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Work, Power, &Work, Power, &
Simple MachinesSimple Machines
SectionsSections
14.1 – 14.414.1 – 14.4
What it means to do workWhat it means to do work
 WorkWork – force acting over a distance to– force acting over a distance to
move an objectmove an object
 2 key points for work to be done2 key points for work to be done
 An object has to moveAn object has to move
 The object must move in the direction ofThe object must move in the direction of
the applied forcethe applied force
WorkWork
 Work = Force x DistanceWork = Force x Distance
 W = F x DW = F x D
 UnitsUnits
 Force = Newtons (kg m/sForce = Newtons (kg m/s22
) - N) - N
 Distance = meters – mDistance = meters – m
 Work = joules – J (N m)Work = joules – J (N m)
 JouleJoule – unit of work and energy; 1– unit of work and energy; 1
newton-meternewton-meter
WorkWork
 Example:Example:
 If a weight lifter lifts a 800 N barbell aIf a weight lifter lifts a 800 N barbell a
distance of 2.5 m what is the work done?distance of 2.5 m what is the work done?
 W = F x DW = F x D
 800N x 2.5m800N x 2.5m
 W = 2,000 JW = 2,000 J
PowerPower
Section 14.2Section 14.2
PowerPower
 PowerPower – the rate at which work is done,– the rate at which work is done,
or the amount of work per unit of timeor the amount of work per unit of time
 Power = work/time p = w/tPower = work/time p = w/t
 Power =Power = force x distanceforce x distance
timetime
PowerPower
 Unit for power is called aUnit for power is called a watt (W)watt (W)
 Watt is a joule/secWatt is a joule/sec
 Ex: a 40 watt light bulb does work at a rateEx: a 40 watt light bulb does work at a rate
of 40 J/sof 40 J/s
 Large quantities of power are measured inLarge quantities of power are measured in
kilowatts (kW)kilowatts (kW)
 Horsepower (hp)Horsepower (hp) – used to rate electric– used to rate electric
motors and gas enginesmotors and gas engines
 1 hp = 745.56 watts (746 watts)1 hp = 745.56 watts (746 watts)
Simple andSimple and
CompoundCompound
MachinesMachines
SectionsSections
14.3-14.414.3-14.4
Simple MachinesSimple Machines
 Inclined planeInclined plane – a type of simple machine– a type of simple machine
that has a flat, slanted surface with nothat has a flat, slanted surface with no
moving partsmoving parts
 The less slanted the surface, the longer theThe less slanted the surface, the longer the
distance over which the effort force is applieddistance over which the effort force is applied
 IMA =IMA = effort distanceeffort distance == length of slopelength of slope == ll
resistance dist. height of slope hresistance dist. height of slope h
Simple MachinesSimple Machines
 WedgeWedge – an inclined plane that moves– an inclined plane that moves
 The greater the distance the wedge moves,The greater the distance the wedge moves,
the greater the force is on an objectthe greater the force is on an object
 Calculating IMA of a wedge is the sameCalculating IMA of a wedge is the same
as an inclined plane (except use widthas an inclined plane (except use width
instead of height)instead of height)
Simple MachinesSimple Machines
 ScrewScrew – an inclined plane wrapped– an inclined plane wrapped
around a cylinder to form a spiralaround a cylinder to form a spiral
 Tight threads = longer distance over whichTight threads = longer distance over which
effort is exerted = easier to turneffort is exerted = easier to turn
 Spaced threads = shorter distance overSpaced threads = shorter distance over
which force is exerted = harder to turnwhich force is exerted = harder to turn
Simple MachinesSimple Machines
 LeverLever – a rigid bar that is free to pivot or– a rigid bar that is free to pivot or
turn about a fixed pointturn about a fixed point
 FulcrumFulcrum – the fixed point– the fixed point
 Effort armEffort arm – the part of the lever where– the part of the lever where
the effort force is appliedthe effort force is applied
 Resistance armResistance arm – the part of the lever– the part of the lever
that exerts the resistance forcethat exerts the resistance force
LeversLevers
 11stst
class lever R Eclass lever R E
 Ex: scissorsEx: scissors
 22ndnd
class lever R Eclass lever R E
 Ex: wheelbarrowEx: wheelbarrow
 33rdrd
class lever E Rclass lever E R
 Ex: arm swingingEx: arm swinging
a hammera hammer
LeversLevers
 IMA =IMA = length of effort arm___length of effort arm___ = _= _Le_Le_
length of resistance arm Lrlength of resistance arm Lr
Ex: A worker uses an iron bar to lift aEx: A worker uses an iron bar to lift a
manhole cover weighing 65 N. The effortmanhole cover weighing 65 N. The effort
arm of the lever is 60 cm long. What isarm of the lever is 60 cm long. What is
the IMA of the bar?the IMA of the bar?
