APES Math-2

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Wake Tech *

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2320

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Mathematics

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Apr 3, 2024

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pdf

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Uploaded by MinisterMinkMaster172

APES Math Use the following conversion factors. Answer using dimensional analysis. You MUST show your work. 1 cal = 4.184 J 1 C = 1000 cal 1 Btu = 1055 J 1 kWh = 3,600,000 J 1. 27 J = ___ _6.45_ ______ cal 27/4.184= 6.45 2. 27 J = ___ _0.00645__ _____ C 6.45cal/1000C= 0.00645 3. 950 cal = ___ 3974.8_ _____ J 950 x 4.184= 3974.8 a. 125 kW = ___ 125,000_ ______ w 125 x 1000= 125,000 4. 1376 bacon strips = ___ _4.74_ _______ pigs (290 bacon strips = 1 pig) [Those numbers are completely fictious…probably] 1376/ 290= 4.74 5. 84 J = __ __0.079_ ________ Btu 84/1055= 0.079 6. 420 Btu = ___ 443,100_ _________ J 420 x 1055= 443,100 7. 55 cal = ___ __0.23_ ________ kJ 55 x 4.184= 230.12/1000 = 0.23 8. 60 w = __ ___ 0.06 __________ kW 60/1000= 0.06 9. 230 Btu = _____ 57994_ ______ cal 230 x 1055j= 242,650 j 242,650/ 4.184= 57994
10. 940 kcal = ___ _3.727_ ________ Btu 11. 80 km/h = _______ 3727.7_ ____mph 12. 25 mph = __ 0.00694__ _________ m/s 25 x 13. 600 kW = _____ 3.6m_ _______ J = _________________ kJ 14. 120,500 kW = ____ _120.5 ________ MW 15. How many miles will light travel in one year? (Light travels at a speed of ~300,000,000 m/s.) 300,000,000 m/s = _ 5.88 trillion _ miles 16. If the closest star to Earth (other than our Sun) is 4.2 light years away, how many miles from Earth is that star? 2.45 trillion miles Energy = power x -me power = Energy / -me Power units = wa6s Energy Units = kWh kWh= wa6 x -me 17. A 615-watt refrigerator runs 24 hours/day. Calculate the energy usage. Energy = watts x time Energy = 615 x 24= 7380kwH 18. What is the cost to run the refrigerator in problem 18 for one year if the cost of electricity is 8 cents per kWh. cost- 8 cents per kWh
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