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[HOME] [KEY STAGE 3] [KEY STAGE 4] [AS - A LEVEL] [GLOSSARY]
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The need to move large objects and the desire to make this task easier probably led to one of the most important inventions - the wheel. It is not too much of an exaggeration to say that if we did not have the wheel, many tasks would be impossible. Just take a look at your own surroundings...... Different ancient cultures arrived at the idea of the wheel in many different ways and at different times sometimes almost a thousand years apart! Pulleys . . . From a wheel, it is only a small jump to create a mechanical system of transferring energy from one point to another by connecting two wheels with a belt. What would happen if we were to use this method of transferring motion from one pulley to another? This system can be useful as it stands. With a slight modification to the wheels and the belt we can stop the belt from sliding off the wheel, but there is still the problem that the belt may slip around the pulley ! Chain and Sprocket The problem of slipping in a belt and pulley system have been overcome with a sprocket and chain. What are the advantages and disadvantages of this type of arrangement? To complete the link between the two systems using new materials, a mechanism for the accurate rotation of one pulley by another has been designed - the toothed belt and pulley. This has all the advantages of a chain and sprocket without the disadvantages of friction, wear and the need for lubrication Gears Fixing pegs to a wheel transforms it into a gear. It is not known when or how the first gear was used.. However, we do know what materials were used and we can speculate as to what it may have looked like. It is clear that a wooden gear-wheel constructed like this would have many problems, all of which would reduce its efficiency. It was only a matter of time before gears were made to fit accurately into each other. We call this meshing. Why do you think that the tooth of a gearwheel is shaped as it is and not with a sharp point? TYPES OF GEARS Gears transfer rotary motion from one shaft to another without slipping. There are many types of gears because of the number of different type of movements that are required. Can you work out where these gears might be used and what each type is called? THE SCREW THREAD gives us a great deal of accurate control and an increase in effort. The screw-thread is always used to convert a circular movement into a linear motion. The control of a stick deodorant is by a screwthread. If the base is rotated, the screw-thread attached to the base will also turn. This pulls down or pushes up the stick. Where else do you see a rotary motion being converted into a linear motion ?. The tap uses a screw-thread. Turning the tap on lifts the washer, which allows water to flow from the tap. The screw-thread is an extensively used mechanism and gives us a large mechanical advantage. If you turn on a tap fully, how much force do you have to use to stop the flow of water with your finger? SCREW THREAD AS CONTROL If you place your thumbnail on a screw-thread and turn the thread you will notice that the thumbnail moves along the thread. The movement is very slow and hardly noticeable. Here, the screw-thread is converting a rotary motion into a linear motion. Now substitute a small gear for the thumbnail (See diagram. ) In this new arrangement the rotary motion is converted to another rotary motion but we have changed the axis. Therefore we have converted both the direction and the position. This arrangement is used in a guitar. Here a large number of turns of the key are required to turn the gear once, again providing a great deal of control. We call this mechanism a worm-gear and worm-wheel. The majority of machines use some kind of rotary movement. Some, like the bicycle, are totally based on rotating parts. Others use a rotary input motion which they change into a different output motion. A car engine does things the other way round, it changes the reciprocating motion of the pistons into a rotary motion of the wheels.Internal combustion engines or electric motors are often used to provide a rotary input movement and force to a machine. The input speed is rarely the one needed for the output. A means has to be found of connecting the input and output while also changing the speed. It may also be necessary to reverse the direction of rotation at the same time. These things can be done using either pulley systems, chain and sprocket systems or gear systems, or a combination of the three. PULLEY SYSTEMS Pulley systems use a belt to transmit motion and force from the driver shaft to the driven shaft. The continuous V-belt is the one most often used. It fits tightly into the groove on the pulley wheels to keep slipping to a minimum. V-belts come in a variety of widths and thicknesses. Speed changes are made by using different size pulleys on the driver and driven shafts. By comparing the size of the two pulleys you can calculate the velocity ratio of the system. For example in the diagram shown here: Driver pulley = 140 diameter Driven pulley = 35 diameter
Velocity ratio = Driven pulley diameter Driver pulley diameter
= 35 1 or 1:4 140 4 In other words, one turn of the driver shaft will give four turns of the driven shaft. The speed of the driven shaft can be calculated using: Output speed (OS) = Input speed (IS) Velocity ratio (VR) e.g. If input speed = 1860 rpm and VR = 1:4
OS = IS = 1860 = 7440 rpm VR 1:4 Chain and sprocket systems use a chain to transmit rotary motion from the driver shaft to the driven shaft. Sprockets are the toothed wheels on which the chain runs. Unlike some pulley systems the chain and sprocket cannot slip. Bicycles and motorbikes use a chain and sprocket system, because of its strength and because it will not slip. Like a pulley and belt system, a chain needs to be correctly tensioned. On a bicycle, this is done by moving the position of the back wheel or, if the bike has derailier gears, by the spring loaded jockey wheels. One of the disadvantages of a chain and sprocket system is that it needs to be well oiled, particularly on a bicycle, if it is not to go rusty.When it comes to working out speed changes, sprocket and chain systems are very similar to pulley systems. The only difference is that instead of using the pulley diameters you use the number of teeth on the sprockets. For example if: Driver sprocket has 60 teeth Driven sprocket has 15 teeth
