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Unformatted text preview: ENGRI 1290 HW01
Due 09/13/2010 Problem # 1 We want to power a small town in Nevada using 10% efﬁcient solar cells. We suppose the daily average solar power
density is 23OW/m2. Every day, this town uses the amount of energy given below.
1. Transform the energy used by the town into J.
2. What is the power this town requires to function? 3. How much power density can be turned into electricity using
this type of panel? 4. What isthe minimum area of solar panels needed to power this
town? Problem # 1 (continued) The town uses 3OOMWh.
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bum 24““ — ’27;— _. [338x10 LW @ svlnmd '3 8 S50“ W &e C§§Q¢KC7 ezkog Problem # 2 We want to power a small coastal town in New Hampshire
using 40% efﬁcient wind turbines with an area given below. Every day, this town uses ISOMWh. We suppose all the energy
extracted by the turbine from the wind is turned into electricity.
The daily average wind velocity is Sm/s and its density is 1.2kg/m3.
1. Transform the energy used by the town into J.
2. What is the power this town requires to function? 3. How much power can be turned into electricity using this type of
wind turbine? 4. How many turbines are necessary to power this town (give an
integer number)? Problem # 2 (continued) The turbine area is 6,000m2. ® 559w“ ’7 lSOX\O€ W xgéoos : 5.1+ XiOuJ @ CK) w“ —; E'rcww wwrt T [S Q‘Cme. okuerg szu‘cl" ’ \
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@ NhH‘Eihes 3 hpwn : brkiﬂﬁs Problem # 3 Water ﬂows through a pipe with area 2m2 with a velocity
given below. The pipe is connected to another cylindrical pipe
with a 20 cm diameter. We suppose the water density is constant at 1,000kg/m3.
1. What is the crosssectional area of the smaller pipe?
2. What is mass ﬂow rate of water in the big pipe?
3. What is the volumetric ﬂow rate of water in the big pipe?
4 . Using ﬂow rate conservation, ﬁnd the water velocity in the small
pipe. Problem # 3 (continued) The water ﬂows at 3m/s. @A2ﬁRQ—2TZQL? : %\ILPZ><\O MAL Small @ ﬂu msbe’bw m‘l‘: Kn: ()ALQa/b‘f. \OOOxlx's @ Shae/e. two W33 (5 (OS? Edrween é’UJO e a ’ h . g "le
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