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Given ω as function of time. A disk of radius R = 3.0 m rotates...

Given ω as function of time.

A disk of radius R = 3.0 m rotates at an angular velocity ω =

(1.6 + 1.2t) rad/s, where t is in seconds. At the instant t = 2.0 s, determine

• the angular acceleration, and

• the speed v and the components of the acceleration a of a point on the edge of the disk.

A centrifuge rotor is accelerated from rest to 20,000 rpm in 30s.

a) What is its average angular

acceleration? b) Through how many revolutions has the

centrifuge rotor turned during its acceleration period, assuming constant angular acceleration?

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