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How many hp for a horse?

08/23/2008 5:55 PM

Every few months, it seems, someone asks about the old fashioned definition of horsepower. Each summer I try to attend a county fair which has a horse pulling contest and I did so today and paid careful attention to the performance of the horses. Here's what I saw.

It's difficult to accurately gauge time in these contests, so the best I could do is between seconds, i.e., I could say "more than 6 seconds, but not 7 seconds". That made it hard to figure out the best horsepower team, but I think I came close.

One team pulled 3200 pounds a distance of 27.5 feet in a time between 5 and 6 seconds. Since the speed is reasonably close to constant, we can treat it that way. So the foot-lb/sec calculation gives (3200 lb x 27.5 ft)/5.5 sec = 16000 ft-lb/sec.

Since there are 550 ft-lb/sec in one hp, the team (two horses well matched) exerted 29 horsepower for that pull, so each horse could be said to exert 14.5 hp. Although there is no way to know, the team looked able to continue and likely could have pulled like that for perhaps 20 or 25 seconds.

From time to time, a question also comes up about coefficient of friction. The winning team in the lightweight division weighed 3080 lb and pulled 3450 lb, thus showing a coefficient of friction of 1.12.

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#1

Re: How many hp for a horse?

08/23/2008 8:38 PM

Assuming that this is the typical sled sort of pull, I'd guess the coefficient of friction between sled and ground might be .5. In that case, the horses would exerting a force of 1600 lb. But even so, that is an impressive amount of horsepower out of these critters!

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#3
In reply to #1

Re: How many hp for a horse?

08/24/2008 6:37 AM

That's the actual pull weight (or drawbar pull for a tractor). The setup is a little complicated, but they use what amounts to a lifting pull over a pulley. The whole machine is mounted on a truck which is then skidded, but that acts only as a friction snub. At some larger fairs, the machine trials may be calibrated on a dynamometer.

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#6
In reply to #3

Re: How many hp for a horse?

08/24/2008 12:42 PM

Wow. From now on, I am going to eat only oats and hay.

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#2

Re: How many hp for a horse?

08/24/2008 3:22 AM

Hp is for lifting - question how many hp for this honkey?

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#15
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Re: How many hp for a horse?

08/25/2008 12:17 PM

Great photo! Clearly, the driver needs to study a bit of physics...

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#4

Re: How many hp for a horse?

08/24/2008 6:55 AM

Hello TVP45

Remember that an ox (bullock) {Not Sandra, I hasten to add} can pull much more mass against friction than a horse.

Kind Regards....

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#5
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Re: How many hp for a horse?

08/24/2008 8:37 AM

Sparky,

I know oxen can pull much more weight, but I'm not sure about their horsepower, due to the speed isue. I think they're basically big draught horses with a super low gear. I'm unaware of any oxen pulling contests (or even trials). Both oxen and horses were used for pioneers going west in the US in the last half of the nineteenth century and both seemed to do an OK job.

However, there is one job that I know is better suited for oxen:

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#11
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Re: How many hp for a horse?

08/25/2008 6:50 AM

Wow!!! Now, where the hell did you get this picture from? Looks good.

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#7

Re: How many hp for a horse?

08/25/2008 2:46 AM

the only thing i can think off is 1 horsepower = 0.745699872 kilowatts

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#8

Re: How many hp for a horse?

08/25/2008 4:47 AM

I saw 2 mules pull a truck out of a creek that a big wrecker could not move.

The mules were a match pair of reds 6 years old.

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#10
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Re: How many hp for a horse?

08/25/2008 6:46 AM

Yep. The only drawback is you never know when the mules will bite the fellow that put the truck in there and made 'em do all that work.

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#9

Re: How many hp for a horse?

08/25/2008 6:34 AM

My guess is a horsepower is closer to what a horse could deliver continuously.

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#13
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Re: How many hp for a horse?

08/25/2008 9:11 AM

Back in the days of yore to calculate IHP on a diesel engine (large 2 stroke marine and quite a few larger medium speed 4 stroke engines)..............one used a Dobbie McInnes Indicator.as shown

And this gave us diagram, like so.................this is a PV diagram (note it shows you your strokes- 4 stroke engine shown)

Then you would correctly measure the area of the diagram, either by Simpson's Rule or the Mid-Ordinate Rule...............or better still with a polar planimeter

+

The basic formula was

where IHP IHP = PLAN 33 000

Where

IHP = Indicated Horse Power

P = as/l where a = area of diagram

s = spring scale (of indicator)

e.g. 1" = 200psi

l = length of diagram

from atmos press. to peak press. on diag

L = Length of engine stroke

A = Area of piston

N = Number of working strokes/minute

Dividing by 33 000 gave you the horse power developed in the cylinder.

