Rotational Kinematics of a Computer Disk

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SUMMARY

The discussion focuses on solving a rotational kinematics problem involving a computer disk drive that starts from rest and has a constant angular acceleration. It specifically addresses how to determine the time taken for the first complete revolution and the angular acceleration, given that the drive completes its second revolution in 0.410 seconds. The key rotational kinematics equation to use is θ = ω₀t + 0.5αt², where the initial angular velocity (ω₀) is zero due to the disk starting from rest.

PREREQUISITES
  • Understanding of rotational kinematics equations
  • Familiarity with angular displacement (θ) and angular acceleration (α)
  • Basic knowledge of physics concepts related to motion
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation and application of the rotational kinematics equation θ = ω₀t + 0.5αt²
  • Learn how to calculate angular acceleration from known angular displacements and time intervals
  • Explore examples of constant angular acceleration problems in physics
  • Investigate the relationship between linear and angular motion
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Students and educators in physics, particularly those focusing on rotational motion, as well as anyone seeking to understand the principles of angular acceleration and kinematics in mechanical systems.

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A computer disk drive is turned on starting from rest and has constant angular acceleration.

If it took 0.410 s for the drive to make its second complete revolution, how long did it take to make the first complete revolution? What is its angular acceleration, in rad/s^2


I cannot find out how to determine the time it takes to complete the first revolution or the angular acceleration at all. Every rotational kinematics equation involves angular velocity, which is not given (except for the fact that it starts from rest).

I do not know how to go about this or which of the exact kinematic equations to use. Any help would be appreciated.
 
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I've spent several hours on this plugging in and manipulating the rotational kinematics equations but I still cannot figure out what to do. I'm sure it's something extremely obvious, but I can't seem to figure it out. So... any hint at all would be nice. Thanks.
 
Work on finding the angular acceleration first. We know that the angular acceleration is constant, so we can use the equations for rotational kinematics. You'll probably want to use \theta = \omega_0 t + .5 \alpha t^2.
 

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