VR = No of teeth on driven sprocket No of teeth on driver sprocket
= 15 = 1 or 1:4 60 4 GEARS Gears are toothed wheels, fixed to the driver and driven shafts, which mesh together. A number of gears connected together is called a gear train. The diagram shows a pair of spur gears, fixed to parallel shafts, forming a simple gear train. The shafts will turn in opposite directions and, because the gears are different sizes, at different speeds. The difference in their speeds (velocity ratio) can be calculated from the number of teeth on each gear: VR = No of teeth on driven gear = 30 = 2 or 2:1 or 2 No of teeth on driver gear 15 1 In other words, two turns of the driver shaft are needed to give one turn of the driven shaft. To get them to turn in the same direction, a third gearwheel has to be fitted between them, as shown. This idler gear has no effect on the speeds of the other two shafts, whatever its size. It simply makes the driver and driven shafts rotate in the same direction. Compound gear trains involve several pairs of meshing gears. They are used where it is necessary to make large speed changes or to get different outputs moving at different speeds. Worm Gears Another way of making large speed reductions is to use a worm gear and wormwheel. The worm, which looks rather like a screw thread, is fixed to the driver shaft. It meshes with the wormwheel which is fixed to the drrven shaft. The driven shaft runs at 90° to the driver shaft. When considering the speed changes in most worm gear systems, you can think of the worm as if it were a spur gear with one tooth. It is a single tooth wrapped around a cylinder. The velocity ratio between the gears shown is:
VR = Driver = 30 = 30 or 30:1 Driven 1 Bevel Gears Bevel gears, like worm gears, use shafts at 90° to each other.The hand drill shown uses them not only to change the rotary motion through 90 degrees, but also, by using different sized gears, to increase the speed of rotation. The one shown gives a speed increase of15. Helical Gears Helical gears have their teeth at an angle across the gearwheel. Each tooth is very slightly curved. Its shape is part of a helix, a type of spiral. Helical gears are quieter and more efficient than normal spur gears. They are used in things like gearboxes where smooth, guiet, efficient transfer of power is important. By angling the teeth even more, they can also be used to change the direction of drive through a 90° angle. Rack and Pinion Systems Rack and pinion systems involve changes between rotary and linear motion. They can be used either way round. You use this type of system on a drilling to bring the drill down into the work. Gearwheels are usually made of steel or plastic. Plastic gears have the advantage that they are much quieter running and need much less lubrication than steel gears. Many gear trains include at least one gear to reduce noise. CAMS, CRANKS and SLIDERS Although there are both linear and rotary cams, rotary cams are far more common. They are used to change rotary motion into either reciprocating or oscillating motion. Cams are shaped pieces of metal or plastic fixed to, or part of, a rotating shaft. A’follower’is held against the cam, either by its own weight or by a spring. As the cam rotates, the follower moves The way in which it moves and the distance it moves depends on the shape of the cam CIRCULAR CAM This is the simplest form of rotary cam, also known as an’eccentric’cam because the circle is fitted’off-centre’ on the driving shaft. This type of cam gives the follower a smooth continuous movement known as simple harmonic motion. PEAR SHAPED CAM This diagram shows an overhead camshaft which, as it rotates, opens and closes the inlet and exhaust valves in an engine. Each of the pear shaped cams controls the movement of one valve, opening and closing it at the correct time in the firing seguence. With pear shaped cams there is guite a long dwell period, more than half the cycle, during which the follower does not move. When the follower is moving, the rise and fall times are egual because of the symmetrical shape of the cam. The distance the follower moves depends on the stroke of the cam. HEART SHAPED CAM The heart shaped cam gives the follower a continuous uniform motion. It moves smoothly, at a constant speed. The bobbin winding mechanism on a sewing machine uses a heart shaped cam so as to wind the thread evenly onto the bobbin. Similar mechanisms exist in industry to wind wire and cables onto large reels. ‘ OTHER CAMS There are several other types of cam. The box cam and the cylindrical cam, are two of them. CRANK and SLIDER Crank slider mechanisms involve changes between rotary and reciprocating motion. The diagram right shows the basic principles. The crank rotates while the slider reciprocates. The longer the crank the further the slider will move. Crank sliders can be used in several ways, but the two main ways are: 1. To change reciprocating motion into rotary motion, as in a car engine. The reciprocating pistons are connected to the crankshaft by connecting rods.As the pistons move up and down the connecting rods push the crankshaft round. Each piston moves down in turn, so keeping the crankshaft turning. 2. To change rotary motion into reciprocatina motion, as in a power hacksaw. An electric motor powers a crank which is connected to the saw frame. The saw frame is free to slide on the’arm’. As the crank rotates it causes the frame to slide backwards and forwards on the arm. The longer the crank the further the saw frame will move. A compressor also uses this idea to provide compressed air for pneumatic systems. The rotary motion of an electric motor is used to make a piston reciprocate. As it reciprocates, it draws in air and then forces it, through a one-way valve, into the receiver tank.
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