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Mechanical Advantage

Mechanical Advantage. What do simple machines do for us anyway?. There are four ways that a machine helps us to do work. Transfers our effort force from one place to another. Ex: seesaw Multiply your effort force. Ex: crowbar Magnify speed and distance. Ex: baseball bat

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Mechanical Advantage

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  1. Mechanical Advantage What do simple machines do for us anyway?

  2. There are four ways that a machine helps us to do work. • Transfers our effort force from one place to another. Ex: seesaw • Multiply your effort force. Ex: crowbar • Magnify speed and distance. Ex: baseball bat • Changing the direction of the force. Ex: pulley on the flagpole

  3. IMA – Ideal mechanical advantage. This is the number of times a machine is designed to multiply your effort force. It is based on measurements of the machine. Ignores friction AMA – Actual mechanical advantage This is the number of times the machine actually multiplies your effort force. AMA = resistance force/effort force. Includes the effects of friction There are 2 types of mechanical advantage. IMA is always larger than AMA.

  4. Mechanical Advantage • Definition - a quantity that measures how much a machine multiplies force or distance • Two types • Actual: measures the actual forces action on a machine - AMA = output force input force • Ideal: measures the mechanical advantage in the absence of friction - IMA = input distance output distance

  5. Mechanical Advantage Problems Q: Alex pulls on the handle of a claw hammer with a force of 15 N. If the hammer has a actual mechanical advantage of 5.2, how much force is exerted on a nail in the claw? A: output force = (5.2)(15N) = 78 N Q: If you exert 100 N on a jack to lift a 10,000 N car, what would be the jack’s actual mechanical advantage (AMA) A: AMA= 10,000 N / 100 N = 100

  6. Mechanical Advantage Problems Q: Calculate the ideal mechanical advantage (IMA) of a ramp that is 6.0 m long and 1.5 m high? A: IMA = 6.0m / 1.5m = 4.0 Q: The IMA of a simple machine is 2.5. If the output distance of the machine is 1.0 m, what is the input distance? A: Input distance = (2.5)(1.0m) = 2.5 m

  7. Efficiency of Machines • Definition - a quantity, usually expressed as a percentage, that measures the ratio of useful work input • Formula - Efficiency = useful work output work input - % of work input that becomes work output - due to friction, efficiency of any machine is always less than 100%

  8. Efficiency Problems Q: Alice and Jim calculate that they must do 1800 J of work to push a piano up a ramp. However, because they must also overcome friction, they must actually do 2400 J of work. What is the efficiency of the ramp? A: 1800 J/ 2400 J x 100 = 75% Q: If the machine has an efficiency of 40%, and you do 1000 J of work on the machine, what will be the work output of the machine? A: Work Output = (Efficiency x work input) / 100% Work Output = (40% x 1000 J) / 100% = 4.0 x 102 J

  9. Simple Machines • Definition - one of the six basic types of machines • 2 types or families 1. lever 2. inclined planes

  10. Levers • Definition - a rigid bar that is free to move around a fixed point ex. screwdriver • all levers have a rigid arm that turns around a point called the fulcrum • force is transferred from one part of the arm to another • original input force can be multiplied or redirected into output force • levers are divided into 3 classes, based on the locations of the input force, output force, and the fulcrum

  11. There are 3 Classes of Levers • Depends on the location of 3 items: 1. Fulcrum – fixed point on a lever 2. Effort Arm – the part of the lever that exerts the effort force. 3. Resistance Arm – the part of the lever that exerts the resistance force.  EA  RA

  12. 1st Class Lever • Changes the direction of the force • Multiplies effort force • Magnifies speed and distance • Ex: seesaw, crowbar, scissors

  13. 2nd Class Lever • Multiply effort force • Mechanical advantage is always greater than 1. • Ex: bottle opener, boat oars, wheel barrow

  14. 3rd Class Lever • Magnifies speed and distance • Mechanical Advantage always less than 1 • Ex: baseball bat, golf club, broom, shovel

  15. Wheel and Axis • Definition - simple machine that consists of two disks or cylinders, each one with a different radius ex. steering wheel, screwdriver • made of a level or a pulley (wheel) connected to a shaft (axle) • small input force, multiplied to become a large output force

  16. Inclined Planes • Definition - slanted surface along which a force moves an object to a different elevation ex. knife, ax, zipper, wedge, screw • ramp redirects the force applied to lift object upward • turns a small input force into a large output force by spreading the work out over a large distance - wedge: functions as two inclinedplanes back to back, turning a downward force into two forces directed out to the sides -screw: an inclined plane wrapped around a cylinder

  17. Pulleys • Definition - a simple machine that consists of a rope that fits into a groove in a wheel. - very similar to a lever • point in the middle of the pulley is like a fulcrum • rest of the pulley acts like the rigid arm • 3 Types of Pulleys - fixed pulleys - moveable pulleys - pulley system

  18. Fixed And Movable

  19. Pulley System

  20. 1. What is the IMA of this pulley system?2. Ignoring friction, if you want to lift the resistance 3 meters what will the effort distance be?3. Ignoring friction how much effort force will be necessary to lift a load of 15 newtons?4. How much work is done?

  21. Compound Machines • Definition - a machine that is made of more than one simplemachine ex. scissors, jacks, bicycle, washing machine,car, clock

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