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Some students investigate the efficiency of electric motors - Edexcel - GCSE Physics - Question 2 - 2013 - Paper 1

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Some students investigate the efficiency of electric motors. (a) (i) The students find that one electric motor has an efficiency of 60%. Explain in terms of energy ... show full transcript

Worked Solution & Example Answer:Some students investigate the efficiency of electric motors - Edexcel - GCSE Physics - Question 2 - 2013 - Paper 1

Step 1

Explain in terms of energy what is meant by an efficiency of 60%.

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Answer

An efficiency of 60% means that 60% of the total electrical energy supplied to the motor is converted into useful energy, typically kinetic energy. Therefore, this indicates that 40% of the energy is not used effectively and is lost, often as heat or waste energy.

Step 2

The power of a motor is the rate at which it transfers

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Answer

B energy

Step 3

Calculate the energy supplied to the motor.

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Answer

To find the energy supplied to the motor, we use the formula:

extEnergy=extPowerimesextTime ext{Energy} = ext{Power} imes ext{Time}

Given that the power rating of the motor is 20 W and the time is 15 s:

extEnergy=20extWimes15exts=300extJ ext{Energy} = 20 ext{ W} imes 15 ext{ s} = 300 ext{ J}

Therefore, the energy supplied to the motor is 300 J.

Step 4

Calculate the efficiency of this motor.

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Answer

The efficiency can be calculated using the formula:

ext{Efficiency} = rac{ ext{Useful Output Power}}{ ext{Input Power}} imes 100 ext{%}

Here, the useful output power is 18 W and the input power is 24 W:

ext{Efficiency} = rac{18 ext{ W}}{24 ext{ W}} imes 100 ext{%} = 75 ext{%}

Thus, the efficiency of this motor is 75%.

Step 5

Complete the following sentence by putting a cross (X) in the box next to your answer.

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B conservation of energy

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