People riding the spinning-disk ride at Fun Time, Inc. are complaining about high accelerations. An investigation found that the maximum acceleration was occurring at 2.4 seconds.
What is known:
The main disk rotates at Ω = 1 rad/s (θ
The rider disk rotates at ω = 2 rad/s (β
Both angular velocities are constant.
Both disks have no angular acceleration (dω/dt = 0, dΩ/dt = 0).
What is the acceleration of the rider at 2.4 seconds and is it unsafe?
Use the relative acceleration equation for rotating coordinates,
aB = aA + dΩ/dt × rB/A + Ω × (Ω × rB/A) + 2 Ω × vB/A + aB/A
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