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Author Topic:   Four-cyle Engines: Running at Maximum Torque
high sierra posted 11-04-2009 10:14 PM ET (US)   Profile for high sierra   Send Email to high sierra  
There seems to be a theory that four-cycle outboards should be run at their maximum [engine speed]. I differ with that method after many years of running fast cars , outboards and motorcycles. I try to find out the [engine speed where] the maximum torque produced and run them at that speed. To run them at the max [engine speed] is conterproductive and is hard on the engine I do believe. The maximum torque [engine speed] gives you the best running area of the motor and the most power but not necessarily the fastest speed. This of course can challenged with certain motors but I find it to be the most effective for the motors I run. high sierra
AZdave posted 11-04-2009 10:40 PM ET (US)     Profile for AZdave  Send Email to AZdave     
I think you have stated a very good rule of thumb for most internal combustion engines, not just four cycle outboards. In many ways engines are like pumps. It becomes more and more difficult to move in the fuel and air and move out the exhaust as RPM increases. Farm tractors usually ran in the fat part of the torque curve, and so does my pickup with its Cummins.
pcrussell50 posted 11-04-2009 11:32 PM ET (US)     Profile for pcrussell50  Send Email to pcrussell50     
You are mostly right in your understanding of engines and power bands, however I'm not sure you are painting the complete picture.

Best fuel economy in a 4-stroke-cycle piston engine occurs at wide open throttle, but at maximum torque. In automobiles with manual transmissions, you can possibly force this scenario, and keep it that way with careful gear selection. But it is not easy on the equipment, particularly if the motor is powerful and torquey. It is a critical apex in fuel control, spark timing and load, and is dangerously close to lugging. In automatic transmission cars with computer control and warranties, the PCM would never allow this. I'm not sure how you could run at WOT at precisely to peak torque rpm in an outboard unless you chose precisely the right prop for the weight and conditions. And again, you would be dangerously close to lugging.

Best acceleration and top speed are always attained WOT and at the rpm where maximum power is produced.* This is not the most fuel efficient situation, but you are also not a max load, and as long as the reciprocating parts and valve train are up to the task of sustained operations at that rpm, it's easier on the motor than the first scenario, which I consider to be mostly hypothetical because of it's impracticality to employ. It is also common practice in the EFI world for the PCM calibration to command slightly rich of peak fueling to keep piston tops cooler and what not, thereby "wasting" some extra fuel as well.

*Neato, little known fact: Horsepower and torque in ft*lbs are always equal to each other at 5252rpm all the time, every engine whether outboard or F1 auto racing engine.

Peter
Santa Barbara, CA

jimh posted 11-05-2009 09:37 AM ET (US)     Profile for jimh  Send Email to jimh     
Who is the proponent of the theory that an engine should be run at its maximum speed? My recollection is that if there is any sort of a theory that has been generally put forth in the prior discussions about about engine speed, it has been that the optimum engine speed for long term use is typically about two-thirds to three-quarter of full throttle as a general cruising speed setting. This throttle setting often does coincide with the peak in the torque curve.

In general with an outboard engine it is impossible to know the details of the horsepower and torque output as a function of engine speed because the manufacturer does not provide them.

elaelap posted 11-09-2009 10:32 AM ET (US)     Profile for elaelap  Send Email to elaelap     
Is this some kind of in-joke among mechanics and engineers, or is it for real?

"*Neato, little known fact: Horsepower and torque in ft*lbs are always equal to each other at 5252rpm all the time, every engine whether outboard or F1 auto racing engine."

I sure don't understand that "little known fact" at all. I just bought a diesel VW Sportwagen, whose turbocharged motor produces an amazing 236 ft-lbs of torque at around 2000 rpm, and 140 horsepower at 4000 turns. What's happening here, Peter?

Tony

Tom W Clark posted 11-09-2009 10:42 AM ET (US)     Profile for Tom W Clark  Send Email to Tom W Clark     
I have never heard of any "theory that four-cycle outboards should be run at their maximum engine speed" but what do I know about outboard motors?
Peter posted 11-09-2009 10:48 AM ET (US)     Profile for Peter  Send Email to Peter     
Different Peter but it is for real...

