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 = 7.5 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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Answered: At its lowest setting, a centrifuge…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 41P: A wheel 1.0 m in diameter rotates with an angular acceleration of 4.0rad/s2 . (a) If the wheel’s...

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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 = 7.5 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.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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