By using the formula, angular velocity is 942.5 rad/s
Given that a centrifuge consists of a container held at a distance of 0.20 m from its axis. When turned on, the centrifuge spins the container and its contents round at 9000 revolutions per minute.
The radius r = 0.2 m
Convert revolution to radian
1 revolution = 360 degree
360 degrees = 2[tex]\pi[/tex] rad
9000 rev = 9000 x 2[tex]\pi[/tex] = 56548.67 rad
The given time is
1 minute = 60 seconds
Angular velocity w = angular distance / time
w = ∅/t
Substitute all the necessary parameters into the formula
w = 56548.67/60
w = 942.5 rad/s
Therefore, its angular velocity is 942.5 rad/s approximately.
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