A centrifuge in a medical laboratory rotates at an angular speed of 3600 rev/min. When switched off, it rotates through 50.0 revolutions before coming to a rest. Find the constant angular acceleration of the centrifuge.
Let: w1 be angular velocity, alpha be angular acceleration, theta be the rotation. 0 = w1^2 + 2 alpha theta alpha = – w1^2 / (2 theta) = – (2pi * 3600 / 60)^2 / (2 * 2pi * 50) = – 4pi^2 * 3600 / (200 pi) = – 226 rad / s^2.
Let:
w1 be angular velocity,
alpha be angular acceleration,
theta be the rotation.
0 = w1^2 + 2 alpha theta
alpha = – w1^2 / (2 theta)
= – (2pi * 3600 / 60)^2 / (2 * 2pi * 50)
= – 4pi^2 * 3600 / (200 pi)
= – 226 rad / s^2.