Finding work with given horsepower

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SUMMARY

The discussion centers on a physics problem involving the conversion of ferretpower (fp) to horsepower (hp) and the subsequent calculations to determine the height a motor can lift a crate. The motor outputs 2.75 x 10^5 fp, which converts to 8,580 hp, equating to 6,398,106 watts. The weight of the crate, calculated from its mass of 2.75 slugs (40.1 kg), allows for the determination of lift height using the work-energy principle, resulting in a final height of 81,405 meters. The accuracy of the motor's horsepower output is questioned, indicating potential discrepancies in the problem's parameters.

PREREQUISITES
  • Understanding of basic physics concepts such as work, power, and energy.
  • Familiarity with unit conversions, specifically between ferretpower, horsepower, and watts.
  • Knowledge of gravitational force and its impact on mass (W = mg).
  • Ability to apply the work-energy principle in problem-solving.
NEXT STEPS
  • Study the principles of energy conversion and efficiency in electric motors.
  • Learn more about the work-energy theorem and its applications in physics problems.
  • Explore advanced unit conversion techniques, particularly in mechanical power.
  • Investigate the implications of using non-standard units like ferretpower in engineering contexts.
USEFUL FOR

This discussion is beneficial for physics students, engineering students, and anyone interested in understanding the calculations involved in mechanical power and energy transfer in systems involving electric motors.

joel amos
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Homework Statement


If one ferretpower (fp, made-up unit) is equal to 0.0312 hp, and an electric motor puts out 2.75 x 10^5 fp, how high (in meters) can it lift a crate that has a mass of 2.75 slugs in 5 s?

Homework Equations


P = W/t W = mgh
1 hp = 745.7 watts
1 slug = 14.59 kg

The Attempt at a Solution


Converted fp to hp to get 8,580 hp. Converted hp to watts to get 6,398,106 watts. Found weight of crate to be 40.1 kg. Used W = Pt to get 31,990,530 J. Used W/mg = h to get my final answer of 81,405 m. Is this the same answer you got?
 
Last edited:
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what is your question? Your process looks correct but do you really have a 8580 hp motor?
 
My teacher's numbers tend to be quite stupid. Thanks for the reply.
 

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