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So, why is a simple machine useful? Efficiency is related to friction, and friction depends on the smoothness of surfaces and on the area of the surfaces in contact. Work and machines worksheet pdf to word. The heavier child sits farther from the fulcrum. Increase the number of pulleys. The car, with its engine and four wheels has to be a complex machine. Look back at the pictures of the simple machines and think about which would have the highest efficiency.
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For a wheel and axle, the input distance is the circumference of the wheel, and the output distance is the circumference of the axle. BL] [OL] The calculation for IMA of a pulley seems too easy to be true, but it is. A machine cannot increase the amount of energy you put into it. Identify each object and write which simple machine it is. Examples of this type of lever are baseball bats, hammers, and golf clubs. Simple machines make work easier, but they do not decrease the amount of work you have to do. Calculating Mechanical Advantage and Efficiency of Simple Machines. Work and machines worksheet answer key. Watch children in 4th grade and 5th grade flit between the simplicity and complexity of machines. 4 m, which lifts a 40 N weight resting on the resistance arm a distance of 0. The mechanical advantage is a number that tells us how many times a simple machine multiplies the effort force. If the rod has a diameter of 1 cm and the IMA of the machine is 6, what is the radius of the handle? All sloping, paved surfaces for walking or driving are inclined planes. The beginning of this video may cause more confusion than illumination. Explain that simple machines are often hand-held, and that they reduce force, not work.
Note that, when using an inclined plane the load moves, but when using a wedge the load is stationary and the machine moves. Teaching tip—When calculating efficiency, it is easy enough to understand what force in and force out are: the force you apply is force in and the weight of the object that is being lifted is force out. Have the students compare this screw to a wood screw and a circular stairway. The input force of 11 N acting on the effort arm of a lever moves 0. Pulleys were once seen on sailing ships and farms, where they were used lift heavy loads. Ask them why steering wheels had a greater diameter before power steering was invented. Explain why more energy is usually lost to friction with these machines than with other simple machines. In the formula for IMA, the distance between screw threads is called pitch and has the symbol P. [BL] [OL] Suggest that a screw is classified as a separate type of simple machine perhaps because it looks so different from what it really is—an inclined plane which sometimes is turned by a lever. Work and machines worksheet pdf answer. The difference is that the effort arm can rotate in a complete circle around the fulcrum, which is the center of the axle. 9 is called a wheel and axle. Pulley systems are often used to raise flags and window blinds and are part of the mechanism of construction cranes. Refer back to the discussions of each simple machine for the specific equations for the IMA for each type of machine. While we push staples through pieces of paper in order to fasten them together nearly every day, little do we realize we are making a simple machine, a lever to be specific, work hard. 12 shows three different pulley systems.
Ask students to try to understand why IMA is simply N. Tell them that watching the video should make this point clear. 1 m. What is the efficiency of the machine? 10 shows the simple formulas for calculating the IMAs of these machines. 11 is actually a lever attached to a circular inclined plane. NGSS: 3-5-ETS1-1, 3-5-ETS1-2, 3-5-ETS1-3, 3-PS2-1, 3-PS2-2. Bicycles include wheel and axles, levers, screws, and pulleys. The equations show how a simple machine can output the same amount of work while reducing the amount of effort force by increasing the distance over which the effort force is applied. 8(b) shows the how a lever works mathematically. Energy loss to friction is reduced, but nothing is lifted. Don't let them confuse the term with complicated machines such as computers.
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In real life, some of the applied work always ends up as wasted heat due to friction between moving parts. For an additional fun activity, have the students search the Internet for Rube Goldberg machine. Although it cannot change the amount of work you do, a simple machine can change the amount of force you must apply to an object, and the distance over which you apply the force. Lever||mechanical advantage||output work||pulley||screw|. The lever part of these screws is a screw driver. Wood screws (of course) are also examples of screws. AL] Ask for recall of the formula W = f d. Explain that the product of force and distance is critical to understanding simple machines. Check Your Understanding. BL] [OL] Review the material on loss of mechanical energy to heat and the law of conservation of energy.
The first part of this video shows how to calculate the IMA of pulley systems. The student knows that changes occur within a physical system and applies the laws of conservation of energy and momentum. Introduction to Mechanical Advantage. The effort force, applied at Fe, lifts the load (the resistance force) which is pushing down at F r. The triangular pivot is called the fulcrum; the part of the lever between the fulcrum and F e is the effort arm, Le; and the part to the left is the resistance arm, Lr.
Some levers exert a large force to a short effort arm. For a screw, the input distance is the circumference of the circle over which the force is applied, and the output distance is the distance between the screw threads. Of all simple machines, mechanical advantage is easiest to calculate for pulleys. Dispel any misconceptions that machines reduce the amount of work. Be sure students do not equate machines and motors by asking for (and, if necessary, providing) examples of machines that are not motorized. Use the Check Your Understanding questions to assess students' achievement of the section's learning objectives. In this PDF packet, you will receive 3 worksheets, wherein students can identify common items that are created using simple machines. The simple machine shown in Figure 9. Remind the students that, for an ideal machine, work in = work out and that W = f d. The video shows how to find the fs and the ds. No simple or complex machines have the actual mechanical advantages calculated by the IMA equations. Ask for an explanation of the 2 in the equation for IMA. Devices like the one shown in Figure 9. Most students should skip to the final two or three minutes which explain the basics of calculating IMA of a lever from different ratios.
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This is the underlying principle of all simple machines. Once again we have to exert force over a longer distance to multiply force. 10 are used to lift cars and even houses. Wo and Wi can always be calculated as a force multiplied by a distance, although these quantities are not always as obvious as they are in the case of a lever. 13 combine two levers and two wedges. As shown in the figure, the ideal mechanical advantage is calculated by dividing the radius of the wheel by the radius of the axle. State the equation for efficiency of a simple machine, and calculate Wo and Wi. Reduce the radius of the pulley. This results in a smaller force acting over a greater distance at the end of the resistance arm. Efficiency of a Lever.
The input and output distances are easier to see for the lever, inclined plane and wedge. In another type of lever, the fulcrum is at the end of the lever and the load is in the middle, as in the design of a wheelbarrow. The reason why this cut and glue pdf for grade 4 and grade 5 is a sure scene-stealer is it defines each simple machine as simply as could be. Pulleys can still be seen in use, most commonly on large building cranes. Because the amount of work is not changed, the term f d does not change, but force can decrease if distance increases. In this section you will apply what you have learned about work to find the mechanical advantage and efficiency of simple machines. The other three are not as obvious. It shows a derivation using trig functions that is beyond the scope of this chapter. BL] [OL] Ask the students what they know about machines and work.
The equation for IMA is shown in Figure 9. How would lubrication affect the efficiency of a simple machine? An inclined plane and a wedge are two forms of the same simple machine.