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Lesson: An Introduction to Inclined Planes Contributed by: Engineering K-Ph.D. Program, Pratt School of Engineering, Duke University
Learning Objectives (Return to Contents) After this lesson, students should be able to:
Introduction/Motivation (Return to Contents) Can someone raise their hand and tell me how they got to school today? Why did you take the bus/car? Would you rather have walked that long distance? So using a car/bus did you get to school faster and easier than if you had walked? Well this is because a car/bus is an example of a very complex tool that people use to make traveling easier! Can anyone else name some simple tools that you might see around your house? (Might name a hammer, screwdriver, kitchen appliance, etc.) Very good! And what does this tool do? Can anyone tell me why we might need to use tools like this hammer? Would you be able to take this nail and push it through a piece of wood with just your hands? No? This is because people use tools to help them do things that they can't do on their own. Tools are used to make work easier. Imagine if you invented a homework machine! Today we will be exploring a simple tool that you might not know much about. It's called an inclined plane. Does anyone know what inclined means? Inclined is when something is tilted, so that part of it is touching a lower point in space than the other. A plane is anything that is large and flat, like a piece of wood or a football field. So now that you know what inclined and plane mean, what is an inclined plane? An inclined plane is a large flat object that is tilted so that it goes from a lower point in space to a higher one (show an example using a flat piece of wood). Can anyone tell me what this tool could be used for? Lets say you're a professional skateboarder and you want to try out a cool trick, but what do you need? You need some AIR! What does a skateboarder use to get in the air? That's right! A ramp! But what is a ramp? (Draw one on the board). A ramp is just a flat piece of wood that is tilted upwards, so that a skateboarder can get from the ground to up in the air and pull off his trick! This makes a ramp an inclined plane! Who else might use an inclined plane besides a skateboarder? Lets say you are an engineer building a road from here to California (draw map on board), but what's in your way? (Ans: Rocky Mountains) That's right, these gigantic Rocky Mountains are blocking the road! How do engineers build roads over mountains? They use hills! Whenever you drive up a hill on the road, you're driving up an inclined plane! Remember how we said that tools are used to make work easier? Now that we know an inclined plane can be used to move something (car, skateboarder, etc.) from a low point to a high point, let's find out why inclined planes make work easier. Lesson Background & Concepts for Teachers (Return to Contents) Teachers should be familiar with the role inclined planes play as simple machines and some examples of their applications in the real world for use during the lesson. Inclined planes serve as tools that reduce the work necessary to transfer objects to different vertical heights. As the students will discover in the lesson, the actual weight lifted up an inclined plane turns out to be significantly less than the weight that would be lifted if the object were lifted straight up into the air. Inclined planes find their way into roadway construction, bike and skateboard ramps, wheelchair access, etc. Many tasks that we undertake in everyday life require the use of tools. These tools can be as simple as forks and spoons to help us eat or as complicated as cars and airplanes to help us travel around the world. But why use these tools? Tools and machines that humans design and use are meant to make certain tasks easier, and move other tasks into the realm of possibility. One category of everyday tools that many students are familiar with is simple machines. This category consists of levers, inclined planes, and pulleys. These are very basic tools with practical, everyday applications. The one investigated in this lesson is inclined planes. The function of the inclined plane is to reduce the effective weight of the object. An object being pulled up an inclined plane requires less force than an object hoisted vertically. When an object is pulled up an inclined plane a significant portion of the total weight of the object is supported by the ramp and the rest supported by the person pulling. How much of this weight is supported by the ramp and how much must be pulled by the person depends on the angle of inclination of the ramp. This concept is illustrated in the diagram below in which W represents the total weight of the object, Wy represents the portion of the weight supported by the ramp and Wx represents the portion of the weight "felt" or actually pulled by the individual.
In contrast, when an object is lifted vertically, the extra support of the ramp does not exist and the entire weight of the object is instead supported by the person doing the lifting. This fact of physics allows inclined planes to make the task of changing the vertical height of an object, say a car using an inclined road to drive up a mountain, use less work than if it were instead lifted straight up, say a car being hoisted over the mountain, which just isn't practical. Vocabulary/Definitions (Return to Contents)
Associated Activities (Return to Contents)
Lesson Closure (Return to Contents) So what are some things we learned about tools today? We learned that tools are used to make work easier? What were some of the tools around the house that we named before? What kinds of work to they make easier? How? Can someone define an inclined plane for me? What is it used for? Can anyone name an example of an inclined plane? How do they make work easier? Engineers use inclined planes all the time, whether to construct roads, skateboarding ramps, handicap access, sidewalk ramps, etc. Next time you are driving over the Rocky Mountains, think about the reasons why an engineer decided to use the inclined plane to get your car over the mountain. Would you have wanted to have walked? Attachments (Return to Contents)
Assessment (Return to Contents) Post-Introduction Assessment Go through the questions on the attached Pre-Activity Worksheet with the class as a whole. Guide the answers of the class to formulate a correct mind-frame before the experiment. Post-Lesson Assessment Use the experiment worksheet and the concluding design worksheet from the associated activity, Heave Ho!, as tools to evaluate student understanding. Contributors Mike McGroddyCopyright © 2007 by Engineering K-Ph.D. Program, Pratt School of Engineering, Duke Universityincluding copyrighted works from other educational institutions and/or U.S. government agencies; all rights reserved. Supporting Program (Return to Contents) Engineering K-Ph.D. Program, Pratt School of Engineering, Duke UniversityLast Modified: January 20, 2009 | ||||||||||||||||||||||||||||||
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