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A wind turbine has an efficiency of 0.7. The wind provides 8000 J of kinetic energy to the blades of the wind turbine. How much useful energy will the wind turbine transfer? Use the equation below to help you. You may need to rearrange the equation.

Question

A wind turbine has an efficiency of 0.7. The wind provides 8000 J of kinetic energy to the blades of the wind turbine. How much useful energy will the wind turbine transfer? Use the equation below to help you. You may need to rearrange the equation.

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Solution

The question doesn't provide an equation, but the calculation of useful energy can be done using the concept of efficiency. Efficiency is the ratio of useful output energy to the total input energy.

In this case, the efficiency (η) of the wind turbine is given as 0.7 (or 70%) and the total input energy from the wind is given as 8000 J.

The formula for efficiency is:

η = (Useful output energy / Total input energy)

We can rearrange this formula to find the useful output energy:

Useful output energy = η * Total input energy

Substituting the given values into this equation gives:

Useful output energy = 0.7 * 8000 J = 5600 J

So, the wind turbine will transfer 5600 J of useful energy.

This problem has been solved

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