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3) Outdoor Ice Skating Rink in New England Winter - How long before we can skate? Growing-up in New England the big winter sport was ice skating. We would wait anxiously for the ponds to freeze-over so we could skate. Since we were kids (impatient little buggers!), and to keep us from falling through the ice in the local pond and drowning, each year my Mom would construct a "backyard ice rink to keep us happy. She would buy some white Poly sheeting and some plastic edging material and make us a rink. Once filled with water, the question always was, How long before we can skate Mom?" Of course, this depended on weather conditions. The ice rink dimensions and weather conditions are given below. How long before the entire rink is frozen and we can skate? Sketch and label the problem. State assumptions. Show ALL calculations, including UNITS. Rink Dimensions: (L x W xt) = 40 ft (12m) x 20 ft (6m) x 4 in (10cm) water Water: T (initial) = +10 C. (283K) Air: Tair = -13 C (260K), Wind speed (crosswind across the width of the rink) = 15 mph = 7.5 m/s Material Properties Water: T = 283 K, k = 0.578 W/m-K, p = 998.7 kg/m3, Cp = 4204 J/kg-K, a = 1.38 x 10-7 m/s =