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UCSD Physics 12
Energy Footprint
A Case Study
UCSD Physics 12
Spring 2013 2
Electricity meter
 Electricity meters read in kWh (kilowatt-hour)
 this is a unit of energy: power times time
 1 kWh is 1,000 W over 1 hr = 3,600 seconds
 or 1 W over 1000 hours, or 100 W over 10 hours
 thus 1 kWh = 3,600,000 J (= 860 kcal)
 My electricity bill indicates a cost of $0.13 per
kWh
 try getting 860 kcal of food for $0.13
 lesson: eat your electricityits cheap!
 tastes bad, though: burnt tongue smell/taste
UCSD Physics 12
Spring 2013 3
Measuring your electricity consumption
 All houses/apartments have
energy meters to monitor
electricity usage
 this is what the bill is based on
 Dials accumulate KWh of usage
 Disk turns at rate proportional to
power consumption
 Kh value is the number of Watt-
hours per turn (1 Wh = 3600 J)
 Example: one turn in 10 sec
(7.2 Wh)(3600 J/Wh)/(10 sec) = 2592
J/s  2.6 kW
 Takes 138.9 turns for 1 kWh
UCSD Physics 12
Spring 2013 4
Reading those tricky dials
 Lets say you want to read a utility electricity meter
 Be careful to note the direction of the numbers (usually
flips back and forth)
 Round down is the safe bet
 Note the third dial below looks like 5, but its really 4.9
(next digit is a nine)
 so looking at next dial helps you figure out rounding
 note second dial halfway between 0 and 1: next digit ~5
 This meter reads 5049.9
 the 9.9 reads between the lines in the last dial
UCSD Physics 12
Clicker question
 What does this meter read?
A. 11198.8
B. 11088.8
C. 11199
D. 11188.8
E. 22199
Spring 2013 5
UCSD Physics 12
Spring 2013 6
Measuring the wheel rate
 Recall that the Kh constant is Watt-hours per turn of the disk
 so power is Kh3600disk rate
 units are: (Watt-hour)(sec/hour)(turns/sec)
 On top of the rotating disk are tick marks with labels every 10
units.
 100 units around disk
 If disk is moving slowly, can measure half a rotation*
 example: from 30 to 80 or 70 to 20
 If disk is moving fast, can measure time for 5 or 10 rotations
 The the turns/sec could be, for example:
 0.5 turns / 132.0 sec  98 W for Kh = 7.2
 10 turns / 44.0 sec  5890 W for Kh = 7.2
 0.2 turns / 35.0 sec  148 W for Kh = 7.2
* careful here: disk rate can be highly non-uniform; best to measure full rotation
UCSD Physics 12
Digital Meters
 Digital meters more pervasive
lately
 Cycles through several displays
 one is odometer reading in kWh
 no tricky dials
 Disk is simulated by blocks
that appear/disappear
 each change constitutes 1.0 Wh
for my meter
 my meter has six disk states
 so full cycle is 6 Wh
Spring 2013 7
disk blocks
0
1
2
3
4
5
UCSD Physics 12
Spring 2013 8
Example day electricity profile
 Run microwave (1000 W) for 12 minutes total (0.2 hr)
 0.2 kWh
 Clothes washer (300 W) for 1 hour
 0.3 kWh
 Clothes dryer (5000 W) for 1 hour
 5 kWh
 Movie on TV/DVD (200 W) for 2 hours
 0.4 kWh
 Desktop computer (100 W) on all day
 2.4 kWh
 Refrigerator (average 75 W) on all day
 1.8 kWh
 Lights (total 400 W) for 5 hours
 2 kWh
 Total comes to 12.1 kWh: not too different from average usage
 costs about $1.50 at $0.13 per kWh
Q
UCSD Physics 12
Spring 2013 9
Natural Gas Meter
