A centrifuge in a medical laboratory is to be operated at an angular speed of 3,

Question

A centrifuge in a medical laboratory is to be operated at an angular speed of 3,600 rpm (revolutions per minute). When switched on, it rotates 72.0 times before reaching the prescribed angular speed. Find the constant angular acceleration of the centrifuge while it speeds up. 50.0? rad/s2 70.0? rad/s2 80.0? rad/s2 60.0? rad/s2 40.0? rad/s2 A centrifuge in a medical laboratory is to be operated at an angular speed of 3,600 rpm (revolutions per minute). When switched on, it rotates 72.0 times before reaching the prescribed angular speed. Find the constant angular acceleration of the centrifuge while it speeds up. 50.0? rad/s2 A centrifuge in a medical laboratory is to be operated at an angular speed of 3,600 rpm (revolutions per minute). When switched on, it rotates 72.0 times before reaching the prescribed angular speed. Find the constant angular acceleration of the centrifuge while it speeds up. 50.0? rad/s2 A centrifuge in a medical laboratory is to be operated at an angular speed of 3,600 rpm (revolutions per minute). When switched on, it rotates 72.0 times before reaching the prescribed angular speed. Find the constant angular acceleration of the centrifuge while it speeds up. 50.0? rad/s2 A centrifuge in a medical laboratory is to be operated at an angular speed of 3,600 rpm (revolutions per minute). When switched on, it rotates 72.0 times before reaching the prescribed angular speed. Find the constant angular acceleration of the centrifuge while it speeds up. 50.0? rad/s2 70.0? rad/s2 80.0? rad/s2 60.0? rad/s2 40.0? rad/s2 70.0? rad/s2 80.0? rad/s2 60.0? rad/s2 40.0? rad/s2 70.0? rad/s2 80.0? rad/s2 60.0? rad/s2 40.0? rad/s2 40.0? rad/s2 40.0? rad/s2

Explanation / Answer

3600 rpm = 60 rev/sec = 120 pi / sec = w

(2 theta) a = w^2     where a = alpha and w = omega

theta = 72 * 2 * pi rad

a = (120 * pi)^2 / (2 * 72 * 2* pi) = 50 pi /sec

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