What is it all a-boat? An introduction to buoyancy Jose Murillo and - - PowerPoint PPT Presentation

What is it all a-boat?

An introduction to buoyancy

Jose Murillo and Sharon Tamir Tuesday, April 16th

Why? Some background knowledge

Prior skillz:

• Unit conversion
• Multiplication
• Basic algebra

Our Goal:

To find the maximum weight a ship can carry

Archimedes' Principle:

max weight of ship = max weight of water displaced = max buoyant force

What is buoyancy?

the power of a liquid to keep an object afloat

What? Formulas, Values and Vocab

Formulas:

• weight = mass x gravity
• volume = length x width x height
• mass = volume x density
• FBuoyancy = WShip + WPayload

Values & Conversions:

• density of water = 1g/cm3 or

1,000kg/m3 (Room Temperature)

• Acceleration of gravity = 9.8 m/s2
• 1 foot = 0.3 meters

Vocabulary:

Displacement of water

• def. When water is being pushed
• ut of place by the hull of a ship. The

water and hull cannot be in the same place at the same time.

How? Finding the maximum weight

To find the maximum weight a boat can carry...

Step #1: Find Mass of Liquid being Displaced

• Volume (of boat) x Density (of

liquid) = Mass Step #2: Multiply by Gravity

• Maximum Weight = Mass x

Gravity Step #3: Subtract the weight of the hull

• FBuoyancy - WHull = WPayload

Example:

Find maximum weight of boat with its volume being 100 cm3. The ship has a force of weight that is .50 N. Step #1: 100 cm3 x 1g/cm3 = 100 grams Step #2: 100 grams x 9.8 m/s2 = .98 N Step #3: .98 N - .50 N = .48 N