Are You Ready For Some Math! · hours per day, everyday for one year. How many kJ is this? 3600 sec...

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ENERGY MATH REVIEW Are You Ready For Some Math! Efficiency = Energy Out Energy In Power = Energy Time Energy = Power x Time Energy Joules (J) kilocalories (kcal) Calories (Cal) British Thermal Units (Btus) Kilowatt -hour (kWh) therm Power Watt (W) Kilowatt (kW) Horsepower (hp) 1 Watt = 1 J/s Written as a decimal or percent! Showing Your Work! 860 kcal 1 kWh 600 kWh/yr x With Units!! The easiest way to show your work with units is to use dimensional analysis. A single-door, manual defrost refrigerator uses 600 kWh/year. How many kcal/year does it use if 1 kWh = 860 kcal? = 516, 000 kcal/yr Suppose your electric lights use 400 W per hour, an average of 4 hours per day, everyday for one year. How many kJ is this? 3600 sec 1 hr 400 J/s x x 4 hrs 1 day x 365 day 1 year x 1 kJ 1000 J = 2.1 x 10 6 kJ Scientific Notation Energy problems involve big numbers. To make the math more manageable, it is helpful to write things as scientific notation. Rewrite a number as M x 10 n 1 < M < 10 n is any real number When the n is a negative, the number is small. When the n is a positive, the number is large. 300 000 000 m/s 3 x 10 8 m/s 0.000 000 000 000 000 000 000 000 00167 kg 1.67 x 10 -27 kg

Transcript of Are You Ready For Some Math! · hours per day, everyday for one year. How many kJ is this? 3600 sec...

Page 1: Are You Ready For Some Math! · hours per day, everyday for one year. How many kJ is this? 3600 sec 1 hr 400 J/s x x 4 hrs 1 day x 365 day 1 year x 1 kJ 1000 J = 2.1 x 106 kJ Scientific

ENERGY MATH REVIEW

Are You Ready For Some Math!

Efficiency = Energy OutEnergy In

Power = EnergyTime

Energy = Power x Time

EnergyJoules (J)kilocalories (kcal)Calories (Cal)British Thermal Units (Btus)Kilowatt-hour (kWh)therm

PowerWatt (W)Kilowatt (kW)Horsepower (hp)

1 Watt = 1 J/s

Written as a decimal or percent!

Showing Your Work!

860 kcal1 kWh

600 kWh/yr x

With Units!!

The easiest way to show your work with units is to use dimensional analysis.

A single-door, manual defrost refrigerator uses 600 kWh/year. How many kcal/year does it use if 1 kWh = 860 kcal?

= 516, 000 kcal/yr

Suppose your electric lights use 400 W per hour, an average of 4 hours per day, everyday for one year. How many kJ is this?

3600 sec1 hr

400 J/s x x4 hrs1 day

x365 day1 year

x1 kJ

1000 J= 2.1 x 106 kJ

Scientific NotationEnergy problems involve big numbers.

To make the math more manageable, it is helpful to write things as scientific notation.

Rewrite a number as M x 10n

1 < M < 10n is any real number

When the n is a negative, the number is small.When the n is a positive, the number is large.

300 000 000 m/s 3 x 108 m/s

0.000 000 000 000 000 000 000 000 00167 kg1.67 x 10-27 kg

Page 2: Are You Ready For Some Math! · hours per day, everyday for one year. How many kJ is this? 3600 sec 1 hr 400 J/s x x 4 hrs 1 day x 365 day 1 year x 1 kJ 1000 J = 2.1 x 106 kJ Scientific

Scientific NotationWhen you add and subtract with scientific notation, you need the power of ten to be the same.

Then you just add and subtract the M.

4.5 x 104 1.75 x 104+ = (4.5 + 1.75) x 104 = 6.25 x 104

2.4 x 106 5.2 x 107+ = 2.4 x 106 52 x 106+ = 54.4 x 106

= 5.44 x 107

6.2 x 104 3.1 x 103- = ?

5.89 x 104

Scientific NotationWhen you multiply and divide with scientific notation, you multiply or divide the Ms.

Then you add the exponents if you are multiplying.Then you subtract the exponents if you are dividing.

5.1 x 103 x 2 x 106 = 10.2 x 109 = 1.02 x 1010

= 3.5 x 1047 x 108

2 x 104

Sometimes we use prefixes to mean scientific notation.Kilo = x 103

Mega = x 106

Giga = x 109

It’s a Skill so Let’s Practice!


Experiment: KJ

Experiment: KJ

kj - gov.bc.ca

kj - gov.bc.ca

KJ - apps.dtic.mil

KJ - apps.dtic.mil

tiltup_code2003 kj

tiltup_code2003 kj

an important step toward a healthier river · 2019-01-24 · Mt Vernon Valhalla White Plains Kensico Reservoir 182nd St. Dam kj kj kj kj kj kj kj kj kj kjk kj kj kj kj kjkj kj kj

an important step toward a healthier river · 2019-01-24 · Mt Vernon Valhalla White Plains Kensico Reservoir 182nd St. Dam kj kj kj kj kj kj kj kj kj kjk kj kj kj kj kjkj kj kj

SRWMD SJRWMD SWFWMD SFWMD - Python Challenge · !kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!!kjkj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj L-5/STA-3/4 Discharge Canal

SRWMD SJRWMD SWFWMD SFWMD - Python Challenge · !kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!!kjkj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj!kj L-5/STA-3/4 Discharge Canal

