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.

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

• Use the relative velocity equation for rotating coordinates,
  
  v_B = v_A + Ω × r_B/A + v_B/A