The relationship between HP and Torque is as follows:

HP = (Torque x RPM) / 5252

It is not surprising that your diesel makes torque at such a low RPM because it makes its peak HP at a low RPM relative to a gasoline motor. If it makes 236 ft-lbs of torque at 2000 RPM, then it is capable of making 90 HP at 2000 RPM. The powercurve versus RPM is compressed relative to a gasoline engine of comparable peak HP.

elaelap posted 11-09-2009 11:49 AM ET (US)     Profile for elaelap  Send Email to elaelap     
Fascinating. I love this stuff, not that I begin to understand it ;-) Thanks for that, Peters Uno y Dos.

Tony

Tohsgib posted 11-09-2009 12:22 PM ET (US)     Profile for Tohsgib  Send Email to Tohsgib     
Audi has a concept electric vehichle that produces 313hp and an astonishing 3341 ft lbs of torque. The torque is almost instant as it is an electric engine.
69boo307 posted 11-09-2009 12:29 PM ET (US)     Profile for 69boo307  Send Email to 69boo307     
There's alot of misconception about Horsepower vs. Torque. Horsepower is nothing but a function of Torque with the formula that Peter mentioned, plain and simple. Torque is a measure of force, while Horsepower is a measure of work, basically Torque applied over a distance.
69boo307 posted 11-09-2009 12:31 PM ET (US)     Profile for 69boo307  Send Email to 69boo307     
BTW, if you ever see a chassis dyno chart from a car, the HP and TQ curves ALWAYS cross at 5252 RPM, unless something is wrong with the instrumentation.

high sierra posted 11-09-2009 04:19 PM ET (US)     Profile for high sierra  Send Email to high sierra     
Just to clarify. We are looking for maximum torque to do the job, push a boat. A BMW M series, 240 hp at 6000, 236 torque at 3800 rpm ; a Chevy Trailblazer 395 hp at6000 rpm , 400 lb torque at 4000 rpm ; Honda S2000, 240 hp at 8300, 153 torque at 7500. I just finished test driving a Ferrari Scuderia, a Lamborghini Superleggera and a Calloway C16 Supercharged Corvette and can tell you the torque and hp do not occur at the same point. The Corvette will smoke the tires at 100 mph( with the traction control off) and nowhere near max rpm. Max torque on the torque curve is where the power is the greatest. My 150 Yamaha outboard torque is around 5000rpm as far as I can determine and from there on it's down hill as far as efficiency goes. The 4 valve double overhead cam Yamaha 150 engine could go 3000 to 4000 rpm higher if it was'nt governed but the torque would only rise slightly as the efficiency of the engine declines with increase in rpm. (in this outboard pushing a boat) Just my findings. high sierra
elaelap posted 11-09-2009 06:28 PM ET (US)     Profile for elaelap  Send Email to elaelap     
So is torque some sort of definitional thing, an arbitrary number set up when the calculus involves the magic 5252 divisor? In fact, what IS it? I've always pictured 'torque' as sorta low end pulling power, or swift tire-burning starts, quick out of the hole when we're talking about outboard motors...like that. A measure of a motor's ability to overcome inertia.

Who can put this into layman's terms that even a mechanically-challenged person such as me can understand?

Tony

elaelap posted 11-09-2009 06:51 PM ET (US)     Profile for elaelap  Send Email to elaelap     
P.S. I just looked at the cool animated Wikipedia site for "torque" and it left me more confused than ever. So when I ask for a simple explanation, I mean SIMPLE, por favor ;-)

Tony

deepwater posted 11-09-2009 07:38 PM ET (US)     Profile for deepwater  Send Email to deepwater     
I have always eased into a WOT and as jimh indicated backed off once max speed was achieved to 2/3 just to ease up on the motor and reduce noise
Peter posted 11-09-2009 07:52 PM ET (US)     Profile for Peter  Send Email to Peter     
Tony -- I think this is about as simple as it gets --> the twisting force required to overcome an object's resistance to rotation. You can think of 10 ft-lbs of torque this way, 1 lb of force applied to the end of a 10 foot lever arm or 10 lbs of force applied to the end of a 1 foot lever arm. Either way, you would be applying 10 ft-lbs of torque.


--1foot-- 10 lbs

----------------------10 feet------------------------ 1 lb

The torque measured at the left end of the lever would be the same.