IMA =IMA = 60cm60cm = 6= 6
10cm10cm
Simple MachinesSimple Machines
 PulleyPulley – rope, chain, or belt– rope, chain, or belt
wrapped around a groovedwrapped around a grooved
wheelwheel
 AA fixed pulleyfixed pulley is attached tois attached to
something that doesn’t movesomething that doesn’t move
(ceiling, wall, etc.)(ceiling, wall, etc.)
 The IMA of a fixed pulley is 1The IMA of a fixed pulley is 1
 AA movable pulleymovable pulley movesmoves
 The IMA of a movable pulley is 2The IMA of a movable pulley is 2
PulleysPulleys
 Block and tackleBlock and tackle
 IMA can be multiplied by counting everyIMA can be multiplied by counting every
rope supplying an upward force on therope supplying an upward force on the
resistanceresistance
Simple MachinesSimple Machines
 Wheel and axleWheel and axle – a simple machine– a simple machine
consisting of two wheels of differentconsisting of two wheels of different
sizes that rotate togethersizes that rotate together
 IMA =IMA = radius of wheelradius of wheel == RwRw
radius of axle Raradius of axle Ra
MachinesMachines
 Compound machineCompound machine – a combination of– a combination of
two or more simple machinestwo or more simple machines
Image CreditsImage Credits
 http://sustainabledesignupdate.com/wp-content/uploads/2007/01/light-bulb-glowing-filament-ahd.http://sustainabledesignupdate.com/wp-content/uploads/2007/01/light-bulb-glowing-filament-ahd.
jpgjpg
 http://session.masteringphysics.com/problemAsset/1010976/24/MLD_2l_2_v2_2_a.jpghttp://session.masteringphysics.com/problemAsset/1010976/24/MLD_2l_2_v2_2_a.jpg
 http://www.simplemachine.com/media/home_photos/axe.jpghttp://www.simplemachine.com/media/home_photos/axe.jpg
 http://kmoddl.library.cornell.edu/stillImages/Clark/small/003.http://kmoddl.library.cornell.edu/stillImages/Clark/small/003.jpgjpg
 http://www.clipartguide.com/_named_clipart_images/0060-0807-2514-4457_Standard_Screw_cliphttp://www.clipartguide.com/_named_clipart_images/0060-0807-2514-4457_Standard_Screw_clip
 http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/imgmech/screw.gifhttp://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/imgmech/screw.gif
 http://www.armhammer.ca/images/Arm_and_Hammer_Logo.jpghttp://www.armhammer.ca/images/Arm_and_Hammer_Logo.jpg
 http://www.freepatentsonline.com/6595566-0-large.jpghttp://www.freepatentsonline.com/6595566-0-large.jpg
 http://facstaff.gpc.edu/~pgore/PhysicalScience/images/moving-pulley.jpghttp://facstaff.gpc.edu/~pgore/PhysicalScience/images/moving-pulley.jpg
 http://media-2.web.britannica.com/eb-media/09/6709-004-AD9F2874.gifhttp://media-2.web.britannica.com/eb-media/09/6709-004-AD9F2874.gif
 http://www.bayridgebikes.com/images/Anthem-Advanced-Blue-White.jpghttp://www.bayridgebikes.com/images/Anthem-Advanced-Blue-White.jpg
 http://www.allmachines.net/photos/Wheel-axle.gifhttp://www.allmachines.net/photos/Wheel-axle.gif
 http://upload.wikimedia.org/wikipedia/commons/b/ba/2006-BMW-325Xi.jpghttp://upload.wikimedia.org/wikipedia/commons/b/ba/2006-BMW-325Xi.jpg
 http://www.diytools.co.uk/diy/Images/DB_Detail/_103140__198948__.jpghttp://www.diytools.co.uk/diy/Images/DB_Detail/_103140__198948__.jpg

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Work, Power, & Simple, Machines

  • 1. Work, Power, &Work, Power, & Simple MachinesSimple Machines SectionsSections 14.1 – 14.414.1 – 14.4
  • 2. What it means to do workWhat it means to do work  WorkWork – force acting over a distance to– force acting over a distance to move an objectmove an object  2 key points for work to be done2 key points for work to be done  An object has to moveAn object has to move  The object must move in the direction ofThe object must move in the direction of the applied forcethe applied force
