The device shown is a simplified model of an amusement-park ride in which passengers are rotated about the vertical axis of the central post at an angular speed Ω while sitting in a pod which is capable of rotating the occupants 360° about the longitudinal axis of the connecting arm attached to the central collar. Determine the percent increase n in angular velocity between configurations (a) and (b), where the passenger pod has rotated 90° about the connecting arm. For the model, m = 1.2 kg, r = 75 mm, l = 300 mm, and L = 650 mm. The post and connecting arms rotate freely about the z-axis at an initial angular speed Ω = 120 rev/min and have a combined mass moment of inertia about the z-axis of 30(10⁻³) kg ∙m².

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(b) L- Ω (a) Frame -Pod