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Rotating Wheel  Torque and Moment of Inertia 
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#1
Nov1209, 02:56 PM

P: 43

1. The problem statement, all variables and given/known data
A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of 50N_m is applied to the wheel for 20s, giving the wheel an angular velocity of 600rev/min. The external torque is the removed and the wheel comes to rest 120s later. Find the moment of inertia of the wheel. 2. Relevant equations τ=Iα α= ω/t 3. The attempt at a solution ω=62.83rad/s α_1=62.83/20=3.14rad per s^2 α_2=(62.83)/120=0.52rad per s^2 50 τ_f=Iα_1 τ_f=I(α_2) 50=I(α_1+ α_2 ) I=50/(3.140.52) I=19.1 The answer should be around 27 but whatever I did I could not get that. Thanks 


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