Question

C) Calculate the maximum possible power output from a 31 m-diameter wind turbine operating in a...

C) Calculate the maximum possible power output from a 31 m-diameter wind turbine operating in a 11 m/s wind, given 1.235 kg/m3 for the density of air

Homework Answers

Answer #1

Given

Diameter 'd' = 31m

Velocity 'v' = 11m/s

density '' =1.235kg/m3

Now the formula for maximum possible power output is given by

Now the value of 'Cp' is chosen according to the Betz limit, which is given as Cp =0.59.

So from the above calculations, we get,

The maximum power output = 365.995kW

NOTE:

Please do comment to get clarified in any part of the solution.

Thank you.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For a wind turbine with a rotor diameter of 43 meters, air density of 1.125 kg/m3,...
For a wind turbine with a rotor diameter of 43 meters, air density of 1.125 kg/m3, and a wind velocity of 10 m/s, Wind power density is calculated as follows: A= Area= ¼ (π) D2 = ¼ (3.1416) (43)2 = 1451m2 Assuming 1m depth of the disk Volume = Area X Depth = 1451m2 X 1m = 1451m3 Mass = Density X Volume = 1.125 kg/m3 X 1451m3 = 1780 kg WPD = Pwr/ A = ½ ρ V3 =...
At a wind speed of 45 mph, a wind turbine placed on a hill with air...
At a wind speed of 45 mph, a wind turbine placed on a hill with air density of 1.2 kg m-3 generated power of 3.5 MW. Calculate the length of the blade on the wind turbine?
1. A dozen (12) wind turbines operate within a small wind farm. If the average wind...
1. A dozen (12) wind turbines operate within a small wind farm. If the average wind velocity over the course of a day is 27.3 m/s, calculate the power generated if each turbine collects from a circular area of diameter 23.1 m and operates at the Betz limit with a mechanical efficiency of 33.8%. (Answer in MW, note the density of air is 1.225 kg.m-3) 2. A wind turbine has a tip velocity is 69.5 m.s-1, and a blade diameter...
A wind turbine that is 80 feet in diameter has a steady wind of 30 mph...
A wind turbine that is 80 feet in diameter has a steady wind of 30 mph (miles per hour) blowing into it. The efficiency of the turbine in converting wind energy to electricity is 40%. If the mass density of air is 0.075 lbm/ft3 answer the following questions. You did watch the video lectures ...right? What is the actual power output of the turbine in horsepower to three significant digits ______________? Do not type in units, do not forget efficiency....
A typical wind turbine extracts 40% of the kinetic energy of the wind that blows through...
A typical wind turbine extracts 40% of the kinetic energy of the wind that blows through the area swept by the blades. For a large turbine 110,000 kg of air moves past the blades at 13 m/s every second. A. Sketch the turbine and the air passing ‘through’ it. B. How much power does the turbine extract? C. If the turbine converts 80% of the power into electric energy, how much electric power is produced?
A newly-designed vertical axis wind turbine with a diameter of D=1.25 m spins the air around...
A newly-designed vertical axis wind turbine with a diameter of D=1.25 m spins the air around with a tangential velocity (in polar coordinate system) of Vo=(1/π)Dω at its tip, where ω is the angular velocity of the turbine. a) Calculate the circulation for this turbine when it rotates at N=65 rpm in a field that air pressure and temperature are 101250 Pa and 7 oC, respectively. b) If the turbine height is H=8 m, find the lift force produced by...
An industrial wind turbine has blades that are 35 m long. On a 20?C day, wind...
An industrial wind turbine has blades that are 35 m long. On a 20?C day, wind at atmospheric pressure blows with a velocity of 12 m/s , and wind in the turbine wake only has a velocity of 11 m/s . (a) Will the turbine’s wake have a smaller, larger, or the same cross-sectional area compared to the area the blades sweep out. Why? Calculate this area. Hint: At velocities much lower than the speed of sound, with small pressure...
A 3 phase alternator derived by wind Turbine is designed to generate a maximum of 400kw...
A 3 phase alternator derived by wind Turbine is designed to generate a maximum of 400kw at wind speed of 15 m/s. The internal generated voltage of the alternator at rated rotor speed is Eo= 480 v/phase, and the synchronous reactance of the alternator is 1.0 ohm. The output of the alternator is connected to an infinite busbar of 420 v/phase through transmission lines that have reactance of 10 ohm per phase. Draw the per phase equivalent circuit of the...
A mixing tank has “Standard” dimension ratios. The tank diameter is 3.0 m. It contains a...
A mixing tank has “Standard” dimension ratios. The tank diameter is 3.0 m. It contains a disk turbine impeller with 6 blades and the impeller diameter is 1.0 m. The turbine is operated at 90 rpm and the solution in the tank has a viscosity of 0.02 Pa-s and a density of 1100 kg/m3. Calculate the power input.
For an offshore wind farm, a tower is built on the sea floor at a depth...
For an offshore wind farm, a tower is built on the sea floor at a depth of 50m and it rises 30m above the still water level (SWL). Sustained wind in that location is 10 m/s. Ocean wave parameters are: T = 7s and H=3m. Consider the tower as cylindrical and its diameter = 0.75m. Consider wave effect and wind driven current for the submerged portion of the tower, and wind alone above SWL. a) Calculate the total force exerted...