 Dials work just like electricity meter
 same round-down method
 Lowest dial usually indicates 1000 cf per full revolution
 cf means cubic foot, or ft3
 Thus each tick is one hundred cf (hcf)
 therefore numerical reading in hcf
 100 ft3 delivers 1.02 Therms of energy
 1 Therm is 100,000 Btu = 105,500,000 J = 29.3 kWh
 my gas bill indicates about $1 per Therm
 equivalent to $0.034 per kWh: cheaper than electricity
 My meter also has a 0.5 cf dial and a 2 cf dial
 which I have used to monitor slow usage
UCSD Physics 12
Spring 2013 10
Water meter
 Though not a measure of energy,
this can be important because one
thing we do with water is heat it
 Meters typically measure in cubic
feet
 1 ft3 = 7.48 gallons
 1 gallon is 8.33 lb, so 1 ft3 = 62.3 lb
 recall that heating 1 lb H2O 1F takes
1 Btu = 1055 J
 The meter at right reads 82.114 ft3
 the ones digit usually snaps into place
quickly so its not halfway between
numbers for very long
 the little triangle spins if water is
flowing
Q
UCSD Physics 12
Spring 2013 11
And finally, gasoline
 Gasoline energy content is:
 34.8 MJ/liter
 47 MJ/kg
 125,000 Btu/gallon = 132 MJ/gallon = 36.6 kWh/gallon
 At $4.00 per gallon, this is $0.11 per kWh
 slightly cheaper than electricity, more expensive than
natural gas
UCSD Physics 12
Spring 2013 12
Energy Profile
 Looking at my bills April 2006March 2007, I
saw that my household (2 people) used:
 3730 kWh of electricity in a year  10.3 kWh/day
 330 Therms of natural gas in a year  0.9 Therms/day
= 26 kWh/day
 10 gallons of gasoline every 2 weeks  26 kWh/day
 Total is 62 kWh/day = 2580 W
 or 1300 W per person
 13% of 10,000 W American average
 says most activity in commercial sector, not at home
UCSD Physics 12
Spring 2013 13
Something doesnt add up
 Something wasnt making sense
 0.5 Therms/day = 50,000 Btu/day during summer months
when the only natural gas we used was for hot water
 A typical 10-minute shower at 2 gallons per minute means
20 gallons or 166 lbs of water
 To heat 166 lbs water from 60 F to 120 F (60 F change)
requires 16660 = 10,000 Btu
 Averaging 1 shower/day, we should be using 5 times less
natural gas, or about 0.1 Therms/day
 Where is the 0.5 Therms coming from?!
Q
UCSD Physics 12
Spring 2013 14
Watching the dials
 I started watching the 2 cf/turn dial on my gas
meter
 no gas was being used (no furnace, no hot water)
 it was making about 0.72 turns per hour, so 1.44 cf/hr
 steady rate, hour after hour
 thats 34.6 cf/day, or 0.346 hcf/day = 0.35 Therms/day
 this is close to the missing amount!
 Where was that gas going?
UCSD Physics 12
Spring 2013 15
The Fix
 Shutting off gas to the furnace resulted in a much slower
dial progression
 rate was about 0.11 Therms/day
 this part must be the water heater pilot
 the rest (0.24 Therms/day) was the furnace pilot
 this means the (useless) furnace pilot matched the (useful) hot water
heater gas consumption!
 also, half the hot water heater gas (0.11 Therms/day) is the pilot
 The resultant cost for both pilots was
 (0.35 Therms/day)(30.6 days/month)($1.30/Therm)
 $14 per month
 save almost $10/month by turning off furnace pilot
UCSD Physics 12
Spring 2013 16
But Im not done measuring yet!
 How much does a shower take?
