Hot Air Balloons.

Slides:

Advertisements

Similar presentations

2.6 Related Rates.

Advertisements

3 Types of Heat Transfer.

Module 1 Introduction to Flight

What is the formula for speed?. If Ms. Shelby runs 72 meters in 9 minutes, what is her speed in meters per minute?

LIMITS DERIVATIVES GRAPHS INTEGRALS VOLUME CALCULUS SPIRAL.

Goldstein/Schneider/Lay/Asmar, CALCULUS AND ITS APPLICATIONS, 11e – Slide 1 of 115 § 1.8 The Derivative as a Rate of Change.

1 Derivatives: A First Look Average rate of change Instantaneous rate of change Derivative limit of difference quotients Differentiable implies continuity.

3.1.Tangent Lines and Rates of Change. Average and instantenious velocity. Rita Korsunsky.

Chapter 3: Forces & Fluids Review. How can you change the pressure on the ground when you are standing?  Stand on one foot (decrease area)  Change into.

Directed Numbers.

Click to see each answer.. ANSWER: A 1. ANSWER: F 2.

 The ability to do work  Stored Energy  Moving Energy.

Heating Water and Land. Think About It: 70% of the Earth is water, therefore only 30% is land Most of that land is cloud covered So most of the incoming.

Atmospheric Stability

1 CALCULUS Even more graphing problems

Project: Hot Air Ballon Physics Period 4 Lydia Pascale.

Lighter-than-air Aviation

Units of measurement By : Rinna Tarter.

Measurement Review. Basic Measures METRIC Meter Liter Gram US CUSTOMARY Inch, Foot, Yard, Mile Fluid Ounce, Cup, Pint, Quart, Gallon Ounce, Pound, Ton.

International system of unit. International system of units.

Flight. Floaters A floater does not really fly but, rather the wind controls the speed and direction of flight. Gliders Gliders have wings that interact.

Hot-Air Balloons hot-air balloon – a large balloon that rises with the aid of hot air.

AP Calculus AB Chapter 2, Section 6 Related Rates

Application of Derivative - 1 Meeting 7. Tangent Line We say that a line is tangent to a curve when the line touches or intersects the curve at exactly.

The pressure exerted on the piston extends uniformly throughout the fluid, causing it to push outward with equal force per unit area on the walls and bottom.

The AntiNewton By: Justin Charlie and Denise. How It Works Basically, you need less mass per volume inside the balloon than outside so that the air inside.

F ORCES OF F LIGHT Sectional Review. 4 F ORCES OF FLIGHT Lift Thrust Weight Weight (Gravity x Mass) Drag.

Warm-up/Activator: Rates of Change What are 3 different rates of change that you are familiar with? What are the Units they are written with? When discussing.

MEASUREMENT. Measurement I can measure length, capacity, and weight in customary units.

Made by Vika Kudoyarova. A b o u t b a l l o o n i n g Balloon is bag filled heated air or a light gas so that it rises and floats in the air. A balloon.

 Problem solving involves developing a plan, and mapping out a pathway through a problem before solving.  Any two measurements that are equal to one.

BW: Why does ice float in water? BW: Why does ice float in water?

Work and Energy Level 1 Physics. OBJECTIVES AND ESSENTIAL QUESTIONS OBJECTIVES Define and apply the concepts of work done by a constant force, potential.

SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES.

The History of Balloon Flight

Text Chapter 1 – Introduction to Air Power. Learning Outcomes - Describe the relationship between Bernoulli’s Principle and Newton’s Laws of Motion and.

Copyright Sautter General Problem Solving Steps (1) Read the problem more than once (three of four times is preferable) (2) Decide what is to be.

WORLD POWER Progress in Flight. Civil War Balloons –First use by Union, but not very successful –Telegraph sent messages from balloon to ground –Mostly.

 1.5 Linear Equations Mr. Anderson Pre Calculus Falconer Central School 2010.

Chapter 2 Review Calculus. Given f(x), find f ‘ (x) USE THE QUOTIENT RULE.

Conestoga Valley High School Aviation Technology Physics Behind Hot Air Balloons.

Gas Law Practice for Review. A teacher spilled 36mL of HCl at SATP. Calculate how many of grams were spilled, as she then can calculate how much base.

Propulsion Module By: Wyatt Proudfoot

And each angle.

PROBLEMS WITH BALLOONS

AP Calculus AB 2.2 Average and Instantaneous Velocity

9.6 Solving Right Triangles Unit IIC Day 7. Do Now Find the value of x.

Slope and Direct Variation Today, you will need: A calculator Homework that is due today.

Physical Science Measurements 4.

Thermal Energy & Heat.

Angles of Elevation and Depression

Inverse Trigonometric Functions

Lighter-Than-Air Craft

Measurement Chart LENGTH Metric System Customary System

Velocity and Acceleration

Derivatives Created by Educational Technology Network

Lesson 8-10 Nonlinear Systems

Solving Quadratic equations by graphing.

Properties of Air Grade 6 Science Unit on Flight

Click to see each answer.

AN EXPANDING SITUATION

Lesson 1-2 Solving Equations by Adding or Subtracting Lesson 1-3 Solving Equations by Multiplying or Dividing Obj: The student will be able to 1) solve.

Falling Bodies.

Related Rates Chapter 5.5.

Types of Rainfall.

Many students have seen the cartoon movie “Up” Many students have seen the cartoon movie “Up”. To hook the students, consider playing the clip at.

A 61kW crane lifts a 1.0 ton (1000kg) mass up a height of 15.0m in 10.0s. What is the efficiency of the crane? (24%)

A 61kW crane lifts a 1.0 ton (1000kg) mass up a height of 15.0m in 10.0s. What is the efficiency of the crane? (24%)

Click to see each answer.

Presentation transcript:

Hot Air Balloons

History 220-280 ad China Military Lanterns 1709 Lisbon, Peru First Documented 1783 Paris, France First Manned 1950’s United Kingdom First Successful Flight 1991 Japan to Canada Longest 4767 miles 2005 Bombay, India Highest 68986 feet

Balloons versus Blimps or Zeppelins

How does a Hot Air Balloon Work? Hot air balloons are based on a very basic scientific principle: warmer air rises in cooler air. Essentially, hot air is lighter than cool air, because it has less mass per unit of volume. A cubic foot of air weighs roughly 28 grams (about an ounce). If you heat that air by 100 degrees F, it weighs about 7 grams less. Therefore, each cubic foot of air contained in a hot air balloon can lift about 7 grams. That's not much, and this is why hot air balloons are so huge -- to lift 1,000 pounds, you need about 65,000 cubic feet of hot air.

Physics of Ballooning

Components of a Hot Air Balloon

Piloting a Balloon http://science. howstuffworks. com/hot-air-balloon2

. Jacksonville, Florida is approximately 12 feet above sea level. A hot air balloon takes off from Jacksonville to travel to Tampa, Florida. The balloon's position measured over time is modeled by the following formula.

Calculus Exemplars What is the initial velocity? …..the initial height? Sketch a complete graph of the balloon’s position over time. When does the balloon reach a maximum height? When does it reach the ground? Where is the balloon positioned after 2 minutes? Find the average rate of change for the first 2 minutes. What is the instantaneous rate of change at 2 minutes?

What could you ask? Based on your NCSCOS objectives, how could you use the story of the hot air balloon to ask questions from K through 12 mathematics? Write an exemplar, solve it , and create a rubric to assess the necessary mastery.

Resources http://www.howstuffworks.com/hot-air-balloon.htm http://en.wikipedia.org/wiki/Hot_air_balloon