Consider a Ferris wheel in which the chairs hang down from the main wheel via a cable. The cable is L = 2.0 m long, and the radius of the wheel is 12 m (Fig. P5.30). When a chair is in the orientation shown in the figure (the ???3 o???clock??? position), the cable attached to the chair makes an angle θ = 20° with the vertical. Find the speed of the chair. For simplicity, assume that at this moment the chair is moving in a circle of radius equal to the radius of the wheel.

Figure P5.30

y L