Rotational Kinematics with Constant Angular Acceleration: a 3

question 52

Essay

Rotational kinematics with constant angular acceleration: A 3.45-kg centrifuge takes 100 s to spin up from rest to its final angular speed with constant angular acceleration. A point located 8.00 cm from the axis of rotation of the centrifuge moves with a speed of 150 m/s when the centrifuge is at full speed.
(a) What is the angular acceleration (in rad/s²) of the centrifuge as it spins up?
(b) How many revolutions does the centrifuge make as it goes from rest to its final angular speed?

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Definitions:

Marginal Benefits

The additional benefits received from consuming one more unit of a good or service.

Marginal Costs

The rise in overall expenses that occurs when the production amount is increased by a single unit.

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Portable electronic devices designed to play digital audio files in the MP3 format, popular for music playback before the widespread use of smartphones.

Unit Costs

The charges a company faces in the process of making, holding, and vending one individual unit of a particular product or service.