The Boat Challenge. Materials 1) One 8.5 x 11 inch sheet of laminated paper 2) Scotch tape 3) Scissors 4) Ruler.

Slides:

Advertisements

Similar presentations

Density – Sinking or Floating Density Density is the amount of matter in a given amount of space. Density is the amount of matter in a given amount of.

Advertisements

Let’s Talk About Buoyancy!

Properties of Fluids. Buoyancy Fluid = a liquid OR gas Buoyancy = The ability of a fluid (a liquid or a gas) to exert an upward force on an object immersed.

Maths and Science Lesson 2 LO1: Understand and calculate density.

Calculating Buoyancy (# Pennies) Penny Barge Design

Final Exam – Cardboard Regatta Boat Race

By the end of the lesson, you will be able to…

By the end of the lesson, you will be able to…

Buoyancy U1YVZMifMM.

BUOYANT FORCE LESSON 2. Buoyant Forces and Liquid Buoyant Force is an upward force which acts on an object that is being completely or partially immersed.

Penny Boat Lab Analysis

Density Density describes how heavy an object is compared to its size.

+ Density Austin High School Chemistry Ms. Gutierrez

Buoyancy and Density 14-2 Buoyant Force Buoyant force = upward force that keeps an object immersed in or floating on a liquid It ’ s the force that pushes.

 Select your grade level  Click The Leaf Chronicle  Enter Username: NIE  Enter Password: nie2013.

Contributed by: Engineering K-Ph.D. Program, Pratt School of Engineering, Duke University.

Wednesday, April 3 Warm-up: Agenda:

PHYSICS 103: Lecture 18 Archimedes Principle Example Problems Agenda for Today:

Density & Buoyancy. Density Density = Mass/Volume What is the SI Unit for Mass? Volume? SI Unit for Density = kg/m 3 Also…g/cm 3 g/ml and kg/L The Density.

Floating and Sinking.  Density is a measure of how closely packed the atoms in a substance are  Density is a physical property  All matter has measurable.

All three objects weigh the same. The weight arrow is the same for all three. The candycane legend shows the amount of water each object displaces. The.

Materials One per person: Rulers Scissors COACH book.

Archimedes’ Principle

Wednesday, August 19th Who Sank the Boat?.  Please take out your lab book  Pencil  Calculator  Warm Up:  Discuss with your table the steps needed.

DENSITY. What is Density? What are the units of density?

Lesson 2: Density.

What Floats Your Boat?. I. Why things float A.Buoyancy: the ability to float 1. Depends on displacement a. how much water an object pushes out of the.

Mass per Unit Volume Equation: Density =Mass X Volume.

Center of Gravity, Displacement, and Nautical Terms

Moles and Particles How many moles are in 4.65 x water molecules? Starting quantity? Particles Ending quantity? Moles Conversion factor: 1 mole.

1 Bell Ringer What word should we think of when we think of pressure? 2. What is the formula for pressure? 3. What SI unit measures pressure?

REFLECTION. Was your final design more effective than your original prototype? Our final design was more effective then our original prototype. We know.

BUOYANT FORCE What makes objects float?

Contributed by: Engineering K-Ph.D. Program, Pratt School of Engineering, Duke University.

STEM Lab #2: Penny Boat Challenge. A food manufacturer needs a ship to deliver their products overseas. To save money on fuel, the manufacturer is looking.

Matter Review. What is the definition of density?

Building Boxes What is the largest volume open top box that you can build from an 8 ½ by 11 inch sheet of paper?

Density Sink or float?. What is Density? Defined as the amount of matter (mass) within a certain amount of space (volume) Represented by the following.

Do Now: What are some important science skills (not topics) that you learned how to do this year in class? The practical – This Thursday in class!! Your.

By: Kyle Watts, Spencer Stacey, and Kyle Bolt..  To create a boat that can hold the most pennies without sinking, of course.

Volume, Mass, and Weight…OH MY !. MATTER: Anything that has mass and takes up space.

DENSITY And BUOYANCY.

Floating and Sinking.

Earth Science 6-8 chapter 161

Which Paper Column Can Hold Up The Most Books? Challenge 1 and 2

DENSITY Density is defined as mass per unit volume. It is a measure of how tightly packed and how heavy the molecules are in an object. Density is the.

What is Buoyancy?.

Float, Float, Float the Boat

How could we explain the relationship between density and buoyancy?

Unit 2 Floating and Sinking.

Density Review.

Give a brief outlook about Archimedes and his work

Determining if an object will float or sink

Measuring Notes ｷThe units used for mass are grams (g).

Floating and Sinking.

Unit 2-4 DENSITY!.

Unit 2-4 DENSITY!.

Safety and Density.

Unit 2-4 DENSITY!.

Monday 9/25/17 Copy this week’s schedule into your assignment notebook. Notebook Entry: Look back at your Science of Boat Design notes. Find the section.

Solving Systems of Equation by Substitution

Activator – Get out blue sheets

Jeopardy Final Jeopardy Vocab Measurement Explain Experiment Random

Presentation transcript:

The Boat Challenge

Materials 1) One 8.5 x 11 inch sheet of laminated paper 2) Scotch tape 3) Scissors 4) Ruler

Design/Build Boats  Build a rectangular boat that will hold the most weight without sinking.

Requirements  Boat must have a name.  Boat must have a flag.  Boat must be completed in 20 minutes.

Test Boats  Place boats in the tub of water.  Apply weights until the boat sinks.  Count the total mass the boat was able to carry (not including the mass that caused the boat to sink) Note: Most boats carry several hundred grams. Be sure to use heavy mass first.

Volume … is the quantity of interest  Buoyancy: A boat floats when its weight is displaced in water.  Therefore – the best boat will displace the most water.

Design the boat with Maximum Volume  Write a function for volume.  Maximize the function.

Functions for Volume  f(h) = (11 – 2h)(8.5 – 2h)(h)  f(h) = 4h 3 – 39h h

Maximize using Calculus  1 st Derivative: f’(h) = 12h 2 – 78h  Set f’(h) = 0 and solve for h 12h 2 – 78h = 0 12h 2 – 78h = 0  h = 78 ± (78 2 – (4)(12)(93.5)) 0.5 (2)(12) (2)(12) h ≈ inches & inches

Which is my solution? h ≈ or inches  2 nd Derivative: f’’(h) = 24h – 78  f’’(4.915) = and f’’(1.585) =  f(1.585) ≈ inches cubed

Optimization  One of the most powerful tools math- ematics offers industry is optimization. The ability to predict and design the best “specimen” given various goals and constraints is lucrative.

New Challenge  Given an 8.5 x 11 inch sheet of paper, build the best “canoe.”  “Canoe” = triangular ends and one crease down the middle.

New Challenge waste

 “Canoe” = triangular ends folded up at 90 ˚ and one crease down the middle. waste