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Ch 14. Work, Power, and Machines. Ch 14 WORK AND POWER. Work – transfer of energy through motion a. Force must be exerted through a distance. Work. d. F. b. Amount of Work depends on: 1. Amount of applied Force 2. Distance over which the force is applied. Work. d. F.
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Ch 14 Work, Power, and Machines
Ch 14 WORK AND POWER • Work – transfer of energy • through motion • a. Force must be exerted through a distance
Work d F • b. Amount of Work depends on: • 1. Amount of applied Force • 2. Distance over which the force is applied
Work d F • c. W=Fd (Force multiplied by distance) • d. Unit is the Joule (1J = 1Nm)
e. In order for work to be done: • 1. Something has to move • 2. Motion must be in the direction of the force
How much work is done when a car is pushed with 600 N of force for a distance of 50m?
How far will a ball roll if 17J of work was done to push it with 2 N of force?
Power – rate of doing work a. To increase Power: • 1. increase work done • 2. do work in less time
Work t P b. P=W/t • (Work divided by time) c. SI unit is Watt (1W=1J/s) d. common unit is horsepower (1hp=746W)
How much power is needed to do 40 Joules of work in 5 seconds?
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
Work Work Fd d t t F P P Reference table check
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?
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
Machines • Make work easier • Device that changes a force
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)
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!
Mechanical advantage • # of times the machine increases an input force • Actual (AMA) =output force( FR) input force (FE) • FR = resistance (output) force • FE = effort (input) force
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
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=
Ideal (IMA) = MA in absence of friction • IMA =input distance( dE) Output distance (dR) • dE = effort (input) distance • dR = resistance (output) distance • bc friction is always present, AMA is always less (<) than IMA
If x = 3 cm and y = 15 cm, what is the ideal mechanical advantage of the pliers? x y • 15cm / 3cm = 5
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
What is the MA? • 12 / 3=4 3 m 12 m
1 • What is the MA of the pulley? 2
Efficiency no machine can be 100% efficient, why not? work output Efficiency = ------------------------- X 100% work input
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%
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
Types of simple machines • Lever – rigid bar that is free to move around a fixed point
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
First class levers • Fulcrum located between the input force (effort) and output force (load)
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
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
2.Wheel and Axle • Variation of a lever • Consists of two disks (cylinders) each one with a different radius
3. Pulley • Variation of a lever • Consists of a rope that is different in size, direction, or both from that of the input force
3 types of pulleys 1. Fixed pulley = changes only the direction of the input force
2. Movable pulley = changes both direction and the size of the input force
4. Inclined Plane • Slanted surface along which a force moves an object to a different elevation
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
6. screw • Variation of inclined plane • Wrapped around a cylinder *Screws w/ threads that are closer together have a greater IMA
Identify which class lever goes with each picture STAR Questions
Complex (Compound) Machines • Combination of 2or more simple machines to operate together
FYI: Rube Goldberg machine • 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.
STAR Questions Lever Wheel and axle Pulley Inclined Plane Screw Wedge