Calculating Horse Power: How Many Bundles of Shingles Can a Horse Hoist?

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SUMMARY

A horse capable of maintaining 1.00 horsepower (hp) output for 2 hours can hoist approximately 684 bundles of 70 kg shingles to a height of 8 meters, assuming 70% efficiency. The calculations involve converting horsepower to joules, resulting in 3,758,328 joules available for work. The work done to lift the shingles is calculated using the formula W=Fd, yielding 5,488 joules for lifting one bundle. The conclusion confirms the accuracy of the calculations presented in the discussion.

PREREQUISITES
  • Understanding of horsepower and its conversion to watts
  • Basic knowledge of work-energy principles, specifically W=Fd
  • Familiarity with unit conversions, particularly joules and kilograms
  • Concept of efficiency in mechanical systems
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  • Research the principles of mechanical efficiency in animal labor
  • Learn about the physics of lifting and work calculations
  • Explore the historical context of horsepower in agriculture
  • Investigate the physical capabilities of different horse breeds
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Students in physics, engineers, agricultural scientists, and anyone interested in the practical applications of horsepower in lifting and animal capabilities.

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If a certain horse can maintain 1.00hp of output for 2 hrs, how many 70 kg bundles of shingles can the horse hoist to the roof of a house 8 m tall, assuming 70% efficiency?

He're what I did: 1 hp = 745.7 W = 44742 J/min = 2684520 J/hr = 5369040 J/ 2 hr * 70% = 3758328 J / 2 hr

W=Fd
W=(70*9.8)(8m)
W=5488 J

3758328 J / 5488 J =684.8 bundles of shingles

is this correct?
 
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The working is right - so if u calculated the numbers properly - you should get the right answer.
 


Yes, your calculation is correct. According to your calculation, a horse with 1.00hp of output for 2 hours and 70% efficiency can hoist approximately 684 bundles of shingles to the roof of a house 8m tall. This is a significant amount of work for a single horse! It is important to consider the weight and physical capabilities of animals when determining the amount of work they can perform, and this calculation is a good example of that. Great job!
 

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