How Much Electrical Power Does a 75% Efficient Pedal-Operated Generator Produce?

In summary, an 80kg man on a step-exercise machine climbs a 3.0m high staircase in 8.5s. Assuming he works at the same rate to drive a pedal-operated generator with 75% efficiency, the electrical power produced would be 211.8W.
  • #1
lemon
200
0
Hi:
Would somebody please check to see if I am on the right track with this problem.
Many thanks

Homework Statement


An 80kg man on a step-exercise machine climbs a staircase 3.0m high in 8.5s. If he works at the same rate to drive a pedal-operated generator with an efficiency of 75%, how much electrical power would be produced?



Homework Equations


power=work done/time taken
efficiency=useful energy output/total energy input
work=force x displacement in direction of force
F=ma
weight=mg (gravity=10ms ^-2)



The Attempt at a Solution


F=80 x 10 =800N
Work done (W)=800 x 3.0 = 2400J
Power=2400/8.5 = 282.4W (1d.p.)
therefore
75% x 282.4 = 211.8W
F=
 
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  • #2
looks good
 
  • #3
thank you
 

1. What is electric power produced?

Electric power produced is the amount of electrical energy generated by a power source, such as a power plant, solar panel, or wind turbine.

2. How is electric power produced?

Electric power is produced through the conversion of mechanical or chemical energy into electrical energy. This is typically done by spinning a turbine that is connected to a generator, which converts the mechanical energy into electrical energy.

3. What are the different sources of electric power production?

The main sources of electric power production include fossil fuels (coal, natural gas, and oil), nuclear energy, renewable sources (such as solar, wind, hydro, and geothermal), and biomass.

4. How is electric power measured?

Electric power is measured in watts (W) or kilowatts (kW), which represent the rate at which energy is generated or consumed. The total amount of energy produced over a period of time is measured in kilowatt-hours (kWh).

5. What are the environmental impacts of electric power production?

The environmental impacts of electric power production vary depending on the source of energy. Fossil fuels and nuclear energy often have negative impacts on air and water quality, while renewable sources have much lower emissions and environmental impacts.

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