 10 minute shower: measured 2.75 ft3 = 20.57 gallons
via meter
 gas kicked on and used 15.3 ft3 = 0.156 Therms before
it stopped
 at rate of 0.5 cf/minute
 0.005 Therms/minute = 500 Btu/minute = 30,000 Btu/hr =
8800 W
 water heater says 34,000 BTUH on side
 Used 15,600 Btu for shower
 20.57 gallons = 171 lbs
 heating by 60 F requires 10,280 Btu at 100% efficiency
 so must be about 10280/15600 = 65% efficient
 actually less since shower used 20.57 gallons, but not all hot
UCSD Physics 12
Spring 2013 17
Average Americans
 830 kWh electricity per month per household
 about 300 kWh per person per month (10 kWh/day)
 61012 ft3 of natural gas use in residences per day
 480 kWh gas equivalent per month per person (16 kWh/day)
 0.5 gallons gasoline per day per person
 560 kWh per month equivalent (18 kWh/day)
 Total power is 1340 kWh/month (44 kWh/day) = 1820 W
 this is 18% of the average Americans total of 10,000 W
 so again, most is outside the home (out of sight, out of mind)
UCSD Physics 12
Spring 2013 18
How much better can we do?
 Starting in 2007, my wife and I challenged ourselves to
reduce our energy footprint
 never turned furnace/pilot back on
 low power electric blanket helps!
 shorter showers, with cutoff for soaping up
 line-dry clothes
 all bulbs compact fluorescent, some LED
 diligent about turning off unused lights
 bike/walk around neighborhood (and bus to work)
 install experimental (small) solar photovoltaic system (off-grid;
battery-based) to run TV & living room
 since expanded to 1kW peak system; fridge, TV, modem/wireless
UCSD Physics 12
Spring 2013 19
dashed line: started seriously cutting back
pilot light
Tracking home usage of electricity and natural gas since 2006
UCSD Physics 12
Spring 2013 20
trend-line for previous year total: keeps trucking down!
UCSD Physics 12
Spring 2013 21
Update: Livin the Low Life in S.D.
UCSD Physics 12
Update: Gas Use History
Spring 2013 22
UCSD Physics 12
Spring 2013 23
Big Reductions
 Most substantial savings was gas (no furnace)
 Immediately went from 0.84 Therms/day to 0.28 Therms/day
 equivalent to 25 kWh/day, now down to 8 kWh/day
 now at ~5 kWh/day
 now using a fifth of what we used to!
 Line-drying clothes had largest electricity impact
 some space-heater activity to compensate for no heat
 Immediately went from 10.5 kWh/day to 5.5 kWh/day
 now at <3 kWh/day
 now using a fourth of what we used to
 but this requires about three times the energy in natural gas due to the
inefficiency of generation, plus some transmission loss, so the real
post-reduction usage is more than twice that of natural gas
UCSD Physics 12
Spring 2013 24
Carbon Footprints
 Each gallon of gasoline contributes 20 lb CO2
 Each kWh of electricity from natural gas plant (at 33% net
efficiency) contributes 1.2 lbs CO2
 Each Therm of natural gas contributes 11.7 lbs CO2
 So my annual household CO2 footprint (2 people):
 4600 lbs + 3600 lbs from elec. plus N.G. before April 2007
 2400 lbs + 1200 lbs from elec. plus N.G. just after April 2007
 7130 lbs per year from gasoline (@ 10,000 miles per year)
 15,000 lbs from air travel (at 0.48 lbs/passenger-mile)
 See: http://www.earthlab.com/carbon-calculator.html
 also Google: carbon footprint calculator
UCSD Physics 12
Spring 2013 25
Lessons
 It is illuminating to assess your energy footprint
 how much do you get from which sources?
 how much would you have to replace without fossil
fuels?
 how can you cut down your own usage?
 Again we see that the bulk of energy expenditures
are not at home or in our cars
 but in the industry, agriculture, transportation,
commercial sectors.
