What is it all a-boat? An introduction to buoyancy Jose Murillo and Sharon Tamir Tuesday, April 16th
Why? Some background knowledge Prior skillz: Archimedes' Principle: ● Unit conversion max weight of ship = max ● Multiplication weight of water displaced = ● Basic algebra max buoyant force What is buoyancy? Our Goal: the power of a liquid to keep To find the maximum an object afloat weight a ship can carry
What? Formulas, Values and Vocab Formulas: Vocabulary: ● weight = mass x gravity Displacement of water ● volume = length x width x height def. When water is being pushed ● mass = volume x density out of place by the hull of a ship. The ● F Buoyancy = W Ship + W Payload water and hull cannot be in the same place at the same time. Values & Conversions: density of water = 1g/cm 3 or ● 1,000kg/m 3 (Room Temperature) Acceleration of gravity = 9.8 m/s 2 ● ● 1 foot = 0.3 meters
How? Finding the maximum weight To find the maximum Example: weight a boat can carry... Find maximum weight of boat with its volume being 100 cm 3 . The ship has a Step #1: Find Mass of Liquid being force of weight that is .50 N. Displaced ● Volume (of boat) x Density (of Step #1: liquid) = Mass 100 cm 3 x 1g/cm 3 = 100 grams Step #2: Multiply by Gravity ● Maximum Weight = Mass x Step #2: Gravity 100 grams x 9.8 m/s 2 = .98 N Step #3: Subtract the weight of the Step #3: hull ● F Buoyancy - W Hull = W Payload .98 N - .50 N = .48 N
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