Even as mechanically challenged as you may claim to be I'm sure you've used a screwdriver before and have experienced torque. In order for you to make the screw rotate with the screwdriver, you have to apply a twisting force known as torque with your hand to the screwdriver which is turning the screw. I'm sure you've found that some screws are easy to turn with the screwdriver, some are harder to turn. The easier screw requires less torque to overcome its resistance to twisting than the harder screw. There may have been some screws that you cannot cause to turn at all because its resistance to twisting exceeds your capability to twist (the available torque you can provide).

pcrussell50 posted 11-09-2009 08:13 PM ET (US)     Profile for pcrussell50  Send Email to pcrussell50     
high sierra sez:
quote:
A BMW M series, 240 hp at 6000, 236 torque at 3800 rpm ...snip...[first assertion]:, and can tell you the torque and hp do not occur at the same point. ...snip...[second assertion]:Max torque on the torque curve is where the power is the greatest[third assertion]....snip.... high sierra

Almost there, high:

Second assertion:
I'm pretty sure nobody in this thread says that hp and torque occur at the same point... EXCEPT at 5252 rpm, where horsepower ALWAYS equals torque. This is not somebody's old saw, this is a mathematical certainty borne of the fact that:

[1] hp = torque x rpm/5252

There is no room for interpretation on this matter. This formula can be derived from the definition of horsepower, where:

[2] 1hp = 550 lbs.ft/second

This again is not open to interpretation. This IS the definition of horsepower. The mathematical proof of the first formula uses the definition of horsepower, which is the second formula.


Third assertion:
Because of the first formula, which shows horsepower as a mathematical function of BOTH torque AND rpm, your second assertion, that max torque occurs where max power occurs is incorrect. further, this statement runs contrary to your first statement, which was that hp and torque do not occur at the same point. Unless I read it wrong or you misspoke.

First Assertion:
Ah yes, the late, great BMW s52 derivative of their great I6. This was the very same motor in my old ///M3 race car. I would posit that the s/m 50/52/54 series of BMW straight six has simply got to be one of the top 10 greatest auto engines ever. And that is without knowing every other engine ever produced. Too bad they discontinued the s52 after 1999, with the end of the e36m3's run. It's hard to believe it's been gone [in that particular iteration], for 10 years now, though it still lives on in derivative form in the twin turbo 3.0L series of the 135i, 335i and 535i.

Peter
Santa Barbara, CA

elaelap posted 11-09-2009 08:15 PM ET (US)     Profile for elaelap  Send Email to elaelap     
So then is it a measurement of the twisting force applied to an automobile's wheels or an outboard motor's prop? And why is this a different measurement from horsepower or the mechanical advantage provided by lower gearing?

In fact, the latter question underlines my confusion about this concept. I get it that a longer lever (with the fulcrum and object to be moved remaining in the same location) increases power to turn or move something, and I can grasp how lower gearing can change the ability of a motor to overcome the inertia of an object that higher gearing on the same motor couldn't move, but I still don't see how the concept of 'torque' fits into all of this, unless it's just another word for the same physical effects.

Tony

pcrussell50 posted 11-09-2009 10:02 PM ET (US)     Profile for pcrussell50  Send Email to pcrussell50     
elelap,

It sounds like you now have an intellectual grasp of torque. The whole concept of torque is related to turning or twisting things. There is an exact equivalent analogy to moving things linearly as well, [more on that later]. Well, power is the rate of output of torque. And HORSEpower is simply a specific amount of power.

A good analogy to understanding power that I like to use, [and have used, while tutoring junior college students], is the following, and it uses the linear analogy, instead of the angular, [which torque applies to]:

Suppose you can bench press 275 lbs. If you press it up 1 foot, you have just exerted 275 ft.lbs. If you press it up 2 feet, you have just exerted 550 ft.lbs.

Now, it is a fact that 1 horsepower = 550 ft.lbs in 1 second. Or, 550 ft.lbs/s

So if you can press your 275lbs up 2 feet in ONE SECOND, you are putting out 1 horsepower. You are one strong hombre. Now suppose you have a nerdy scientist friend who couldn't possibly lift 275 lbs, 2 feet in one second. But, he builds a contraption with pulleys and gears and a crank handle, like we might have on our trailer winches, and he lifts the 275 lb barbell the same two feet you just did... But it takes him 10 seconds. Well then, he just put out 1/10th of a horsepower.

Sooo, then. Back to engines and such. When you put an engine on a dyno, whether it's a wheel dyno or an eddy current dyno, it's actually only measuring torque. You then go back and take the torque at each rpm and apply the formula:

hp = TQ x rpm/5252

to get a horsepower for each of point of torque that the dyno measured. Well, YOU don't do the calulations, the software built into the dyno does it... unless you're a masochist. :)

Ok, dinner bell's ringing. I'll be back to check on this in a bit.

