How Does Bertz Law Calculate Wind Turbine Power?

  • Thread starter Thread starter courtneywetts
  • Start date Start date
  • Tags Tags
    Law
AI Thread Summary
The discussion focuses on calculating wind turbine power using Bertz Law. The density of air is noted as 1.2 kg/m^3, and a wind speed of 10 m/s is used for calculations. The total wind power is calculated to be 600W, but there is confusion regarding the variable 'a' in the formula for maximum extractable power. The maximum extractable power is identified as 59%, and the participant seeks clarification on how to proceed with part B of the homework. The conversation highlights the need for understanding the parameters involved in wind power calculations.
courtneywetts
Messages
80
Reaction score
0

Homework Statement



The density of air under normal conditions is about 1.2 kg/m^3. For a wind speed of 10 m/s find

a) the actual power carried by the wind

b) the maximum possible power (Bert'z limit) extractable by a wind turbine with a blade area of 10 m^2 and

c) the actual power extracted by a wind turbine with a blade area of 10 m^2 and a power coefficient of 0.46


Homework Equations



Maximum extractable wind power = 2a(1-a)^2pv^3

The maximum extractable power is 59%

Total wind power= 1/2pv^3


The Attempt at a Solution



A) total wind= 1/2 (1.2 kg/m^3)(10m/s)^3
= 600W

B) I would use the formula 2a(1-a)^2pv^3

but how do I know what a is?

I'm not sure if I did part a right and am confused on part b
 
Physics news on Phys.org
Can someone please help me with part B?
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

How Does Wind Turbine Blade Length Affect Power Output?
Replies
2
Views
2K
Wind Turbine Energy Transformations
Replies
10
Views
3K
How to calculate wind turbine output?
Replies
16
Views
3K
How Is Wind Power Calculated from Wind Speed and Turbine Size?
Replies
6
Views
4K
Wind Turbine Blade Experiment: What is the Optimal Number for Maximum Voltage?
Replies
2
Views
4K
Calculate magnetic dipole of other planets relative to the Earth
Replies
4
Views
1K
How Is Electricity Generated from Wind Energy?
Replies
2
Views
2K
Design a wind turbine experiment at the High School level
Replies
4
Views
3K
How Is Power Extracted from Wind Turbines?
Replies
2
Views
5K
Acceleration of the tips of wind turbine blades
Replies
13
Views
5K

Hot Threads

Recent Insights

Back
Top