The number of hours the student must pedal the bicycle to power his house by recharging the batteries using a bicycle-powered generator is 56.3 hours.
Electricity generation can be from different sources of primary energy.
For instance, one can generate electricity from these sources: nuclear, hydroelectric, coal-fired, diesel-fired, gas-fired, geothermal, solar, and wind power plants.
Average household power usage = 29 kW-h
The efficiency of the generator = 92%
Battery recharging power = 560 W
The number of hours to pedal the bicycle-powered generator = 56.3 hours (29 x 1000)/560/92%.
Thus, the student needs to pedal the generator 56.3 hours to generate 29 kWh at 92% efficiency.
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