Physic tangential and Angular Acceleration

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SUMMARY

The discussion focuses on the physics of angular acceleration and tangential speed in a Beams ultracentrifuge. The rotor, measuring 20.3 cm in length, spins at an angular speed of 4.9 x 105 rad/s and experiences an angular deceleration of 0.39 rad/s2 when the driving force is removed. Key calculations include determining the initial tangential speed at the rotor's end, which is 105 m/s, and the need to find both the tangential acceleration and maximum radial acceleration components.

PREREQUISITES
  • Understanding of angular velocity and angular acceleration
  • Familiarity with the equations of motion in rotational dynamics
  • Knowledge of tangential and radial acceleration concepts
  • Basic proficiency in physics problem-solving techniques
NEXT STEPS
  • Calculate tangential acceleration using the formula: α = at/r
  • Determine maximum radial acceleration using the formula: ar = ω2 * r
  • Explore the effects of air resistance on angular motion in a vacuum
  • Review the principles of ultracentrifugation and its applications in biochemistry
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Students studying physics, particularly those focusing on rotational dynamics, as well as professionals in fields involving centrifugation techniques and equipment design.

Ravin
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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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