Peter
Santa Barbara, CA

high sierra posted 11-09-2009 10:46 PM ET (US)     Profile for high sierra  Send Email to high sierra     
This is more than I care to know this late in the evening. Actually it's 5250. high sierra
high sierra posted 11-09-2009 10:52 PM ET (US)     Profile for high sierra  Send Email to high sierra     
That 5250 is from one of the physics sites. This is giving me a headache. high sierra
Tom W Clark posted 11-09-2009 11:34 PM ET (US)     Profile for Tom W Clark  Send Email to Tom W Clark     
No, it's 5252.

By definition, Horsepower = Torque x RPM/5252

You can thank James Watt for that.

Moe posted 11-09-2009 11:58 PM ET (US)     Profile for Moe  Send Email to Moe     
It's _roughly_ 5,252 revolutions per minute, because 1 HP, by definition, is 33,000 ft-lbs per minute. Divide that by the circumference scribed by a one pound force on a one foot arm (one foot pound) or 1 x 1 x 2pi = roughly 6.28 per revolution. 33,000 ft-lbs per minute divided by 2pi equals roughly 5,252 revolutions per minute.

elaelap posted 11-10-2009 10:15 AM ET (US)     Profile for elaelap  Send Email to elaelap     
So torque is sort of how, where and when horsepower is applied, right? Am I correct in thinking that my little torquey VW diesel can pull strongly at low revs, thus its torque is relatively high, whatever its horsepower, without necessarily involving the concept of lower gearing at all (which lower gearing would just up the number of turns to provide the same "pull").

Thanks for the time and mental torque employed sharing information about this, Whalers. As must seem obvious to many here, high school physics was more than a little challenge for me; and those guys with foot-long slapsticks* in scabbards hooked to their belts wandering the campus while I attended UC Berkeley in the '60s were living in another intellectual universe ;-)

Tony

*Slide rules, for you youngsters who grew up in the computer age.

69boo307 posted 11-10-2009 01:17 PM ET (US)     Profile for 69boo307  Send Email to 69boo307     
Tony, Torque is a force. When you are trying to loosen a nut with your rachet or box wrench, the force that is turning the nut is torque. When you twist open the lid of a pickle jar for your wife, you are applying torque.
When you pedal a bicycle, the force that is applied to the chainring is torque.
In the context of a car or boat, torque is the force that is being applied to turn the drivetrain.

Yeah, your VW diesel is probably producing considerable torque at low RPMS, however the torque probably peaks at a very low RPM and then falls off rapidly, thus your peak HP calculation is not going to be impressive.

Tohsgib posted 11-10-2009 01:30 PM ET (US)     Profile for Tohsgib  Send Email to Tohsgib     
Tony...Torque is what an engine can do. HP is how fast it will do it.

Because your TDI is producing peak torque so low, it makes peak hp very low as well, hence your 4k redline(or is that my Jeep?). My Jetta TDI had plenty of grunt but would peter out after 3500rpm or so. Then on it would just make noise and smoke, especially with a chip.

Tohsgib posted 11-10-2009 01:34 PM ET (US)     Profile for Tohsgib  Send Email to Tohsgib     
Lastly gas engines can do the same depending on design. My Jeep CJ's would make peak torque at like 1800rpm and peak hp at like 3200, redline was like 4400. This allowed it to offroad VERY well because it did not take much to keep the peak torque curve in line. With newer Jeeps they make twice the HP but it is much higher. Therefore they need to run 4500rpm to climb the same hill as I would need to at 1800 or so all things being equal.
Peter posted 11-10-2009 02:54 PM ET (US)     Profile for Peter  Send Email to Peter     
Tony -- With respect to the bicycle example noted above, here's a visual for ya.

If you are the typical (all right, we know the typical part may not apply but it sounds good) adult male weighing 180 lbs and the typical length of the crank arm of a bicycle is 1 foot from crank center to pedal, then when you stand on the pedal with the crank arm parallel to the ground with the bicycle brake applied, you are providing 180 lb-ft of torque to the sprocket. Until you release the brakes, the bike won't move because it needs to have more than 180 lb-ft of torque applied to the sprocket to overcome the resistance of the brakes.

If you can continuously apply 180 lb-ft of torque to the sprocket each second as its rotating around, you'd be making a continuous 0.32 HP. But that isn't likely. For each full rotation of the sprocket you have two applications of a peak 180 lb-ft of torque (when the crank is horizontal) 180 degrees of apart. All torque applied when the crank is not horizontal will be less than 180 lb-ft.

elaelap posted 11-10-2009 03:06 PM ET (US)     Profile for elaelap  Send Email to elaelap     
Thx, y'all. I think I get it.

