At its lowest setting a centrifuge rotates with an angular speed of 1 = 250 rad/s.

At its lowest setting a centrifuge rotates with an angular speed of ω ₁   = 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 ω ₂   = 750 rad/s. 

A) Calculate the angular acceleration of the centrifuge α ₁  in rad/s ²  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.