At its lowest setting a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is switched to the next higher setting it takes t = 9.5 s to uniformly accelerate to its final angular speed ω2 = 550 rad/s. (a) Calculate the angular acceleration of the centrifuge α1 in rad/s2 over the time interval t. (b) Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as it accelerates from the initial to the final speed.

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At its lowest setting a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is switched to the next higher setting it takes t = 9.5 s to uniformly accelerate to its final angular speed ω2 = 550 rad/s. 

(a)  Calculate the angular acceleration of the centrifuge α1 in rad/s2 over the time interval t.

(b)  Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as it accelerates from the initial to the final speed. 

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