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26 votes
26 votes
A certain fan is capable of using 4800 J of electrical energy each minute, converting 4000 J of it into kinetic energy of the fan. What is the efficiency of this fan?​

User Hugues Stefanski
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2 Answers

24 votes
24 votes

Final answer:

The efficiency of the fan is 83.33%, which is calculated by dividing the kinetic energy output of 4000 J by the total energy input of 4800 J and then multiplying by 100%.

Step-by-step explanation:

To calculate the efficiency of the fan, we compare the kinetic energy output to the electrical energy input. Efficiency (η) can be calculated using the formula η = (useful energy output / total energy input) × 100%. In this case, the total energy input per minute is 4800 J, and the useful energy output (converted into kinetic energy of the fan) is 4000 J.

η = (4000 J / 4800 J) × 100% = (5/6) × 100% = 83.33%

Therefore, the efficiency of the fan is 83.33%, meaning that 83.33% of the electrical energy is transformed into kinetic energy, with the remainder presumably lost to heat and other forms of non-useful energy.

User Jestro
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2.7k points
15 votes
15 votes

Answer:

83%

Step-by-step explanation:

efficiency = output/input

4000J/4800J = 0.8333... = 83% after adjusting for significant digits

User Aerik
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3.5k points