National Aeronautics and Space Administration GRADES 5-8 Bernoulli’s Principle Aeronautics Research Mission Directorate principles of flight Museum in a BO SerSeriesieXs www.nasa.gov MUSEUM IN A BOX Bernoulli’s Principle Materials: In the Box Lesson Overview Drinking straws Ruler In this inquiry-based lesson, students will will learn Scissors about energy transfer as well as motions and forces 1 clear plastic cup as they engage in a series of five experiments, each of which will demonstrate the Bernoulli Principle. The Water students will discuss the role of the Bernoulli Principle Food coloring (optional) in regards to flight only after they have completed Medium-sized funnel (or the top of a 2-liter bottle) their experiments, thus giving them a context for 1 ping-pong ball better understanding the Bernoulli Principle. Provided by User Objectives Paper Students will: 2 empty soda cans 1. Explain that air is a fluid similar to water. Several cheese balls 2. Demonstrate how the Bernoulli Principle helps create lift. 3. Use the scientific method to predict, observe and conclude. 4. Explain the relationship between the velocity of a fluid and the amount of lift created. GRADES 5-8 Time Requirements: 2 hours principles of flight 2 Background How is it that today’s airplanes, some of which have a maximum take off weight of a million pounds or more, are able to get off the ground in the first place, let alone fly between continents? Surprisingly, even with today’s technological advances, we still use the same principles of aerodynamics used by the Wright brothers in 1903. In order to gain an understanding of flight, it is important to understand the forces of flight (lift, weight, drag, and thrust), the Bernoulli Principle, and Newton’s first and third laws of motion. Although the activities in this lesson primarily focus on the role the Bernoulli Principle plays in the ability of aircraft to achieve lift, the Bernoulli Principle is not the only reason for flight. The Forces of Flight At any given time, there are four forces acting upon an aircraft. Lift These forces are lift, weight, drag and thrust. Lift is the key aerodynamic force that keeps objects in the air. It is the force that opposes weight and thus, the force that helps keep an aircraft MUSEUM IN A BOX in the air. Weight is the force that works vertically by pulling all Thrust Drag objects, including aircraft, toward the center of the Earth. In order to fly, an aircraft needs something to press it in the opposite direction of gravity, and the weight of an object controls how strong that pressure will need to be. Lift is that pressure. Drag is a mechanical force generated by the interaction and contract of a solid body, such as an airplane, with a fluid (liquid or gas). Finally Weight there is thrust, or the force that is generated by the engines of an Fig. 1 Four forces of flight aircraft in order to move the aircraft forward in its path. Newton’s Laws of Motion Also, essential to an understanding of how airplanes fly, are the laws of motion first described by Sir Isaac Newton. Newton (1642 -1727) was an English physicist, mathematician, astronomer, alchemist, theologian and natural philosopher. He has long been considered one of the most influential men in human history. In 1687, Newton published the book “Philosophiae Naturalis Principia Mathematica”, commonly known as the “Principia”. In “Principia” , Newton explained the three laws of motion. Newton’s first and third laws of motion are especially helpful in explaining the phenomenon of flight. The first law states that an object at rest remains at rest while an object in motion remains in motion, unless acted upon by an external force. Newton’s second law states that force is equal to the change in momentum per change in time. For constant mass, force equals mass times acceleration or F=m·a. Newton’s third law states that for every action, there is an equal and opposite reaction. (Painting by Sir Godfrey Kneller - 1689) Img. 1 Sir Isaac Newton (age 46) principles of flight 3 MUSEUM IN A BOX The Bernoulli Principle So, how does Daniel Bernoulli, who is known for the Bernoulli Principle, figure into all of this? Bernoulli built his work off of that of Newton. Bernoulli (1700 – 1782) was a Dutch-born scientist who studied in Italy and eventually settled in Switzerland. Daniel Bernoulli was born into a family of renowned mathematicians. His father, Johann Bernoulli, was one of the early developers of calculus and his uncle Jacob Bernoulli, was the first to discover the theory of probability. Although brilliant, Johann Bernoulli was both ambitious for his son Daniel and jealous of his son’s success. Johann insisted that