Physic tangential and Angular Acceleration

AI Thread Summary
In a Beams ultracentrifuge, a rotor measuring 20.3 cm is magnetically suspended in a vacuum and experiences minimal friction. The rotor spins at an angular speed of 4.9 x 10^5 rad/s and decelerates at 0.39 rad/s² when the driving force is removed. To find the initial speed at the rotor's end, the relationship between angular speed and linear speed is used, yielding a result of 105 m/s. The tangential acceleration component can be calculated using the angular deceleration, while the maximum radial acceleration requires applying centripetal acceleration formulas. The discussion focuses on solving these calculations for the rotor's motion dynamics.
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Homework Statement


In a Beams ultracentrifuge, a 20.3 cm long rotor is suspended magnetically in a vacuum. Since there is no mechanical connection to the rotor, the only friction is the air resistance due to the few air molecules in the vacuum. If the rotor is spinning with an angular speed of 4.9 105 rad/s and the driving force is turned off, its spinning slows down at an angular rate of 0.39 rad/s2.

(a) For a point at the end of the rotor, find the initial speed.
105 m/s
(b) For a point at the end of the rotor, find the tangential acceleration component.
m/s2
(c) For a point at the end of the rotor, find the maximum radial acceleration component.
m/s2
I could not figure out a and c please help

Homework Equations





The Attempt at a Solution

 
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How did you calculate (a)?

What equations do you know involving acceleration?
 
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