Simply Machines Developed and Published by AIMS Education Foundation This book contains materials developed by the AIMS Education Foundation. AIMS (Activities Integrating Mathematics and Science) began in 1981 with a grant from the National Science Foundation. The non-profit AIMS Education Foundation publishes hands-on instructional materials that build conceptual understanding. The foundation also sponsors a national program of professional development through which educators may gain expertise in teaching math and science. Copyright © 2011 by the AIMS Education Foundation All rights reserved. No part of this book or associated digital media may be reproduced or transmitted in any form or by any means—except as noted below. • A person purchasing this AIMS publication is hereby granted permission to make unlimited copies of any portion of it (or the files on the accompanying disc), provided these copies will be used only in his or her own classroom. 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Chestnut Ave., Fresno, CA 93702-4706 • 888.733.2467 • aimsedu.org ISBN 978-1-60519-040-2 Printed in the United States of America SIMPLY MACHINES © 2011 AIMS Education Foundation PAINT SIMPLY MACHINES Table of Contents Assembling Rubber Band Books.......... 4 Simply Machines Overview.................. 5 Simple Machines................................. 7 Inclined Plane Inclined Planes............................ 89 Monkeys on the Plane.................. 91 Inclined to Work......................... 103 Lever Lightening With Levers................... 9 Lever Load Up.............................. 13 Monkeys on a Lever..................... 21 Open Sesame............................... 31 The Lever..................................... 39 Wedge The Wedge.......................113 Where’s the Wedge?.........115 Wedge Edge.....................123 Wheel and Axle The Wheel and Axle..................... 41 Toying With a Wheel and Axle...... 45 Ruler Racers................................. 53 Gears...........................................61 Screw The Screw..................................... 131 Twist and Turn............................... 133 As the Screw Turns........................ 141 Ramp Around................................ 143 Pulley Pulleys.......................................... 63 Pulley Pull-Ups............................. 65 Give Me a Lift...................... 75 A Quick Turn Around.......... 83 Compound Machines Compound Components................ 153 Simple Machines Search............... 161 Website Watch: Simple Machines.... 171 Just for Fun Monkey Business........................... 173 Materials List...................................... 177 SIMPLY MACHINES 3 © 2011 AIMS Education Foundation Simply Machines Overview A machine is a device for multiplying forces or changing the direction of forces. Machines do NOT make work easier; they merely trade force for distance or distance for force. Work = force x distance Work is done when something is moved. The amount of work done is determined by how much force was used to move the object and how far the object was moved. Students will not be determining work in this series of activities. They will, however, be making observations (both quantitative and qualitative) as to • the amount of force needed to move an object, • the distances an object is moved, and/or • the change in direction of the forces. Six simple machines are explored: Lever Levers help to lift loads with less effort. The force needed for lifting changes as the distance of the effort arm changes. Wheel and Axle Wheels and axles are turning levers. The larger the wheel, the less force is needed to turn it, but it must turn a greater distance. Gears are a variation of the wheel and axle. Pulley PUlley Pulleys can be used to lift loads with less effort and/or change the direction of force. Inclined Plane Inclined planes can be used to raise objects with less force than a straight lift. The exchange is that the distance the objects goes is greater. Wedge A wedge is two inclined planes placed back to back. Screw A screw is an inclined plane that is wrapped around a shaft. SIMPLY MACHINES 5 © 2011 AIMS Education Foundation Topic Simple machines: lever Background Information A lever is a simple machine made of a stiff bar (a lever arm) and a point about which the lever arm turns (the fulcrum). A door acts as a lever with the hinge as the fulcrum and the door as the lever arm. The advantage of a lever (leverage) is that the farther the point that you apply force is from the fulcrum, the less force it takes to move the lever. The disadvantage of a lever is the farther the point that you apply force is from the fulcrum, the greater distance you have to push the lever arm. In this activity, students will be pulling a cupboard door at different distances from the hinge to see how the effort with which they pull changes. Key Question How does where you pull a door affect how hard you have to pull? Learning Goals Students will: • recognize and identify a door as a lever with the hinge as the fulcrum and the door as the lever arm, • measure the force needed to move the door at different distances from the fulcrum, and • generalize the position that makes pulling the door the easiest. Management 1. The number of appropriate cupboard doors will determine how the activity is managed. If only one or two are available, the students will need to rotate in small groups. If a larger number is available, each group can