Compact disk angular acceleration

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SUMMARY

The discussion focuses on calculating the angular acceleration and time taken for a compact disc to reach a speed of 5200 revolutions per minute (rpm) from rest over a displacement of 620 radians. The user successfully determined that the disc made 99 revolutions during this time. To find the angular acceleration, participants suggested using kinematic equations for constant angular acceleration, utilizing the initial and final angular velocities along with the angular displacement.

PREREQUISITES
  • Understanding of angular kinematics
  • Familiarity with the relationship between angular velocity and revolutions per minute (rpm)
  • Knowledge of constant acceleration equations
  • Basic trigonometry for angular displacement calculations
NEXT STEPS
  • Learn how to apply kinematic equations for angular motion
  • Study the conversion between rpm and radians per second
  • Explore the concept of angular acceleration and its calculation
  • Investigate practical applications of angular motion in real-world scenarios
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Students studying physics, particularly those focusing on rotational dynamics, as well as educators and anyone interested in understanding angular motion and its calculations.

jkhays
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Homework Statement



A compact disc speeds from rest to 5200 rpms in 620 rad. Diameter is 5.0cm
-how many revolutions did it make in this time
-what is the angular acceleration in rad/s^2
-how long does ti take to reach this speed

Homework Equations


The Attempt at a Solution


i was able to find the first part by
620(180/π) = 35523 dividing that by 360 and getting 99 revolutions

for the last 2, i am completely lost to where i even begin solving them.thank you..
 
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welcome to pf!

hi jkhays! welcome to pf! :smile:

you can use the usual constant acceleration equations, with angular acceleration velocity and displacement instead of ordinary (linear) acceleration velocity and displacement :wink:
 
You know ω initial and ω final, and Δθ. You can solve for angular acceleration using one of the kinematics equations for constant acceleration. Once you have alpha you can solve for t.
 

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