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Chapter 14 Work, Power, & Machines
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Sec. 14.1 Work & Power
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What is work? Work is done when a force acts on an object in the direction the object moves Work (J)= Force (N) x distance (m) W = F x d SI unit: Joule Joule = Nm
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Work requires Motion If there is no motion…there is no work Some motion must be in the direction of the force Since there is no motion, there is no work
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What is Power? Power is the rate at which work is done. Doing work faster requires more power Power (w) = Work (J) / Time (s) P = W / t SI unit: watt Watt = J/s
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Horsepower 1 horsepower = 746 watts Based on the power output of a very strong horse
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Sec. 14.2 Work & Machines
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What is a Machine? A machine makes doing work easier. How? Change the size of the force Change distance over which the force acts Change the direction
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Increasing Force & Distance Work = Force x Distance Increasing the Force causes a decrease in distance Increasing Distance causes a decrease in force
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Work Input & Work Output Work Input = Input Force x Input distance W in = F in x d in Work Output = Output Force x Output distance W out = F out x d out Due to friction: W in > W out
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Ideal Machine Contains No Friction!!! W in = W out
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Sec. 14.3 Mechanical Advantage & Efficiency
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Mechanical Advantage The number of times the machine increases an input force 2 types of Mechanical Advantage AMA (Actual Mechanical Advantage) Measure actual forces in a machine IMA (Ideal Mechanical Advantage) Measure with out friction (in an ideal machine)
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Calculating AMA Actual Mechanical Advantage = output force input force AMA = F out / F in
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Calculating IMA Ideal Mechanical Advantage = Input distance Output distance IMA = d in / d out
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AMA versus IMA The AMA is always greater than the IMA because friction is present. Engineers try to design machines with low- friction materials & lubricants.
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Efficiency The percent of work input that becomes work output Efficiency = (W out / W in ) x 100% Due to friction: Efficiency is always less than 100%
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Sec. 14.4 Simple Machines
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6 Types of Simple Machines 1. Lever 2. Wheel & Axle 3. Inclined Plane 4. Wedge 5. Screw 6. Pulley
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Lever A rigid bar free to move around a fixed point (fulcrum) IMA = Input arm / output arm Input arm: distance between F in and fulcrum Output arm: distance between F out and fulcrum
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First Class Lever Fulcrum is located between the input force & output force Ex. Seesaw, scissors, tongs MA: can be: >1, <1 or =1
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Second Class Lever Output force is between the input force & fulcrum Ex. Wheelbarrow MA is >1
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Third Class Lever The input force is located between the fulcrum and output force Ex. Baseball bat, hockey stick, golf club MA is <1
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Wheel & Axle Consists of two disks or cylinders Each has a different radius Wheel: outer disk Axle: inner disk IMA = r wheel / r axle Gears are a modified wheel & axle
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Inclined Plane A slanted surface along which a force moves an object to a different height IMA = distance / change in height
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Wedge A v-shaped object whose sides are 2 inclined planes Thin wedge of a given length has a greater IMA then a thick wedge of the same length Examples: zipper, knife blades, door stop
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Screw An inclined plane wrapped around a cylinder The closer the threads, the greater the IMA
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Pulley A rope that fits into the groove in a wheel IMA = # of ropes supporting the load Pull down - don’t count Pull up - count Changes the direction of the force
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3 Types of Pulleys Fixed: wheel attached to a fixed location Movable: wheel attached to object Pulley System: combination of fixed & movable pulleys Fixed pulley Movable pulley
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Block & Tackle Pulley system containing both fixed and movable pulleys
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Compound Machines A combination of 2 or more simple machines Example: Honda Ad http://www.steelcitysfinest.com/HondaAccordAd.htm
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