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DYNAMICS - CASE STUDY

    Introduction


Problem Graphic
 

Fun Time, Inc., has just designed a new amusement-park ride based on the spinning disk concept. In order to operate the new ride, the velocity at different times is needed.

What is known:

  • The main disk rotates at Ω = 1 rad/s (θ = Ωt).
  • The rider disk rotates at ω = 2 rad/s (β = ωt).
  • Both angular velocities are constant.

   
    Question

 

What is the velocity of the rider, shown in the dynamic diagram at left, at 2.4 seconds?

   
  Approach

 
  • Use the relative velocity equation for rotating coordinates,

    vB = vA + Ω × rB/A + vB/A
     
   
 
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