∵The rotor in a centrifuge has an initial angular speed of...

$\because$ The rotor in a centrifuge has an initial angular speed of 430 rad/s.
After 8.2 s of constant angular acceleration, its angular speed has
increased to 550 rad/s. During this time, what were (a) the angular acceleration of the rotor and (b) the angle through which it
turned?

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Key Concepts

Angular Acceleration

Angular acceleration is the rate of change of angular velocity with respect to time. It quantifies how quickly a rotating object speeds up or slows down and is defined mathematically as the change in angular velocity divided by the time interval over which the change occurs.

Rotational Kinematics

Rotational kinematics involves the study of motion in rotating systems, analogous to linear kinematics. It includes equations that relate angular displacement, initial and final angular velocities, acceleration, and time, and is essential for analyzing situations where objects rotate with constant angular acceleration.

Angular Displacement

Angular displacement refers to the angle through which a rotating object turns over a period of time. It can be determined using rotational kinematics equations, which take into account the initial angular velocity, angular acceleration, and the time elapsed during the rotation.

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