•ε,
ε= ω²/2•φ=58.33²/2•257.6=6.6 rad/s²