UCSD Physics 12
Spring 2013 26
Announcements and Assignments
 Lots of Do the Math posts on this topic
 see Guide to Posts from menu bar; list at bottom of page
 38. Pilot Lights are Evil
 39. Home Heating for the Hardy
 41. The Phantoms Ive Killed
 46. My Neighbors Use Too Much Energy
 53. TED-Stravaganza
 Read Chapter 4 for next lecture
 HW #4 due Friday 5/03
 HW drop box outside my office (SERF 336) for early
turn-in
 Quiz 3 due by midnight tonight

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  • 1. UCSD Physics 12 Energy Footprint A Case Study
  • 2. UCSD Physics 12 Spring 2013 2 Electricity meter Electricity meters read in kWh (kilowatt-hour) this is a unit of energy: power times time 1 kWh is 1,000 W over 1 hr = 3,600 seconds or 1 W over 1000 hours, or 100 W over 10 hours thus 1 kWh = 3,600,000 J (= 860 kcal) My electricity bill indicates a cost of $0.13 per kWh try getting 860 kcal of food for $0.13 lesson: eat your electricityits cheap! tastes bad, though: burnt tongue smell/taste
  • 3. UCSD Physics 12 Spring 2013 3 Measuring your electricity consumption All houses/apartments have energy meters to monitor electricity usage this is what the bill is based on Dials accumulate KWh of usage Disk turns at rate proportional to power consumption Kh value is the number of Watt- hours per turn (1 Wh = 3600 J) Example: one turn in 10 sec (7.2 Wh)(3600 J/Wh)/(10 sec) = 2592 J/s 2.6 kW Takes 138.9 turns for 1 kWh
  • 4. UCSD Physics 12 Spring 2013 4 Reading those tricky dials Lets say you want to read a utility electricity meter Be careful to note the direction of the numbers (usually flips back and forth) Round down is the safe bet Note the third dial below looks like 5, but its really 4.9 (next digit is a nine) so looking at next dial helps you figure out rounding note second dial halfway between 0 and 1: next digit ~5 This meter reads 5049.9 the 9.9 reads between the lines in the last dial
  • 5. UCSD Physics 12 Clicker question What does this meter read? A. 11198.8 B. 11088.8 C. 11199 D. 11188.8 E. 22199 Spring 2013 5
  • 6. UCSD Physics 12 Spring 2013 6 Measuring the wheel rate Recall that the Kh constant is Watt-hours per turn of the disk so power is Kh3600disk rate units are: (Watt-hour)(sec/hour)(turns/sec) On top of the rotating disk are tick marks with labels every 10 units. 100 units around disk If disk is moving slowly, can measure half a rotation* example: from 30 to 80 or 70 to 20 If disk is moving fast, can measure time for 5 or 10 rotations The the turns/sec could be, for example: 0.5 turns / 132.0 sec 98 W for Kh = 7.2 10 turns / 44.0 sec 5890 W for Kh = 7.2 0.2 turns / 35.0 sec 148 W for Kh = 7.2 * careful here: disk rate can be highly non-uniform; best to measure full rotation
  • 7. UCSD Physics 12 Digital Meters Digital meters more pervasive lately Cycles through several displays one is odometer reading in kWh no tricky dials Disk is simulated by blocks that appear/disappear each change constitutes 1.0 Wh for my meter my meter has six disk states so full cycle is 6 Wh Spring 2013 7 disk blocks 0 1 2 3 4 5
