Question

A wind turbine has blades of 15m long and 20 m/s wind speed on a day having air density of 1.225 kg/m³. Calculate the power produce by wind turbine if it has 30% efficiency.​

Answer 1

Given:

The length of the blades of the wind turbine is 15m

The speed of the wind turbine is 20m/s

Air density = 1.225kg/m³

To Find:

The power produced by the wind turbine

Solution:

The power id denoted by 'P', Air density is denoted as 'p', Velocity and the length is represented by 'V' and 'l' respectively,

The swept area of the turbine can be calculated from the length of the turbine blades using the area of circle i.e., πr²

Where the radius is equal to the length of the blade.

Now, put the values in the formula of the area of the circle.

= πr²

= 22/7 × 15²m

= 707.1m²

Now, to calculate the power produced by the wind turbine we use

P = 1/2pAv³Cp

  = 1/2×1.225×707.1×20³×0.4

  = 1.6MW

Therefore, the power produced by the wind turbine is 1.6MW

Answer 2

Answer:

The power produced by the wind turbine is 1.6MW

Explanation:

As per the given question:

Given That:

An air density of 1.225 kg/m3, a wind turbine has blades that are 15 metres long and 20 metres per second of wind speed.

To Find:

The power produce by wind turbine if it has 30% efficiency.​

Solution:

The letters "P" stand for power, "p" for air density, "V" and "l," respectively, for velocity and length.

Using the area of a circle πr² , it is possible to get the turbine's swept area from the length of the blades.

where the blade's length and radius are equal.

Put the values in the formula for the circle's area now.

= πr²

$= 22/7 \times 15^{2} m= 707.1m^{2}$

In order to determine the power generated by the wind turbine, we

$P = 1/2pAv^{3} Cp = 1/2\times1.225\times707.120^{2} \times0.4 = 1.6MW$

Therefore, the power produced by the wind turbine is 1.6MW

For more such type of questions:

https://brainly.in/question/24330041

#SPJ3