have its own door. 2. Loop one rubber band through each arm of the binder clip for each group. The rubber bands should all be the same size. Guiding Documents Project 2061 Benchmark • In something that consists of many parts, the parts usually influence one another. NRC Standards • The position and motion of objects can be changed by pushing or pulling. The size of the change is related to the strength of the push or pull. • Plan and conduct a simple investigation. Science Physical science force and motion simple machines lever Integrated Processes Observing Comparing and contrasting Identifying Generalizing Procedure 1. Have students read the rubber band book LeverLever Land. 2. Ask volunteers to go to the classroom door and open it by pushing both at the inside edge (near the hinge) and the outside edge. Have them share with the class how these experiences felt different. 3. Discuss the Key Question with the class and have them discuss how the door is a lever. 4. Distribute the student page and have students identify the fulcrum and lever arm. 5. Explain the procedure by demonstrating the three positions where the binder clip is placed: outside, middle, inside. Materials For each group: 1 large binder clip 2 rubber bands cupboard door For each student: Lever-Lever-Land rubber band book #19 rubber band student page SIMPLY MACHINES 31 © 2011 AIMS Education Foundation 6. Have students go in groups to their assigned cupboard door and have each student feel how hard they have to pull to move the door with the binder clip in each position. Have them also observe how much the rubber band stretches in each position. With a rubber band on each side of the clip, the students can pull the door back and forth. 7. Have students record their observations at each position on the record page and generalize their observations by answering the Key Question. 8. Discuss the Connecting Learning questions. 4. Where are doorknobs usually placed on a door? Explain why they are put there. [outside, easier to pull, leverage] 5. How do levers help make jobs easier? [reduce force required] 6. Where do you find levers in the real world? [crow bar, claw hammer, wheelbarrow, door] Explain how each makes a job easier. 7. What are you wondering now? Extensions 1. On the same door, place a binder clip on the inside and the outside. Have students participate in a “tug-o-war” with the goal of pulling from both sides while keeping the door in one position. Have them notice how the rubber bands are stretched and explain why. 2. Have students identify all the levers in the rubber band book. Have them identify the fulcrum, lever arm, and the advantage in the example. Connecting Learning 1. What is a lever? [rigid bar: lever arm, point of rotation: fulcrum] 2. How is a door an example of a lever? [door: lever arm, hinge: fulcrum] 3. In what position was it easiest to move the door? [outside] How did you observe this with the rubber band? [not stretched much] In what position was it hardest to move the door? [inside] How did you observe this with the rubber band? [stretched a lot] SIMPLY MACHINES 32 © 2011 AIMS Education Foundation Key Question How does where you pull a door affect how hard you have to pull? Learning Goals • recognize and identify a door as a lever with the hinge as the fulcrum and the door as the lever arm, • measure the force needed to move the door at different distances from the fulcrum, and • generalize the position that makes pulling the door the easiest. SIMPLY MACHINES 33 © 2011 AIMS Education Foundation SIMPLY MACHINES 34 © 2011 AIMS Education Foundation 8 There are levers all around. Try to find other examples. A lever is a simple machine. It has two parts: a rigid bar and a pivot point. The rigid bar is called the lever arm. The pivot point is the part where the bar can turn. It is called a fulcrum. All these examples had a lever arm and a fulcrum. Did you notice that the fulcrum can be located in different places along the lever arm? 2 7 4 5 A broom in your hands is a lever. The handle is the lever arm. Where do you think the fulcrum is? If you thought the fulcrum was the wrist on your top hand, you were right. A wheelbarrow is also a lever. The handle is the lever arm. The place where the handle attaches to the wheel is the fulcrum. Have you ever used a hammer to take a nail out of a piece of wood? The hammer is a lever. A can opener is also a lever. Color the lever arms red. Place a blue X on each pivot point. A seesaw is a lever. You can see the lever arm and the fulcrum. 6 SIMPLY MACHINES 3 35 © 2011 AIMS Education Foundation How does where you push or pull a door affect how hard you have to push or pull? Observations: Observations: Identify the parts of the lever. Near the hinge In the middle At the edge Observations: Why are doorknobs on the outside edges of doors? SIMPLY MACHINES 36 © 2011 AIMS Education Foundation Connecting Learning 1. What is a lever? 2. How is a door an example of a lever? 3. In what position was it easiest to move the door? How did you observe this with the rubber band? In what position was it hardest to move the door? How did you observe this with the rubber band? 4. Where are doorknobs usually placed on a door? Explain why they are put there. 5. How do levers help make jobs easier? 6. Where do you find levers in the real world? Explain how each makes a job easier. 7. What are you wondering now? SIMPLY MACHINES 37 © 2011 AIMS Education Foundation
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