  • 8. UCSD Physics 12 Spring 2013 8 Example day electricity profile Run microwave (1000 W) for 12 minutes total (0.2 hr) 0.2 kWh Clothes washer (300 W) for 1 hour 0.3 kWh Clothes dryer (5000 W) for 1 hour 5 kWh Movie on TV/DVD (200 W) for 2 hours 0.4 kWh Desktop computer (100 W) on all day 2.4 kWh Refrigerator (average 75 W) on all day 1.8 kWh Lights (total 400 W) for 5 hours 2 kWh Total comes to 12.1 kWh: not too different from average usage costs about $1.50 at $0.13 per kWh Q
  • 9. UCSD Physics 12 Spring 2013 9 Natural Gas Meter Dials work just like electricity meter same round-down method Lowest dial usually indicates 1000 cf per full revolution cf means cubic foot, or ft3 Thus each tick is one hundred cf (hcf) therefore numerical reading in hcf 100 ft3 delivers 1.02 Therms of energy 1 Therm is 100,000 Btu = 105,500,000 J = 29.3 kWh my gas bill indicates about $1 per Therm equivalent to $0.034 per kWh: cheaper than electricity My meter also has a 0.5 cf dial and a 2 cf dial which I have used to monitor slow usage
  • 10. UCSD Physics 12 Spring 2013 10 Water meter Though not a measure of energy, this can be important because one thing we do with water is heat it Meters typically measure in cubic feet 1 ft3 = 7.48 gallons 1 gallon is 8.33 lb, so 1 ft3 = 62.3 lb recall that heating 1 lb H2O 1F takes 1 Btu = 1055 J The meter at right reads 82.114 ft3 the ones digit usually snaps into place quickly so its not halfway between numbers for very long the little triangle spins if water is flowing Q
  • 11. UCSD Physics 12 Spring 2013 11 And finally, gasoline Gasoline energy content is: 34.8 MJ/liter 47 MJ/kg 125,000 Btu/gallon = 132 MJ/gallon = 36.6 kWh/gallon At $4.00 per gallon, this is $0.11 per kWh slightly cheaper than electricity, more expensive than natural gas
  • 12. UCSD Physics 12 Spring 2013 12 Energy Profile Looking at my bills April 2006March 2007, I saw that my household (2 people) used: 3730 kWh of electricity in a year 10.3 kWh/day 330 Therms of natural gas in a year 0.9 Therms/day = 26 kWh/day 10 gallons of gasoline every 2 weeks 26 kWh/day Total is 62 kWh/day = 2580 W or 1300 W per person 13% of 10,000 W American average says most activity in commercial sector, not at home
  • 13. UCSD Physics 12 Spring 2013 13 Something doesnt add up Something wasnt making sense 0.5 Therms/day = 50,000 Btu/day during summer months when the only natural gas we used was for hot water A typical 10-minute shower at 2 gallons per minute means 20 gallons or 166 lbs of water To heat 166 lbs water from 60 F to 120 F (60 F change) requires 16660 = 10,000 Btu Averaging 1 shower/day, we should be using 5 times less natural gas, or about 0.1 Therms/day Where is the 0.5 Therms coming from?! Q
  • 14. UCSD Physics 12 Spring 2013 14 Watching the dials I started watching the 2 cf/turn dial on my gas meter no gas was being used (no furnace, no hot water) it was making about 0.72 turns per hour, so 1.44 cf/hr steady rate, hour after hour thats 34.6 cf/day, or 0.346 hcf/day = 0.35 Therms/day this is close to the missing amount! Where was that gas going?
