HW06-#2 H₂O SKIER A water skier angles her skis to create a 0 = 30° angle between her r=10m (fixed length) tow rope and the boat (VB = 60 km/hr). At this instant, the heading of the skier makes an angle of ß = 50° with the tow rope. Assume the water in the lake is stationary. Find: A. The velocity equation relating the skier to the boat, including both absolute and relative terms. The velocity of the skier S relative to the water (in km/hr) B. B C. The angular velocity of the rope relative to the boat (d0/dt or w) in rad/s. For fixed radius (circular) motion like this v = r de/dt. km km Ans: Vs = 80.8- hrVS/B = 31.93m, w = 0.89² hr rad S UB 0 B 10 m

Fig: 1