An Examination of U.S. Postal Service Office Locations and ... · kjkj kj kj kj kj kjkjkjk kj kj kjkjkj kj kjkj kj kjkj kj kj kj kj kj kj kj kj kj kj kj kj kj kj kjkjkjkj kj kjkjkjkj

An Examination of U.S. Postal Service Office Locations and ... · kjkj kj kj kj kj kjkjkjk kj kj kjkjkj kj kjkj kj kjkj kj kj kj kj kj kj kj kj kj kj kj kj kj kj kjkjkjkj kj kjkjkjkj

Kj Spreads

Kj Spreads

BE -- Template (E) - itu.int€¦ · Web viewSaisie 11.9/KJ Corr. 1ère interne + MEP 12.9/KJ Corr. 1ère client 16.9/KJ Corr. BAT 17.9/KJ

BE -- Template (E) - itu.int€¦ · Web viewSaisie 11.9/KJ Corr. 1ère interne + MEP 12.9/KJ Corr. 1ère client 16.9/KJ Corr. BAT 17.9/KJ

Photosynthesis. The Sun - Ultimate Energy 1.5 x 10 22 kJ falls on the earth each day 1% is absorbed by photosynthetic organisms and transformed into chemical.

Photosynthesis. The Sun - Ultimate Energy 1.5 x 10 22 kJ falls on the earth each day 1% is absorbed by photosynthetic organisms and transformed into chemical.

Appendix A DETAILED MAPS OF PROPOSED ROUTE · kjkjkjkjkj kjkjkjkjkjkjkjkj kjkjkjkjkjkj kjkjkjkj kjkj kjkjkjkjkj kjkjkjkj kj kj kjkjkjkj kj kj kj kj kj kj kjkj kj kj kjkj kj kj kj

Appendix A DETAILED MAPS OF PROPOSED ROUTE · kjkjkjkjkj kjkjkjkjkjkjkjkj kjkjkjkjkjkj kjkjkjkj kjkj kjkjkjkjkj kjkjkjkj kj kj kjkjkjkj kj kj kj kj kj kj kjkj kj kj kjkj kj kj kj

[KJ - 2010]

[KJ - 2010]

An Examination of U.S. Postal Service Office Locations and ... · kj kj kjkjkjkkjkj kj kj kj kjkjkj kj kjkj kj kjkjkkjkjkjkjkkjkjkjkjkj kj kj kj kj kj kjkj kj kj kj kj kj kj kjkjkjkkjkj

An Examination of U.S. Postal Service Office Locations and ... · kj kj kjkjkjkkjkj kj kj kj kjkjkj kj kjkj kj kjkjkkjkjkjkjkkjkjkjkjkj kj kj kj kj kj kjkj kj kj kj kj kj kj kjkjkjkkjkj

To Metzer lGr enbelt Rd LEGEND kjbloximages.chicago2.vip.townnews.com/iswne.org/content/tncms/assets/v3/... · kj kj kj kj kj kj kj kj kj kj kj kj kj Æa [¶ [¶ [¶ [¶ [¶ Campus

To Metzer lGr enbelt Rd LEGEND kjbloximages.chicago2.vip.townnews.com/iswne.org/content/tncms/assets/v3/... · kj kj kj kj kj kj kj kj kj kj kj kj kj Æa [¶ [¶ [¶ [¶ [¶ Campus

Connect Kj

Connect Kj

KJ-1590 KJ-2200 KJ-3000 - TOOLS · Connect the hose reel connection hose (KJ-3000) or the 1/8” hose (KJ-2200 and KJ-1590) to the foot valve connection marked out. (note: with the

KJ-1590 KJ-2200 KJ-3000 - TOOLS · Connect the hose reel connection hose (KJ-3000) or the 1/8” hose (KJ-2200 and KJ-1590) to the foot valve connection marked out. (note: with the

kj Draft - Urban Natural Resources Institute · kj kj kj GF kj k kj kjkj kj kj kj kj kj kj kj kjkjGF kGF GF kjkjkj kj kjkj kj kkj kj kj kjkj kj kj kj kj kjkj kjkj kjkj kj kjk kjk

kj Draft - Urban Natural Resources Institute · kj kj kj GF kj k kj kjkj kj kj kj kj kj kj kj kjkjGF kGF GF kjkjkj kj kjkj kj kkj kj kj kjkj kj kj kj kj kjkj kjkj kjkj kj kjk kjk

MonsterRed BullBoosterRockstarBurn Valor energético:203 KJ /48 Kcal192 KJ /45 Kcal186 KJ /44 Kcal251 KJ /59’1 Kcal257 KJ /60 Kcal Grasas:0 g

MonsterRed BullBoosterRockstarBurn Valor energético:203 KJ /48 Kcal192 KJ /45 Kcal186 KJ /44 Kcal251 KJ /59’1 Kcal257 KJ /60 Kcal Grasas:0 g

Kj 00004724015

Kj 00004724015

Kj(X), Kj(X)| N(FIH~-J(X,math.stanford.edu/~conrad/BSDseminar/refs/BeilinsonConj.pdf · 2015-09-26 · 72. G. Wilson, "The modified Lax and two-dimensional Toda lattice equations

Kj(X), Kj(X)| N(FIH~-J(X,math.stanford.edu/~conrad/BSDseminar/refs/BeilinsonConj.pdf · 2015-09-26 · 72. G. Wilson, "The modified Lax and two-dimensional Toda lattice equations