Rotational kinematics check please.

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SUMMARY

The discussion revolves around solving a physics problem related to rotational kinematics involving an electric turntable with a diameter of 0.750 m, an initial angular velocity of 0.250 rev/s, and a constant angular acceleration of 0.900 rev/s². Key calculations include determining the angular velocity after 0.200 seconds, which is 2.68 rad/s, and the tangential speed at that time, which is 1.0 m/s. Participants also clarified the importance of converting units from revolutions to radians for accurate calculations, particularly for angular acceleration and resultant acceleration.

PREREQUISITES
  • Understanding of rotational kinematics principles
  • Familiarity with angular velocity and acceleration concepts
  • Ability to convert between revolutions and radians
  • Knowledge of tangential and centripetal acceleration calculations
NEXT STEPS
  • Learn how to convert angular velocity from rev/s to rad/s
  • Study the relationship between tangential speed and angular speed using the formula v = rω
  • Explore the derivation of the equations for angular displacement and acceleration
  • Practice solving problems involving centripetal and tangential acceleration
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Students studying physics, particularly those focusing on rotational motion, as well as educators looking for examples of kinematic problem-solving in a classroom setting.

  • #31
θ=ω_0 t+1/2 αt^2 then n=theta/2pi

θ=0.5*pi*0.2+.5*1.8*pi*.04=pi(0.1+0.036)=0.136*pi

θ/2*pi=0.136*pi/2*pi=0.136/2=0.068 rev
 
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  • #32
Hey, i now have what you have, i subbed w at .2s in instead of w_0. thanks for all of your help.
 

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