Tony

pcrussell50 posted 11-10-2009 04:23 PM ET (US)     Profile for pcrussell50  Send Email to pcrussell50     
This thread started off being about the torque characteristics of piston engines, then diverted on a remedial path to explain what torque is, and then what power is, (which is the rate at which torque is produced), and then what HORSEpower is, which is a specific amount of power.

Did you also know that a Watt is a unit of power? Almost everybody I talk to, (except fellow science and engineering grads), will say, "yebbut Watts have to do with electricity." Well, no, they do not. It's just that in this country, the electric power industry uses Watts as the unit for selling power. They could just as well put on your bill, "horsepower-hours" consumed as they do "kilowatt-hours" consumed. So, in our country, the auto and marine (and aviation) industry use horsepower to describe power, but the electric power industry uses Watts.

But there are other parts of the world where the 500hp BMW ///M5 is said to produce, 373kW of power, because 1,000 Watts or 1kW = 1.341 horsepower.

So next time you see your electric bill, just for fun, multiply the number of kilowatt-hours you used last month by 1.341, and you will see the number of horsepower-hours you used.

Fun!

Peter
Santa Barbara, CA

jimh posted 11-11-2009 09:01 AM ET (US)     Profile for jimh  Send Email to jimh     
According to some respondents who replied to my inquiry about this, it seems that even in countries where the metric system is and has been in use for a long time, the power of engines associated with cars or boats is still usually given in horsepower and not in watts. Use of the watt as a unit of power seems to be confined to scientific descriptions. It has become more common with outboard motors, as most now carry a designation of their power in watts along with horsepower.
Peter posted 11-11-2009 09:10 AM ET (US)     Profile for Peter  Send Email to Peter     
Horsepower has a stronger marketing appeal when it comes to power equipment. Watts is better left to the marketing of hair dryers and light bulbs.
pcrussell50 posted 11-11-2009 01:20 PM ET (US)     Profile for pcrussell50  Send Email to pcrussell50     
The other Peter sez:

quote:
Horsepower has a stronger marketing appeal when it comes to power equipment. Watts is better left to the marketing of hair dryers and light bulbs.

Sure, in this country it does. Possibly in England, too. And possibly also amongst pockets of Europeans whose hobbies comprise vintage motor things. I have lived in Australia and New Zealand as a teen [and a car nut], in the 80's and, and even then, power on the new car brochures was given in kilowatts. What I don't remember is, if there were parenthetical notations of horsepower.

As I write this, I have a browser tab open to General Motors' Australian division, Holden, and am looking at their online brochures. Today, right now, horsepower is not even listed parenthetically. It's kilowatts and kilowatts only.

In my recent travels to France, [averaging 6 times per year], I see that newer OMC's represent well over there. I must say, it never crossed my mind to see if the convention is to list power in kW or horsepower. I'll check the next time I'm on the Cote d'Azur strolling one of the _many_ harbors.

Peter
Santa Barbara, CA

jimh posted 11-11-2009 01:56 PM ET (US)     Profile for jimh  Send Email to jimh     
Another oddity is that even in electric motors, the power output of the motor has generally been stated in horsepower. Inasmuch as the basis for the motor is electricity, and that is universally referenced in watts, you'd think that an electric motor would be a prime application for stating power in watts.

Perhaps as electric cars become more common there will be a shift toward statement of power in watts or kW.

DeeVee posted 11-11-2009 10:41 PM ET (US)     Profile for DeeVee  Send Email to DeeVee     
I once read an example of the difference between the two forms of measurement. It has stuck with me ever since.

If I remember correctly it went something like this:

"Horsepower sells cars, torque wins races."

Doug Vazquez

boatdryver posted 11-12-2009 10:29 AM ET (US)     Profile for boatdryver  Send Email to boatdryver     
OK, now back to the beginning of the thread (its a good one, high sierra).....

Since, as JimH points out, the Outboard engine manufacturers don't publish the torque curves of their products, how do we know the rpm band for maximum torque?

I wonder if what I did with my boat might have accidentally arrived at something like figuring this out.

After putting 40 hours on my 2007 200 Dauntless/175 HP Verado I did several two way runs in flat water, making notes of GPS speed and gallons per hour according to the Smart Craft fuel flow meter.

