2. A large centrifuge contains four cylindrical containers, each of mass 10.5 kg and with radius 52.5 mm, rotating at a

[answerhappygod]

2 A Large Centrifuge Contains Four Cylindrical Containers Each Of Mass 10 5 Kg And With Radius 52 5 Mm Rotating At A 1 (53.58 KiB) Viewed 41 times

2. A large centrifuge contains four cylindrical containers, each of mass 10.5 kg and with radius 52.5 mm, rotating at a radius of r=385 mm from the central shaft as shown in Figure 2a. (a) Determine the total mass moment of inertia of the centrifuge about the central vertical axis of the mechanism. State any assumptions used during the formulation. (5 Marks) (b) At startup from rest, the torque M applied to the shaft linearly increases from zero until it reaches a value of 80.0Nm at time t=5.0 s as shown in Figure 2 b. Derive the resultant equations for angular velocity and angular displacement of the centrifuge shaft for 0≤t≤5.0 s. (10 Marks) (c) If the torque is held constant at 80.0Nm for time t≥5.0 s, determine the time taken for the centrifuge to complete 500 revolutions. (10 Marks) (Total 25 Marks) Figure 2a. A centrifuge mechanism.