Daniel study business and later medicine, which Daniel did with distinction. It was mathematics, (Public Domain) however, that really captured Daniel’s interest and imagination. Despite Daniel’s best efforts, Johann never acknowledged his son’s Img. 2 Daniel Bernoulli brilliance and even tried to take credit for some of Daniel’s most important ideas. After Daniel’s studies, he moved to Venice where he worked on mathematics and practical medicine. In 1724, he published Mathematical exercises, and in 1725 he designed an hourglass that won him the prize of the Paris Academy, his first of ten. As a result of his growing fame as a mathematician, Daniel was invited to St. Petersburg to continue his research. Although Daniel was not happy in St. Petersburg, it was there that he wrote “Hydrodynamica”, the work for which he is best known. h In 1738, Bernoulli published “Hydrodynamica”, his study in fluid dynamics, or the study of how V V1 2 fluids behave when A1 1 A2 2 p they’re in motion. Air, P like water, is a fluid; 1 P2 however, unlike water, Fig. 2 Bernoulli fluid experiment which is a liquid, air is a gaseous substance. Air is considered a fluid because it flows and can take on different shapes. Bernoulli asserted in “Hydrodynamica” that as a fluid moves faster, it produces less pressure, and conversely, slower moving fluids produce greater pressure. By gaining an understanding of the forces at work on an airplane and what principles guide those forces, we are able to explain how lift is generated for an airplane. First, it takes a force, or thrust, to get the airplane moving. That’s Newton’s first law at work. This law states that an object at rest remains at rest while an object in motion remains in motion, unless acted upon by an external force. principles of flight 4 Then because of the shape of an airplane’s wing, called an airfoil, the air into which the airplane flies is split at the wing’s leading edge, passing above and below the wing at different speeds so that the air will reach the same endpoint along the trailing edge of the wing at the same time. In general, Leading Edge the wing’s upper surface is curved so that the air rushing over the top of the wing speeds up and Trailing Edge stretches out, which decreases the air pressure above the wing. In contrast, the air flowing below the wing moves in a straighter line, thus its speed and pressure remain about the same. Since high pressure always moves toward low pressure, the air below the wing pushes upward toward the air above the wing. The wing, in the middle, is then Fig. 3 Airfoil MUSEUM IN A BOX “lifted” by the force of the air perpendicular to the wing. The faster an airplane moves, the more lift there is. When the force of lift is greater than the force of gravity, the airplane is able to fly, and because of thrust, the airplane is able to move forward in flight. According to Newton’s third law of motion, the action of the wings moving through the air creates lift. principles of flight 5 MUSEUM IN A BOX Key Terms: Air pressure Activity 1 Discovering the Bernoulli Principle Air foil Bernoulli Principle Conclude Fluid GRADES 5-8 Time Requirements: 2 hours Fluid dynamics Lift Materials: Objective: Newton’s Laws of Motion Observe In the Box Students will learn about motions and forces as they use the scientific method to predict, observe and conclude as they conduct a variety of experiments to discover Predict Drinking straws how the velocity of air determines the amount of pressure the air is able to exert. Later, Scientific Method Ruler students will relate what they observed to the Bernoulli Principle. Thrust Scissors Velocity 1 clear plastic cup Activity Overview: Water Students will engage in a series of six experiments that relate to the Bernoulli Principle, Medium-sized funnel (or first making predictions about the outcomes of their experiments. Students will record the top of a 2-liter bottle) observations about each of the experiments, then participate in a discussion about 1 ping-pong ball Bernoulli’s Principle. After the discussion, students will be able to directly relate the experiments to Bernoulli’s Principle. Provided by User Paper Activity: 2 empty soda cans PART ONE: INTRODUCING THE EXPERIMENTS Several cheese balls Alcohol swabs 1. Tell the students that they will be conducting a series of experiments in which they will explore the Bernoulli Principle. Worksheets 2. Tell the students that they will learn more about the specifics of the Bernoulli Bernoulli Experiment Log Principle after they have conducted their experiments and recorded their (Worksheet 1) observations in their Bernoulli Experiment Log. Student Activity Instructions (Worksheet 2) 3.