Question

In: Physics

The electrical power generated by a wind turbine can depend only on L, the length of...

The electrical power generated by a wind turbine can depend only on L, the length of the turbine’s blades, ρ the mass density of the air, and v the speed of the air. Use dimensional analysis to show that the power created by the turbine must be proportional to the cube of the air speed, v. If the air speed doubles the power generated will increase by nearly an order of magnitude! Note that power in the MKS system is measured in Watts where 1[W] = 1 [J/ s] = 1 [kg · m^2/ s^3] .

Solutions

Expert Solution

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

You want to conduct an experiment to understand how the power generated by a wind turbine...
You want to conduct an experiment to understand how the power generated by a wind turbine is affected by the speed of the wind. Write your hypothesis (1point) and explain how you can conduct the experiment (assume that you’re in laboratory conditions like we preformed the Wind Turbine experiment) eg the experiment needed and the procedure of the experiment (1 point). Which parameters/conditions in the experiment should be kept under control and which parameters should be observed to test the...
You want to conduct an experiment to understand how the power generated by a wind turbine...
You want to conduct an experiment to understand how the power generated by a wind turbine is affected by the speed of the wind. Write your hypothesis (1point) and explain how you can conduct the experiment (assume that you’re in laboratory conditions like we preformed the Wind Turbine experiment) eg the experiment needed and the procedure of the experiment (1 point). Which parameters/conditions in the experiment should be kept under control and which parameters should be observed to test the...
b)Consider an ideal wind turbine with a rotor diameter of 126m. What is the power generated...
b)Consider an ideal wind turbine with a rotor diameter of 126m. What is the power generated by this turbine if the wind moves at 20 ms-1 into the turbine, exerts no drag on the rotor blades, etc., and exits the turbine at 15ms-1? Calculate the efficiency of the wind turbine described,Give your answer as a fraction not a percentage. d)The U.S. consumes 20,680,000 barrels of crude oil per day. There are 159 L in a barrel of oil. Crude oil...
What are the methods to access the bird risk with wind turbine power system?
What are the methods to access the bird risk with wind turbine power system?
Write a project proposal on the topic Power Electronics Converters for Wind Turbine Systems
Write a project proposal on the topic Power Electronics Converters for Wind Turbine Systems
Electrical power is to be produced from a steam turbine connected to a nuclear reactor. Steam...
Electrical power is to be produced from a steam turbine connected to a nuclear reactor. Steam is obtained from the ractor at 540 K and 36 bar, the turbine exit pressure is 1.0 bar, and the turbine is adiabatic. a) Compute the maximum work per kilogram of steam that can be obtained from the turbine. A clever chemical engineer has suggested that the single-stage turbine considered here be replaced by a two-stage adiabatic turbine, and that the steam exiting from...
Produce a flowchart to calculate the power performance analysis [Thrust & Torque] of a wind/tidal turbine...
Produce a flowchart to calculate the power performance analysis [Thrust & Torque] of a wind/tidal turbine between the experimental data and theoretical data of a hydrofoil by using Blade Element Momentum Theory. [Hints: polynomial fit and Viterna equations are included in calculation and Power Coefficient (for both exp and theo) vs TSR graph is expected as the result.]
The wind power turbine is generating different amounts of energies at various time periods as shown...
The wind power turbine is generating different amounts of energies at various time periods as shown below. The density of air is 0.093 lb/ft3 and the length of the blade in turbine is 6200 cm. if the turbine rotates with different speeds it generates various tip speed ratios. Show and explain the effect of air speeds on tipspeed ratios by drawing a graph (excel or handwritten).Consider the rotation speed is 22 rpm and power coefficient as 0.45. (8) S.No Energy(MWH)...
1) How is the real power controlled in a grid-connected wind turbine employing a permanent-magnet synchronous...
1) How is the real power controlled in a grid-connected wind turbine employing a permanent-magnet synchronous generator (PMSG) with rectifier and inverter? * rotational speed inverter output current generator output voltage rectifier output voltage inverter output voltage 2) How do you compare the size of power electronics in a grid-connected 1 MW variable-speed wind turbine employing DFIG and PMSG? * same no power electronics in DFIG no power electronics in PMSG smaller in PMSG smaller in DFIG 3)What is the...
1. A string is fixed at both ends. If only the length (L) increases, then the...
1. A string is fixed at both ends. If only the length (L) increases, then the fundamental frequency goes: (circle one) up down 2. If only the tension (T) increases, the fundamental goes: (circle one) up down 3. If only the linear mass density increases, the fundamental goes: (circle one) up down 4. The tension (T) in a string fixed across a 1 m length (L) is 400 Newtons, and the linear mass density of the string is 0.01 kg/m....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT