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Ch 14 Work, Power, and Machines
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Work – transfer of energy through motion a. Force must be exerted through a distance Ch 14 WORK AND POWER
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b. Amount of Work depends on: –1. Amount of applied Force –2. Distance over which the force is applied Work F d
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c. W=Fd (Force multiplied by distance) d. Unit is the Joule (1J = 1Nm) Work F d
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e. In order for work to be done: –1. Something has to move –2. Motion must be in the direction of the force
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How much work is done when a car is pushed with 600 N of force for a distance of 50m?
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How far will a ball roll if 17J of work was done to push it with 2 N of force?
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Power – rate of doing work a. To increase Power: –1. increase work done –2. do work in less time
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b. P=W/t (Work divided by time) c. SI unit is Watt (1W=1J/s) d. common unit is horsepower (1hp=746W) Work P t
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How much power is needed to do 40 Joules of work in 5 seconds?
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How long will it take to do generate 70 Watts of power if I do 4900 Joules of work? How much power will I need if I want to do the same amount of work in half the time? –Twice as much
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Reference table check Work F d P t Fd P t
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You exert a vertical force of 72 N to lift a box a height of 1 meter in a time of 2 seconds. How much power is used to lift the box?
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Star questions True or False –Decreasing the amount of time it takes to do work, increases the power –True –Motion must occur in order for work to be done –True
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Machines Make work easier Device that changes a force
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How do machines make work easier? Increasing force –Rising a car using a jack Increasing distance –Using oars to row a boat Changing direction –Pulling back on the oars to row a boat More details later-this is an overview :o)
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Work Input (on) vs Work Output (by) Work done on a machine as the input force acts through the input distance Work done by a machine as the output force acts through the output distance You cannot get more work out of a machine than you put into it!
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Mechanical advantage # of times the machine increases an input force Actual (AMA) = output force( F R ) input force (F E ) F R = resistance (output) force F E = effort (input) force
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You test a machine and find it exerts a force of 5N for each 1N of force you exert operating the machine. What is the Actual Mechanical Advantage of the machine? 5N/1N = 5
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If the output force is 100 N and the input force is 15 N, what is the AMA of the simple machine? Output/input=100N/15N=
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Ideal (IMA) = MA in absence of friction IMA = input distance( d E ) Output distance (d R ) d E = effort (input) distance d R = resistance (output) distance bc friction is always present, AMA is always less (<) than IMA
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If x = 3 cm and y = 15 cm, what is the ideal mechanical advantage of the pliers? x y 15cm / 3cm = 5
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A student working in a grocery store after school pushes several carts together along a ramp. The ramp is 3 m long and rises 0.5 m. What is the mechanical advantage? Input/output=3m/0.5m=6
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What is the MA? 12 / 3=4 12 m 3 m
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What is the MA of the pulley? 1 2
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no machine can be 100% efficient, why not? Efficiency work output Efficiency = ------------------------- X 100% work input
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Thanks Cambridge Physics Outlet for amazing graphics!
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You have just designed a machine that uses 1000J of work from a motor for 800J of useful work the machine supplies. What is the efficiency of your machine? 800J / 1000J X 100 = 80%
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STAR Questions What three things make machines work easier Increasing force Increasing distance Changing direction What two things does the amount of work depend on? –Force & distance To increase Power I must do work in ________ time –less
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Types of simple machines 1.Lever – rigid bar that is free to move around a fixed point
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Fulcrum=the fixed point the bar rotates around Input arm (effort) = distance between the input force and fulcrum Output arm (load) = distance between the output force and the fulcrum
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Position of fulcrum identifies class of lever
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First class levers Fulcrum located between the input force (effort) and output force (load)
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Second class levers Output force (effort) is located between the input force (load) and fulcrum MA is >1 Increases force The input distance your hands move to lift the wheelbarrow is larger than the output distance the wheelbarrow moves to lift its load
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Third class levers Input force is located between the fulcrum and the output force MA <1 Increases distance The output distance over which the lever exerts its force is always larger than the input distance you move the lever through
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2. Wheel and Axle Variation of a lever Consists of two disks (cylinders) each one with a different radius
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3. Pulley Variation of a lever Consists of a rope that is different in size, direction, or both from that of the input force
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3 types of pulleys 1. Fixed pulley = changes only the direction of the input force
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2. Movable pulley = changes both direction and the size of the input force
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3. Pulley System= made up of both fixed & movable pulleys
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4. Inclined Plane Slanted surface along which a force moves an object to a different elevation
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5. wedge Variation of inclined plane A V-shaped object whose sides are two inclined planes sloped toward each other * A thin wedge has a greater IMA than a thick wedge of the same length
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6. screw Variation of inclined plane Wrapped around a cylinder *Screws w/ threads that are closer together have a greater IMA
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Identify which class lever goes with each picture STAR Questions
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Complex (Compound) Machines Combination of 2or more simple machines to operate together
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device, or apparatus is a deliberately over-engineered machine that performs a very simple task in a very complex fashion, usually including a chain reaction. The expression is named after American cartoonist & inventor Rube Goldberg. FYI: Rube Goldberg machineRube Goldberg machine
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STAR Questions Wheel and axle Pulley Lever Inclined Plane Wedge Screw
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