  • 3. WorkWork  Work = Force x DistanceWork = Force x Distance  W = F x DW = F x D  UnitsUnits  Force = Newtons (kg m/sForce = Newtons (kg m/s22 ) - N) - N  Distance = meters – mDistance = meters – m  Work = joules – J (N m)Work = joules – J (N m)  JouleJoule – unit of work and energy; 1– unit of work and energy; 1 newton-meternewton-meter
  • 4. WorkWork  Example:Example:  If a weight lifter lifts a 800 N barbell aIf a weight lifter lifts a 800 N barbell a distance of 2.5 m what is the work done?distance of 2.5 m what is the work done?  W = F x DW = F x D  800N x 2.5m800N x 2.5m  W = 2,000 JW = 2,000 J
  • 6. PowerPower  PowerPower – the rate at which work is done,– the rate at which work is done, or the amount of work per unit of timeor the amount of work per unit of time  Power = work/time p = w/tPower = work/time p = w/t  Power =Power = force x distanceforce x distance timetime
  • 7. PowerPower  Unit for power is called aUnit for power is called a watt (W)watt (W)  Watt is a joule/secWatt is a joule/sec  Ex: a 40 watt light bulb does work at a rateEx: a 40 watt light bulb does work at a rate of 40 J/sof 40 J/s  Large quantities of power are measured inLarge quantities of power are measured in kilowatts (kW)kilowatts (kW)  Horsepower (hp)Horsepower (hp) – used to rate electric– used to rate electric motors and gas enginesmotors and gas engines  1 hp = 745.56 watts (746 watts)1 hp = 745.56 watts (746 watts)
  • 9. Simple MachinesSimple Machines  Inclined planeInclined plane – a type of simple machine– a type of simple machine that has a flat, slanted surface with nothat has a flat, slanted surface with no moving partsmoving parts  The less slanted the surface, the longer theThe less slanted the surface, the longer the distance over which the effort force is applieddistance over which the effort force is applied  IMA =IMA = effort distanceeffort distance == length of slopelength of slope == ll resistance dist. height of slope hresistance dist. height of slope h
  • 10. Simple MachinesSimple Machines  WedgeWedge – an inclined plane that moves– an inclined plane that moves  The greater the distance the wedge moves,The greater the distance the wedge moves, the greater the force is on an objectthe greater the force is on an object  Calculating IMA of a wedge is the sameCalculating IMA of a wedge is the same as an inclined plane (except use widthas an inclined plane (except use width instead of height)instead of height)
  • 11. Simple MachinesSimple Machines  ScrewScrew – an inclined plane wrapped– an inclined plane wrapped around a cylinder to form a spiralaround a cylinder to form a spiral  Tight threads = longer distance over whichTight threads = longer distance over which effort is exerted = easier to turneffort is exerted = easier to turn  Spaced threads = shorter distance overSpaced threads = shorter distance over which force is exerted = harder to turnwhich force is exerted = harder to turn
  • 12. Simple MachinesSimple Machines  LeverLever – a rigid bar that is free to pivot or– a rigid bar that is free to pivot or turn about a fixed pointturn about a fixed point  FulcrumFulcrum – the fixed point– the fixed point  Effort armEffort arm – the part of the lever where– the part of the lever where the effort force is appliedthe effort force is applied  Resistance armResistance arm – the part of the lever– the part of the lever that exerts the resistance forcethat exerts the resistance force
  • 13. LeversLevers  11stst class lever R Eclass lever R E  Ex: scissorsEx: scissors  22ndnd class lever R Eclass lever R E  Ex: wheelbarrowEx: wheelbarrow  33rdrd class lever E Rclass lever E R  Ex: arm swingingEx: arm swinging a hammera hammer
