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Figure 13 shows a large wind farm off the coast of the UK - AQA - GCSE Physics - Question 9 - 2022 - Paper 1

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Figure 13 shows a large wind farm off the coast of the UK. The mean power output of the wind farm is 696 MW, which is enough power for 580,000 homes. Calculate the... show full transcript

Worked Solution & Example Answer:Figure 13 shows a large wind farm off the coast of the UK - AQA - GCSE Physics - Question 9 - 2022 - Paper 1

Step 1

Calculate the mean power needed for 1 home.

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Answer

To find the mean power needed for one home, we can use the total power output of the wind farm and divide it by the number of homes it can power.

Given that the wind farm produces 696 megawatts (MW) and powers 580,000 homes, we first convert megawatts to watts:

696extMW=696imes106extW=696000000extW696 ext{ MW} = 696 imes 10^6 ext{ W} = 696000000 ext{ W}

Next, we divide this total power by the number of homes:

extMeanPowerperHome=696000000extW580000exthomes ext{Mean Power per Home} = \frac{696000000 ext{ W}}{580000 ext{ homes}}

Calculating this gives:

Mean Power per Home=1200extW\text{Mean Power per Home} = 1200 ext{ W}

Thus, the mean power needed for 1 home is 1200 W.

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