Question

Существует проект создания ветроэлектростанции мощностью P=1000P=1000 МВт (мегаватт) в России. Рассмотрим работу отдельного обычного ветрогенератора с тремя крыльями, закрепленными на тонкой горизонтальной оси. Он преобразует энергию ветра в электрическую энергию, накапливаемую в аккумуляторах. Глава «Роснано» Анатолий Чубайс недавно сообщил, что в Ульяновске производятся крылья из углепластика длиной r=65r=65 м. Найти мощность (кинетическая энергия в единицу времени) воздушного потока, проходящего через вращающиеся крылья, если плотность воздуха \rho=1.2ρ=1.2 кг/м^3 3 , средняя скорость ветра V=10.0V=10.0 м/с. Ответ дать в МВт и округлить до десятых долей.Решите пожалуйста ​

Answer 1

Ответ:

7.9MВт

Объяснение:

Екин=(v*v)/2

m=q*v*Fпоперечного сечения

Fпоперечного сечения=3.14*r*r

подставив значения в формулы получаем(если я ничего не путаю) 7,9MВт

Answer 2

To find the power generated by the wind turbine, we need to calculate the kinetic energy of the airflow passing through the rotating blades. The formula for kinetic energy is given by:

Kinetic Energy = (1/2) * mass * velocity^2

In this case, the mass of the airflow passing through the blades can be calculated using the formula:

Mass = density * area * velocity

where: - density (ρ) is the density of air (given as 1.2 kg/m^3) - area is the cross-sectional area of the blades (which can be approximated as a circle with radius r) - velocity (V) is the average wind speed (given as 10.0 m/s)

Let's calculate the power generated by the wind turbine using these values.

Calculation:

1. Calculate the area of the blades: - The blades can be approximated as a circle with radius r = 65 m. - The area of a circle is given by the formula: Area = π * radius^2. - Substituting the values, we get: Area = 3.14 * (65)^2.

2. Calculate the mass of the airflow passing through the blades: - Substituting the values into the formula: Mass = density * area * velocity.

3. Calculate the kinetic energy of the airflow: - Substituting the mass and velocity into the formula: Kinetic Energy = (1/2) * mass * velocity^2.

4. Convert the kinetic energy to power: - Power is the rate at which energy is generated or consumed, so we need to divide the kinetic energy by time. - Since the question doesn't provide a specific time frame, we'll assume it's for a unit of time (1 second). - Power is given by the formula: Power = Kinetic Energy / time.

5. Convert the power to megawatts (MW): - Divide the power by 1,000,000 to convert it from watts to megawatts.

Now let's perform the calculations.

Calculation:

1. Calculate the area of the blades: - Area = 3.14 * (65)^2 = 13273.5 m^2.

2. Calculate the mass of the airflow passing through the blades: - Mass = density * area * velocity = 1.2 * 13273.5 * 10.0 = 159282 kg.

3. Calculate the kinetic energy of the airflow: - Kinetic Energy = (1/2) * mass * velocity^2 = (1/2) * 159282 * 10.0^2 = 7964100 J.

4. Convert the kinetic energy to power: - Power = Kinetic Energy / time = 7964100 / 1 = 7964100 W.

5. Convert the power to megawatts (MW): - Power = 7964100 / 1000000 = 7.9641 MW (rounded to the nearest tenth).

Therefore, the power generated by the wind turbine with the given parameters is approximately 7.9641 MW.