The conversion of horsepower to duck power involves complex calculations based on the metabolic rates and physical capabilities of ducks compared to horses. One horsepower is equivalent to approximately 750 watts, while estimates for duck power range from 25 to 60 duck power per horsepower. Key factors include the average weight of a duck (7.5 lbs) and the application of Kleiber's Law, which relates metabolic rate to body mass. The discussion highlights the humorous yet scientific approach to this unconventional problem, with various calculations leading to an estimated duck power of about 0.0238 hp.
PREREQUISITES
Understanding of horsepower and its conversion to watts (1 hp = 750 W)
Familiarity with Kleiber's Law and its implications on metabolic rates
Basic knowledge of animal physiology, particularly in relation to strength and energy expenditure
Ability to perform dimensional analysis for power calculations
NEXT STEPS
Research the metabolic rates of various bird species, focusing on ducks
Explore the application of Kleiber's Law in different animal studies
Investigate the physics of flight and energy expenditure in birds
Learn about alternative methods for measuring animal power output, such as using dynamometers
USEFUL FOR
This discussion is beneficial for physicists, biologists, and anyone interested in comparative animal physiology, as well as those looking for a humorous take on unconventional scientific inquiries.
#31
Jamison Lahman
142
35
Tom.G said:
The to-scale mill wheel is the easy part, in fact I might even volunteer; assuming you train the ducks.
That's why I made the duck statement the conditional. I don't have any ducks to train :/
searching PF for: duck efficiency
yielded no results
so I searched for: human body efficiency
and came up with roughly 20%
[ref 1: ≈30%][ref 2: 14%][ref 3: 20%]
Mech_Engineer said:
1.8 million calories expended in 30 hours calculates to 1 Duck Power = 69.8 W (0.094 hp)
Assuming ducks are as efficient as humans, I believe 1 Duck Power should be closer to 69.8/5 = 14 W
Though many people claim that physically fit humans are more efficient than people like me, and ducks seem quite fit, IMHO, so it's probably a bit higher than 14 watts. Which indicates to me, that 42 is the answer.
Code:
hp/dp dp/hp watts method/source
0.0070 143 5.2 Interpolation by horse, human, duck, point slope method
0.0073 137 5.4 Fine structure constant [why not]
0.013 75 9.9 Jamison Lahman's reference
0.017 60 12 4Chan upper range
0.019 53 14 Mech Eng * 20%
0.024 42 18 Kleiber's Law/ Douglas Adams
0.040 25 30 4Chan lower range
0.094 11 70 Mech Eng
------ ----- ----- ----------------------
0.018 57 13 median
Note 1: Birds, and therefore I assume ducks, although capable, do not pass gas [ref]
One of my classmates in grad school told me that as an undergraduate student assistant, he had given a similar exercise involving "dipping ducks". The comparison was to a nearby power plant operated by the Duke Power Company (in North Carolina), so the desired conversion factor was "ducks per Duke."
searching PF for: duck efficiency
yielded no results
so I searched for: human body efficiency
and came up with roughly 20%
[ref 1: ≈30%][ref 2: 14%][ref 3: 20%]
Assuming ducks are as efficient as humans, I believe 1 Duck Power should be closer to 69.8/5 = 14 W
Though many people claim that physically fit humans are more efficient than people like me, and ducks seem quite fit, IMHO, so it's probably a bit higher than 14 watts. Which indicates to me, that 42 is the answer.
Code:
hp/dp dp/hp watts method/source
0.0070 143 5.2 Interpolation by horse, human, duck, point slope method
0.0073 137 5.4 Fine structure constant [why not]
0.013 75 9.9 Jamison Lahman's reference
0.017 60 12 4Chan upper range
0.019 53 14 Mech Eng * 20%
0.024 42 18 Kleiber's Law/ Douglas Adams
0.040 25 30 4Chan lower range
0.094 11 70 Mech Eng
------ ----- ----- ----------------------
0.018 57 13 median
Note 1: Birds, and therefore I assume ducks, although capable, do not pass gas [ref]
If birds have eliminated the need to pass gas, I see no problem with eliminating the exhaust path in the energy split diagram. Furthermore, I concur that ducks seem reasonably fit and the notion they're more efficient than large, energy hungry humans makes sense to me. I conclude that one duckpower is most likely 29±15 W. Since 42 is within one standard deviation, I see no problem with using that as the accepted value (assuming no experimental evidence countering this).
#36
KuroganeKiba
OmCheeto said:
Given that I know of no fractional ducks, I believe that your inference that 42 is close enough to the answer, makes me trust that Mr. Adams was correct.
Gentleman, there's something you are not understanding, you have reached the ultimate question!
"The Answer to the Great Question... Of Life, the Universe and Everything... Is... Forty-two,' said Deep Thought, with infinite majesty and calm."
The Earth was created to calculate the question, since Deep Thought could only say the answer, and we finally made it!
#37
Zonker
Out of my league but I am a geek... and this bit seems important. Also, I need an answer too.
Squirrelpower website uses two "completely different methods for computing Squirrelpower that came up with surprisingly similar results. we decided to take our numbers and choose the average of the two." https://eagletalon.net/squirrelpower/
How much Squirrelpower does your car produce? Enter the horsepower of your car below and hit the calculate button to find out how much SquirrelPower (sqp) it produces... Summary
...
"That’s right – based on math, geekness and subjective thinking, 1200 squirrels can do the work of one horse!" Now is that NUTS or what? LOL
#40
Samuel Sawyer
@Simon Bridge using the information you provided I calculated approximately 88.24851 Dp in one Hp
#41
DaveC426913
Gold Member
2025 Award
24,234
8,350
Well, I'm off to find 89 ducks, a horse, and a length of good, strong rope...
Well, I'm off to find 89 ducks, a horse, and a length of good, strong rope...
Horse Collars are still around. Duck Collars, not so much.
Tom
#43
CH WILSON
2
1
Dr.D said:
This all seems pretty much a waste of time, particularly when we observe that 1 hp has little or no bearing on the power output from any particular horse at any particular instant.
If it makes me laugh you didn't waste your time! Maybe I'm wasting mine but...
So far nobody seems to have addressed the power required to fly which will be a far more energetic mode of transport than swimming.
#44
DaveC426913
Gold Member
2025 Award
24,234
8,350
Tom.G said:
Duck Collars [sic]
Here's one:
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#45
Jonas Tingmose
CH WILSON said:
So far nobody seems to have addressed the power required to fly which will be a far more energetic mode of transport than swimming.
Especially for the horse...
Come to think about it, that's another good question. How wildly must a horse flail its legs, in order to achieve flight?
Fat stores accumulated prior to and during migration come in handy because flight is among the most energetically costly activities that waterfowl undertake. Ducks burn 12 times more energy in flight than at rest. The energetic costs of flying are proportional to the size of the bird—the bigger the bird, the more energy required.