  • 14. LeversLevers  IMA =IMA = length of effort arm___length of effort arm___ = _= _Le_Le_ length of resistance arm Lrlength of resistance arm Lr Ex: A worker uses an iron bar to lift aEx: A worker uses an iron bar to lift a manhole cover weighing 65 N. The effortmanhole cover weighing 65 N. The effort arm of the lever is 60 cm long. What isarm of the lever is 60 cm long. What is the IMA of the bar?the IMA of the bar? IMA =IMA = 60cm60cm = 6= 6 10cm10cm
  • 15. Simple MachinesSimple Machines  PulleyPulley – rope, chain, or belt– rope, chain, or belt wrapped around a groovedwrapped around a grooved wheelwheel  AA fixed pulleyfixed pulley is attached tois attached to something that doesn’t movesomething that doesn’t move (ceiling, wall, etc.)(ceiling, wall, etc.)  The IMA of a fixed pulley is 1The IMA of a fixed pulley is 1  AA movable pulleymovable pulley movesmoves  The IMA of a movable pulley is 2The IMA of a movable pulley is 2
  • 16. PulleysPulleys  Block and tackleBlock and tackle  IMA can be multiplied by counting everyIMA can be multiplied by counting every rope supplying an upward force on therope supplying an upward force on the resistanceresistance
  • 17. Simple MachinesSimple Machines  Wheel and axleWheel and axle – a simple machine– a simple machine consisting of two wheels of differentconsisting of two wheels of different sizes that rotate togethersizes that rotate together  IMA =IMA = radius of wheelradius of wheel == RwRw radius of axle Raradius of axle Ra
  • 18. MachinesMachines  Compound machineCompound machine – a combination of– a combination of two or more simple machinestwo or more simple machines
  • 19. Image CreditsImage Credits  http://sustainabledesignupdate.com/wp-content/uploads/2007/01/light-bulb-glowing-filament-ahd.http://sustainabledesignupdate.com/wp-content/uploads/2007/01/light-bulb-glowing-filament-ahd. jpgjpg  http://session.masteringphysics.com/problemAsset/1010976/24/MLD_2l_2_v2_2_a.jpghttp://session.masteringphysics.com/problemAsset/1010976/24/MLD_2l_2_v2_2_a.jpg  http://www.simplemachine.com/media/home_photos/axe.jpghttp://www.simplemachine.com/media/home_photos/axe.jpg  http://kmoddl.library.cornell.edu/stillImages/Clark/small/003.http://kmoddl.library.cornell.edu/stillImages/Clark/small/003.jpgjpg  http://www.clipartguide.com/_named_clipart_images/0060-0807-2514-4457_Standard_Screw_cliphttp://www.clipartguide.com/_named_clipart_images/0060-0807-2514-4457_Standard_Screw_clip  http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/imgmech/screw.gifhttp://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/imgmech/screw.gif  http://www.armhammer.ca/images/Arm_and_Hammer_Logo.jpghttp://www.armhammer.ca/images/Arm_and_Hammer_Logo.jpg  http://www.freepatentsonline.com/6595566-0-large.jpghttp://www.freepatentsonline.com/6595566-0-large.jpg  http://facstaff.gpc.edu/~pgore/PhysicalScience/images/moving-pulley.jpghttp://facstaff.gpc.edu/~pgore/PhysicalScience/images/moving-pulley.jpg  http://media-2.web.britannica.com/eb-media/09/6709-004-AD9F2874.gifhttp://media-2.web.britannica.com/eb-media/09/6709-004-AD9F2874.gif  http://www.bayridgebikes.com/images/Anthem-Advanced-Blue-White.jpghttp://www.bayridgebikes.com/images/Anthem-Advanced-Blue-White.jpg  http://www.allmachines.net/photos/Wheel-axle.gifhttp://www.allmachines.net/photos/Wheel-axle.gif  http://upload.wikimedia.org/wikipedia/commons/b/ba/2006-BMW-325Xi.jpghttp://upload.wikimedia.org/wikipedia/commons/b/ba/2006-BMW-325Xi.jpg  http://www.diytools.co.uk/diy/Images/DB_Detail/_103140__198948__.jpghttp://www.diytools.co.uk/diy/Images/DB_Detail/_103140__198948__.jpg