Question

A wind turbine works by slowing the air that passes its blades and converting much of the extracted kinetic energy to electric energy. A large wind turbine has 45-m-radius blades. In typical conditions, 86,000 kg of air moves past the blades every second. If the air is moving at 11 m/s before it passes the blades and the wind turbine extracts 40% of this kinetic energy, how much energy is extracted every second? Express your answer with the appropriate units. E = 2081200 W

          A wind turbine works by slowing the air that passes its blades and converting much of the extracted kinetic energy to electric energy. A large wind turbine has 45-m-radius blades. In typical conditions, 86,000 kg of air moves past the blades every second. If the air is moving at 11 m/s before it passes the blades and the wind turbine extracts 40% of this kinetic energy, how much energy is extracted every second? Express your answer with the appropriate units. E = 2081200 W

Show more…

A wind turbine works by slowing the air that passes its blades and converting much of the extracted kinetic energy to electric energy. A large wind turbine has 45-m-radius blades. In typical conditions, 86,000 kg of air moves past the blades every second. If the air is moving at 11 m/s before it passes the blades and the wind turbine extracts 40% of this kinetic energy, how much energy is extracted every second? Express your answer with the appropriate units. E = 2081200 W

Added by Michael F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

12/06/2022

Step 1

The kinetic energy (KE) of an object is given by the formula: \[ KE = \frac{1}{2} m v^2 \] where \( m \) is the mass and \( v \) is the velocity. Given: - Mass of air per second, \( m = 86,000 \, \text{kg} \) - Velocity of air, \( v = 11 \, \text{m/s} Show more…

Show all steps

lock

Thanks for your feedback!

If the air is moving at 11 m/s before it passes the blades and the wind turbine extracts 40% of this kinetic energy, how much energy is extracted every second? A wind turbine works by slowing the air that passes its blades and converting much of the extracted kinetic energy to electric energy. A large wind turbine has 45 m-radius blades. In typical conditions, 86,000 kg of air moves past the blades every second. Express your answer with the appropriate units.

Play audio

Feedback

Powered by NumerAI

Timothy James and 85 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later