An ECE110 student decides to "go off the grid" and powers his house by batteries. On the first day, the electric power usage for the household was 29 kW-h. He must recharge his batteries using a bicycle-powered generator with 92 % efficiency. For how many hours must he now pedal the bicycle at a peak power of 560 W in order to recharge to the batteries?

Respuesta :

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.

How is electricity generated?

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.

Data and Calculations:

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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