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ch4aika [34]
3 years ago
7

At a certain location, wind is blowing steadily at 10 m/s. Determine the mechanical energy of air per unit mass and the power ge

neration potential of a wind turbine with 90-m-diameter (D) blades at that location. Take the air density to be 1.25 kg/m3. The mechanical energy of air per unit mass is .05 Numeric ResponseEdit Unavailable. .05 correct.kJ/kg. The power generation potential of the wind turbine is
Physics
1 answer:
Effectus [21]3 years ago
4 0

Answer:

X=3976.078202kW \approx 3976kW

Explanation:

From the question we are told that

Wind speedV_w=10m/s

Turbine blade diameter D=90m

Air density  \tau=1.25kg/m^3

Mechanical energy K.E =0.05kJ/kg

Generally the power generation potential of the wind turbine X is mathematically given as

  X=m'*K.E

Where

m'=\tau *\pi*D^2/4*V

m'=1.25 *\pi*90^2/4*10

m'=79521.56404kg/s \approx 79521.5kg/s

Therefore

X=m'*K.E

X=79521.56404*0.05

X=3976.078202kW \approx 3976kW

X=4.0MW

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