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

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SUMMARY

The discussion focuses on calculating the electrical power output of a pedal-operated generator driven by an 80kg man climbing a staircase. The man ascends 3.0 meters in 8.5 seconds, generating a power output of 282.4 watts. Considering the generator's efficiency of 75%, the effective electrical power produced is 211.8 watts. The calculations utilize fundamental physics equations, including power, work, and efficiency.

PREREQUISITES
  • Understanding of basic physics concepts such as force, work, and power.
  • Familiarity with the equation for efficiency in energy systems.
  • Knowledge of gravitational force calculations (weight = mass x gravity).
  • Ability to perform unit conversions and basic arithmetic operations.
NEXT STEPS
  • Study the principles of energy conversion in mechanical systems.
  • Explore the impact of efficiency on power generation in various types of generators.
  • Learn about the design and operation of pedal-operated generators.
  • Investigate the relationship between mechanical work and electrical power output.
USEFUL FOR

Students studying physics, engineers interested in renewable energy systems, and anyone involved in the design or analysis of pedal-operated generators.

lemon
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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=
 
Physics news on Phys.org
looks good
 
thank you
 

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