  • 15. UCSD Physics 12 Spring 2013 15 The Fix Shutting off gas to the furnace resulted in a much slower dial progression rate was about 0.11 Therms/day this part must be the water heater pilot the rest (0.24 Therms/day) was the furnace pilot this means the (useless) furnace pilot matched the (useful) hot water heater gas consumption! also, half the hot water heater gas (0.11 Therms/day) is the pilot The resultant cost for both pilots was (0.35 Therms/day)(30.6 days/month)($1.30/Therm) $14 per month save almost $10/month by turning off furnace pilot
  • 16. UCSD Physics 12 Spring 2013 16 But Im not done measuring yet! How much does a shower take? 10 minute shower: measured 2.75 ft3 = 20.57 gallons via meter gas kicked on and used 15.3 ft3 = 0.156 Therms before it stopped at rate of 0.5 cf/minute 0.005 Therms/minute = 500 Btu/minute = 30,000 Btu/hr = 8800 W water heater says 34,000 BTUH on side Used 15,600 Btu for shower 20.57 gallons = 171 lbs heating by 60 F requires 10,280 Btu at 100% efficiency so must be about 10280/15600 = 65% efficient actually less since shower used 20.57 gallons, but not all hot
  • 17. UCSD Physics 12 Spring 2013 17 Average Americans 830 kWh electricity per month per household about 300 kWh per person per month (10 kWh/day) 61012 ft3 of natural gas use in residences per day 480 kWh gas equivalent per month per person (16 kWh/day) 0.5 gallons gasoline per day per person 560 kWh per month equivalent (18 kWh/day) Total power is 1340 kWh/month (44 kWh/day) = 1820 W this is 18% of the average Americans total of 10,000 W so again, most is outside the home (out of sight, out of mind)
  • 18. UCSD Physics 12 Spring 2013 18 How much better can we do? Starting in 2007, my wife and I challenged ourselves to reduce our energy footprint never turned furnace/pilot back on low power electric blanket helps! shorter showers, with cutoff for soaping up line-dry clothes all bulbs compact fluorescent, some LED diligent about turning off unused lights bike/walk around neighborhood (and bus to work) install experimental (small) solar photovoltaic system (off-grid; battery-based) to run TV & living room since expanded to 1kW peak system; fridge, TV, modem/wireless
  • 19. UCSD Physics 12 Spring 2013 19 dashed line: started seriously cutting back pilot light Tracking home usage of electricity and natural gas since 2006
  • 20. UCSD Physics 12 Spring 2013 20 trend-line for previous year total: keeps trucking down!
  • 21. UCSD Physics 12 Spring 2013 21 Update: Livin the Low Life in S.D.
  • 22. UCSD Physics 12 Update: Gas Use History Spring 2013 22
  • 23. UCSD Physics 12 Spring 2013 23 Big Reductions Most substantial savings was gas (no furnace) Immediately went from 0.84 Therms/day to 0.28 Therms/day equivalent to 25 kWh/day, now down to 8 kWh/day now at ~5 kWh/day now using a fifth of what we used to! Line-drying clothes had largest electricity impact some space-heater activity to compensate for no heat Immediately went from 10.5 kWh/day to 5.5 kWh/day now at <3 kWh/day now using a fourth of what we used to but this requires about three times the energy in natural gas due to the inefficiency of generation, plus some transmission loss, so the real post-reduction usage is more than twice that of natural gas
  • 24. UCSD Physics 12 Spring 2013 24 Carbon Footprints Each gallon of gasoline contributes 20 lb CO2 Each kWh of electricity from natural gas plant (at 33% net efficiency) contributes 1.2 lbs CO2 Each Therm of natural gas contributes 11.7 lbs CO2 So my annual household CO2 footprint (2 people): 4600 lbs + 3600 lbs from elec. plus N.G. before April 2007 2400 lbs + 1200 lbs from elec. plus N.G. just after April 2007 7130 lbs per year from gasoline (@ 10,000 miles per year) 15,000 lbs from air travel (at 0.48 lbs/passenger-mile) See: http://www.earthlab.com/carbon-calculator.html also Google: carbon footprint calculator
  • 25. UCSD Physics 12 Spring 2013 25 Lessons It is illuminating to assess your energy footprint how much do you get from which sources? how much would you have to replace without fossil fuels? how can you cut down your own usage? Again we see that the bulk of energy expenditures are not at home or in our cars but in the industry, agriculture, transportation, commercial sectors.
  • 26. UCSD Physics 12 Spring 2013 26 Announcements and Assignments Lots of Do the Math posts on this topic see Guide to Posts from menu bar; list at bottom of page 38. Pilot Lights are Evil 39. Home Heating for the Hardy 41. The Phantoms Ive Killed 46. My Neighbors Use Too Much Energy 53. TED-Stravaganza Read Chapter 4 for next lecture HW #4 due Friday 5/03 HW drop box outside my office (SERF 336) for early turn-in Quiz 3 due by midnight tonight

Editor's Notes