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#14
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Re: How many hp for a horse?

08/25/2008 10:42 AM

Great post.

I have a book. "Computing Mechanisms and Linkages" from 1948 (Part of the MIT Radiation Laboratory Series of texts prepared under the supervision of the National Defense Research Committee) That describes mechanical computers, although none quite as complex as the Dobbie McInnes.

In comparison, the way we do much of this stuff today seems impossibly crude, in a way: we just gather zillions of discrete bits of data, and repeat (often a fairly simple) calculations over and over and over.

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#18
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Re: How many hp for a horse?

08/25/2008 4:56 PM

I loved this answer. It took me back to the good old days when Mother Nature worked in analog.

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#21
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Re: How many hp for a horse?

08/25/2008 6:27 PM

Hello MOBI

from me

Great pictures and explanations.

Kind Regards....

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#25
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Re: How many hp for a horse?

08/26/2008 11:42 AM

Thanks for your vote of confidence gentlemen (ken esbuck & Sparky).

I think it is interesting talking of the "good old days" and seeing how things used to be in the days of manned enginerooms, no sound proofed, air conditioned control rooms................you were down there in the heat and noise...............whether that be steam or diesel vessel.

I recall the first time I used "electronics"...............we used a CRO............that would give either the PV diagram or the P/T (time or degrees of crank angle), which proved to be very useful..............particularly in respect to the injection and combustion process.

A Commencement of injection

A-B Delay period, the time taken from commencement of injection until the fuel actually starts to burn. i.e. when the vapourised fuel reaches its Auto Ignition Temperature of approx 3500C

B-C This is the phase of uncontrolled combustion where all the fuel injected into the combustion chamber during the delay period burns, giving a rapid rise of pressure in the combustion chamber.

C-D This is the controlled combustion phase, where fuel that is still being injected burns immediately it enters the combustion chamber. The pressure may or may not rise during this phase, but ensures a high pressure is maintained as the piston starts its descent down the bore on the power stroke.

D-E This phase is called after burning and is unwanted in the diesel engine, because there is insufficient oxygen in the cylinder to completely burn the fuel, causing a smoky and dirty engine.

The beauty of this diagram is that any fault in the combustion process can be detected at a glance.

Here is a photograph of an actual diagram that also shows the injection. This engine certainly has a problem.

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#12

Re: How many hp for a horse?

08/25/2008 8:08 AM

One large horse lifting 16 tons 1 foot in 1 minute = just ONE HORSEPOWER

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#16

Re: How many hp for a horse?

08/25/2008 12:32 PM

I have NOT researched the original methods used by Watt, but I would presume the original horsepower would have been with the horse working continuously for hours at a time, not for a few seconds. Virtually all machines, living or mechanical, can produce a peak power vastly in excess of the average over long term.

You didn't specify what kind of surface the horses or the load were working on. If they are steel-shod horses on dirt, then they don't depend only on friction, but actually dig in, making possible considerable non-friction forces. If they were rubber-shod, say on asphalt, the same is true, due to conformation of the rubber to the irregularities of the asphalt.

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#22
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Re: How many hp for a horse?

08/25/2008 6:58 PM

Yes, quite so. Watt estimated the continuous power, and got it a little wrong. Ordinary horses can't do a hp for long periods, more like 3/4

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#27
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Re: How many hp for a horse?

08/27/2008 9:21 AM

Watt didn't get it wrong.

He wasn't using ordinary horses. His competition was draft horses, which are a lot stronger. A draft horse can do a little more than 1 hp continuously.

He made his 1 hp engine look good, instead of calling it what it was by underestimating the work a horse can do then saying his engine could do the same.

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#28
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Re: How many hp for a horse?

08/27/2008 7:48 PM

For some reason, I always thought he had added a "fudge factor" of 50%. Thanks for the info.

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#29
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Re: How many hp for a horse?

08/28/2008 1:56 AM

I don't think that anyone knows for sure how James Watt came up with the horse power.

It is believed however, that he deduced the term from watching pit(mine) ponies at work and possibly arrived at a figure of a pit pony lifting a mass of 550lbs at a rate of 1foot/second.............which of course gives us the figure of 33000ftlbs/min

This seems to me to be fairly logical explanation.

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#30
In reply to #29

Re: How many hp for a horse?

08/28/2008 3:04 AM

Hello MOBI

That is exactly the explanation I received, some 50 years ago, when studying Mechanics.

That was before all this new-fangled metrication.

We had good old measure, easy to understand in those days.

Inches, feet, yards, links, fathoms, furlongs, miles, knots, etc.

Pints, quarts, gills, pecks, gallons, kegs, barrels, hogsheads, etc.

