Olympic Snowboarding Data Set 1 Data Sets: Table 1. Athlete Characteristics Athlete Gender Male Female Height (inches) 68 62 Weight (lbs.) 150 115 S. White C. Bidez Event Preference(s) Half-pipe* Half-pipe Graphics Longer Board, Minimal Friction Softer Flex, Graphics, Minimal Friction Eco-Friendly** Light Board; Longer Board M. Dierdorff Male 68 200 Snowboard Cross* K. Clark L. Jacobellis Female Female 64 65 130 120 Half-pipe Snowboard Cross *Please see ‘Events’ for descriptions. **Biodegradable board Table 2. Board Characteristics Board Type Length (cm) Specialization Composition** Alpine 175 and above 150 to 170 Speed/Racing FG, LW, Poly General FG, LW, Poly 150 and below Tricks FG, LW, Poly All Mountain Freestyle *opt. = optional for an added cost/**FG = Fiberglass; LW = Liquid Wood; Poly = Polyethylene Table 3. Board Composition Composition Coefficient of Friction Fiberglass Liquid Wood Polyethylene .02 .06 .04 *N/A = Not Available, O = Optional Density (g/cm^3) 0.098 0.092 0.088 Base Wax Seal* (reduce friction) N/A O O Events: Half-pipe: A half-pipe is a U-shaped terrain feature with near-vertical walls. The snowboarder gains speed by going down one side, then rides up the other side into the air to perform tricks. Athletes that ride in the half-pipe are known as “free style” riders. Their boards are light and require a large degree of maneuverability. These boards are generally ten (10) inches shorter than the rider, but can vary. Snowboard Cross: A competition in which riders start simultaneously atop an inclined course and race to reach the finish line first. Snowboard cross courses are typically narrow and include sharp turns, jumps, drops, steep and flat sections designed to challenge the rider’s ability to stay in control at high speeds. Athletes that compete in snowboard cross are known as “alpine” riders. Their boards are long with a stiff flex. These boards are generally three to five inches taller than the rider, but can vary. Description of Board Elements: Composition: The composition of a board is the material from which the board is made. There are three options: (1) FG = Fiber Glass, (2) LW = Liquid Wood and (3) Poly = Polyethylene. Each material has specific properties that affect ride quality. Fiber Glass: This is the least common material because a board made entirely of fiberglass is very heavy, which makes it less maneuverable. The fiber glass board has the smallest coefficient of friction between the base and the snow, which means this board will slide with the least resistance. Liquid Wood: Snowboard companies recently started using liquid wood as an alternative to fiber glass or polyethylene because it is completely biodegradable, unlike the other two options. This material is lighter than fiber glass, but has a greater coefficient of friction, which means greater resistance. Boards made of this material cost the most. Polyethylene: This is the material used for the majority of snowboards. It is a very light material that can be easily manipulated into any shape, which makes it the least expensive to produce. However, the coefficient of friction between the base of the board and the snow is greater than that of fiber glass. Free-style boards are commonly made of polyethylene because it is the lightest. Wax Seal: An optional, long-lasting wax seal can be added to the base of the board in addition to the manufacturer’s seal. This seal decreases the coefficient of friction by 0.005. The seal can only be added to boards made of liquid wood or polyethylene, and costs $250. Reducing the coefficient of friction allows the board to move more quickly. Breakdown of Costs: Boards: Each type of board has a different base cost which varies with length. Boards greater than 170 cm or less than 150 cm will be more expensive than boards of standard length. Allmountain boards are the least expensive to manufacture, because they are not specialized. These boards generally have less maneuverability than Free Style boards and a lower top speed than Alpine boards. Board Type Alpine All Mountain Free Style Cost < 180 cm: $650 >180 cm: $675 <160 cm: $500 >160 cm: $525 <140 cm: $550 >140 cm: $575 Material: Each material also has a different cost which varies with manufacturing costs and demand. Material Fiberglass Liquid Wood Polyethylene Cost $200 $300 $150 Graphics: Snowboarders are known for being expressive individuals in both what they wear and the design of their boards. Each board is manufactured plain white, but colors and graphics can be added. Graphic Solid Color (1) Solid Colors (2) Design Cost $100 $150 $200 Thickness: The greater the weight of the rider, the more force they exert on the board, and thus the thicker the board must be. A board less than or equal to 20 mm thick costs an additional $50, and a board greater than 20 mm thick costs an additional $100. Table 4. Thickness Scale Force Exerted by Rider (N) Recommended Board Thickness (mm) 500-550 15 551-600 18 601-650 20 651-700 22 >700 25 Formulas: 𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 𝑀𝑎𝑠𝑠/𝑉𝑜𝑙𝑢𝑚𝑒 Estimate the volume of a snowboard to be the volume of a cube with length, width, and height. Area of a circle (please use 3.14 for the value of pi): 𝐴 = 𝜋𝑟 2 1 cm = 0.3937 inches 1 kg = 2.2 lbs. Weight = mg (please use 9.81 m/s2 for g) Note: (1) The Newton (N) is a unit of force. It is equal to the amount of net force required to accelerate a mass of one kilogram at a rate of one meter per second squared. Forces are assumed to generate from the center of the board. (2) All snowboards are 13.5 inches wide. Sources: Teamusa.org: The information about each athlete was found here, as well as descriptions of each event. Snowboarding.com: The information about board design and specifications was found here, as well as definitions for the parts of a board. Physicsclassroom.com: The physics concepts, such as the formula and units for weight, were found here. The pictures included were created by Adam Santone.