Question

Matlab

Assignment 8 Problem 1 (8 points) wind turbine at your house to reduce your electricity bills. thinking about installing You are a. You found the equation to calculate the electrical power output and measured wind speed at your house. Pelect = npAv3 where Pelect is the electrical power output from the wind turbine [W] nis the efficiency (0.22) p is the air density [1.16 kg/m'] [m] (blade diameter is 5.0 m) A is the blade swept area v is the wind speed [m/s] (varies throughout the day, listed in the table below) More detailed descriptions textbook on page 278. can be found in our Wind Speed [m/s Time Period 12 am-7 am 2.1 5.5 7 am-9 am 9 am- 1 pm 4.0 1 pm-3 pm 3 pm-6 pm 6 pm-9 pm 3.2 3.8 4.7 3.4 9 pm- 12 am Caleulate the Pelect (electrical power output) for each time period and present it in a table. Also calculate the electrical power output for an entire month (assume a 30-day month)

Answer 1

Soln Arccordlig to the eleetrica questen Pouoer outut Pelect where Pelect 's the eleetrio pouer output trom thu oind furbme eticienuy O22 ki londensity I66 Blade suoept A 2 amea Blade diameter 5.0 m CD) 2 So Area rwept By bladler - 2 22 2 5 22 X 4 3.14 6.25 A 19.63 Now Peleet

0f n A weget putting the voln On Pelest 3 0. 22 x 1.16 x 19.63 X V Pelaet S.01 Xu W Now for time period 12 am Jam VZ 2. 5.01x(2.1)3 Pelect 5.01 X 9. 26 Peleut 46.40 T Am JAm (.5) Plest 833.54 w L pm 4-.0 /au 7 (1.0j 5.01 X Pelet Petet 30.6y W

Pm 3 pm 2. 2 S.01 3.2 Peleut 64.17 W for 3 pm 6pmM 8 msar Petert 5.01.8) 3 74.91W 111) 4.7 mIer Pelert 5.01 x (4.7) Peteut 520.15 W 3.4 msu gpm-12 Am Pelet 5.어x (2.4 Peteut = 196.91 w

Wmd peal (m s) Time feriod feleet (W) 12 Am-7em 2 .1 4-6.y0 Luy L -9Am 5-5 833.54 H.O GAm 320.64 3.2 3pm 1 64.17 1 pm 6 Ppm 3.9 74.91 Sao. 15 6 pm 47 3.4 j96.91 12 Bm So total Power output Aer felect 46.40 t 813SY 220.6y+161 1 +271.1+50.1S t176.71 Pelect 35672x10 w 3356.72 W 1 こ3567akW Peteut Ar L-Month total peur outpul Pelet 4dey Pourer outpuct for 30 A NT Petect 30 X 2.3567文 kW 70 7016 Kw Pelert 70.70 KW