Ounces, pounds, quarters, hundredweight, tons, etc.

lbs/inch2 - none of the bars, etc.

lbs/feet of turning moment, etc.

Farthings, halfpennies, pennies, threepences, sixpences, shillings, florins, half-crowns, Notes were ten-shilling, One Pound, Five Pounds, Ten Pounds.

Most of the Imperial Measures" as they were called, related directly to known dimensions, and thus were logical, in spite of conversion complications.

A man could be 6ft 2 inches tall, and people would know what height he was.

Confusion set in, once the US decided to have different liquid measure, and their gallons, barrels were smaller than the Imperial.

The "metrication rot" then really set in, with Napoleon's system eventually conquering the traditional Imperial Measure system.

Now, although I have been working with metrics for over 40 years, I tend to think of timber as 2 x 4 (inches) rather than 100 x 450 (mm) and the like.

I have found it is far easier to measure linearly to 1mm or part thereof, rather than the Imperial 1/16, 1/32, 1/64 inch.

Complexity has resulted in the Screw threads, we had Imperial: brass, cycle, BA, Acme, Whitworth, BSF etc.

Then we went, for some obscure reason to UNC and UNF.

That got phased out for the Metric System for bolt/nut threads.

Now we have machinery up to 100+ years old, and the screw thread problem surfaces every now and then, often a special bolt and/or nut has to be made (On old equipment, because Metric machines cannot make Imperial screw threads very well).

OK, now I'm off to eat my (Good Scots food)

Kind Regards....

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#31
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Re: How many hp for a horse?

08/28/2008 10:54 AM

Too true Sparky............when I came out of the RAN, one of my first jobs (apart from teaching) was the metrication of all books, handouts etc for the students. Once I got into it ,it wasn't too bad..........and at least I had a good working knowledge of the metric system.

My biggest hassle is the units for pressure and stress.......the Pascal (Pa)

The force applied by 1 newton over an area of 1m2.............this is the preferred unit and it is such a piddling little pressure............. but........... more commonly used the kilopascal (kPa or kN/m2 or N/cm2)

also the megapascal (MPa, or MN/m2 or N/mm2), the Bar may also be used. oh! and I nearly forgot the hectopascal (hPa) used for isobars and atmospheric pressure.

Some manufacturers of pressure gauges use units such as kg/cm2 however technically speaking the kilogram is not a force, it is a mass. To get kg as a force it must be multiplied by g(force of gravity = 9,81m/sec2), this then gives you your force in Newtons

This adds up when we know that a force of 1N equals the the force required to move a mass of 1kg at an acceleration of 1m/sec2 !!!!!!!!!!

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#23
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Re: How many hp for a horse?

08/26/2008 7:07 AM

Oops. I didn't respond to the second half of your comment.

Most authorities treat friction as a collection of forces rather than a single one (i.e., surface adhesion, asperities, etc). In that vein, "digging in" is considered a frictional force. Rabinowicz, for example, would even count the resistance to broaching as a frictional force (at least in part).

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#24
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Re: How many hp for a horse?

08/26/2008 10:50 AM

I'll take your word for it. I'm speaking mostly from 32 years as a physics teacher (which ended over 13 years ago)...

Unfortunately, I don't know who Rabinowicz is.

Thanks for your comments.

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#26
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Re: How many hp for a horse?

08/26/2008 11:44 AM

Sorry. I am bad about references. Ernest Rabinowicz was Professor of Mechanical Engineering at MIT and a world-class expert on tribology.

I agree that in the standard physics model of friction, a shod hoof would not be quite legit.

Thanks

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#17

Re: How many hp for a horse?

08/25/2008 2:58 PM

"quarter h/p pony, ie 450lb as against 2000lb + for big shire, pulling 2000lb generator round streets of Birmingham. No need for shoes, steel or rubber. The assistants were there to work the brakes as a pony can pull an awful lot more than it can stop.

The horsepower was invented as a measurement to sell the virtues of machines over horses and the amount a horse can pull consistently for a full working day isn't that great. What they can shift in variable conditions is far more significant as the reserves of power for the difficult sections of a track are massive.

They evolved to travel long distances at low speeds with occasional bursts of escape velocity. If you want a steady consistent power output they aren't at their best, but then you wouldn't use a rocket either.

For local deliveries where carbon neutral is important, or for manoeverability, or working on soft ground or variable conditions pony and horsepower is unbeatable. And for fun, can you have this much fun with any other quarter horse power system?

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#19
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Re: How many hp for a horse?

08/25/2008 6:19 PM

That seems to confirm my suspicion that smaller horses can do more work per pound than larger ones.

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#20
In reply to #19

Re: How many hp for a horse?

08/25/2008 6:22 PM

Hello TVP45

General Rule: The larger the organism, the more inefficient it is.

Kind Regards....

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