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Read the following passage and answer the accompanying questions - Leaving Cert Physics - Question 11 - 2012

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Read the following passage and answer the accompanying questions. Windmills have been used for thousands of years to grind grain but the first attempts to use wind ... show full transcript

Worked Solution & Example Answer:Read the following passage and answer the accompanying questions - Leaving Cert Physics - Question 11 - 2012

Step 1

What is the effect on the power of the wind if the wind speed is doubled?

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Answer

The power of the wind is increased by a factor of 8 when the wind speed is doubled, because power is proportional to the cube of the wind speed.

Step 2

Why is it not possible to extract all of the energy in the wind striking a wind turbine blade?

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Answer

It is not possible to extract all the energy because the wind is slowed down, rather than stopped, as it passes through the turbine.

Step 3

What is electromagnetic induction?

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Answer

Electromagnetic induction occurs when a conductor cuts through a magnetic flux, inducing an electromotive force (emf) in the conductor.

Step 4

How is the output voltage of a wind turbine changed to 230 V a.c.?

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Answer

The output voltage is changed to 230 V a.c. using a transformer.

Step 5

Estimate the factor by which the sound intensity changes when you move from a position which is about 200 m away to a position which is about 150 m away from a typical wind turbine.

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Answer

To estimate the increase in sound intensity, we note that an increase in sound level of 3 dB corresponds to a doubling of intensity. Thus, moving closer to the turbine (150 m) increases the sound intensity by a factor of 2.

Step 6

What is the tip speed (the linear velocity of the outer end) of a blade of radius 30 m when it completes a revolution every 3 seconds?

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Answer

The tip speed can be calculated using the formula: T=2πrTT = \frac{2\pi r}{T} where rr is the radius (30 m) and TT is the period (3s). This gives: T=2π×303=62.83 m/sT = \frac{2\pi \times 30}{3} = 62.83 \text{ m/s}.

Step 7

Small scale wind turbines are sometimes used to charge batteries. The a.c. output voltage has to be converted to a d.c. voltage. How is this achieved?

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Answer

The a.c. voltage is converted to d.c. voltage using a diode or rectifier.

Step 8

Name one other renewable source of energy.

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Answer

One other renewable source of energy is geothermal energy.

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