I found that the nautical miles per gallon vs. rpm curve was virtually flat between 3500 and 4000 rpm, so that's where I run most of the time.

Could one of the engineers comment?

JimL

Tohsgib posted 11-12-2009 11:18 AM ET (US)     Profile for Tohsgib  Send Email to Tohsgib     
It is called your sweet spot. Most boats have this nomatter what type of power. My 24 Baja would get the same MPG between 2600-3500 but GPH vs MPH varied(30-45mph) greatly but the MPG was still very close.
Peter posted 11-12-2009 12:04 PM ET (US)     Profile for Peter  Send Email to Peter     
Here is a link continuouswave.com/whaler/reference/graphics/torqueGraphETEC.jpg to some comparative torque curves. You can see that peak torque for both motors occurs well below WOT RPM, basically in that "sweet spot".
cooper1958nc posted 11-22-2009 03:21 PM ET (US)     Profile for cooper1958nc  Send Email to cooper1958nc     
Some interesting torque facts, while the subject is being discussed.

1. Torque is rotational force that can accelerate a mass in rotation, just like a linear force that can accelerate a mass in translation. When applied to propellers, torque is linearly related to thrust. The constant of proportionality is defined by the propeller's characteristics. Thrust is the force that moves the boat. Thrust times speed is applied (horse)power.

2. Torque produced by an IC engine (optimally timed, with optimal fuel mixture, etc.) is linearly proportional to manifold pressure at any given RPM. The torque curves given in the above reference are for (I assume) full throttle operation (29-30" mercury for normally aspirated engines).

3. Peak full throttle torque coincides, more or less with the RPM at which the engine experiences peak volumetric efficiency, which is where it is the most efficient air pump. However, peak VE (the "sweet spot" referred to above) has nothing to do with fuel economy or specific fuel consumpton. Assuming a constant fuel mixture the engine uses the most, not the least, fuel (and air) per RPM at peak VE.

4. The "fact" that torque in foot pounds (some purists use pound-feet only) equals horsepower at about 5200 RPM is definitional and true only when the units of measurement are as above.

5. RPM is related to horsepower by roughly the cube. For instance if an engine produces 100 hp at 6000 RPM, at 4000 RPM it produces only 30 (not 66) horsepower. This result applies to static mounted engines, fixed-pitch airplane propellers at higher speeds, water pumps with impellers in pipes, and boats traveling fast enough that their total drag is proportional to the square of the velocity. (For boats going slower, where wave making resistance is significant, the relationship of power and RPM is usually an exponent between 2 and 3.)


jimh posted 11-22-2009 05:39 PM ET (US)     Profile for jimh  Send Email to jimh     
Here is another graph of horsepower as a function of engine speed for several popular engines. The source of the data was various published curves:

http://continuouswave.com/whaler/reference/graphics/150-HP_Engines.png

In a boat driven by a propeller, for a given propeller shaft speed there will be a required horsepower needed to turn the shaft. The relationship is known as the propeller power curve. In a REFERENCE section article I showed how this relationship is developed. Cf.:

http://continuouswave.com/whaler/reference/propellerPowerCurve.html

If an engine has more power available at a particular engine speed than is required to turn the propeller shaft, then it is possible for the engine speed to accelerate. The amount of reserve power determines how fast the propeller shaft speed can be accelerated. I showed this relationship graphically in that same article linked above.


The exponent of the curve of propeller power is typically between 2 and 3, and according to naval architect Dave Gerr has an average value of 2.7.

cooper1958nc posted 11-26-2009 10:43 PM ET (US)     Profile for cooper1958nc  Send Email to cooper1958nc     
I accept that figure as a fair approximation for small planing hulls operating on plane. Relative (not actual) horsepower delivered to the water at various RPM can be estimated by observed fuel flow, as sfc does not vary much at planing power settings.
jimh posted 11-27-2009 10:43 AM ET (US)     Profile for jimh  Send Email to jimh     
From the preceding discussion of the relationship between horsepower and propeller power, it occurs to me that one could deduce an approximation to the horsepower being used at a particular engine speed by plotting the propeller power curve. The basis for this would be as follows:

--operate the boat at maximum throttle, and note the engine speed obtained;

--assuming the engine speed is in the range of recommended maximum throttle speed, make the assumption that the engine is developing its rated horsepower;

--plot a curve of horsepower as a function of engine speed according to the relationship:

HP = C x RPM2.7

where HP is the engine power produced at a particular RPM, and C is chosen from

C = Rated-HP / RPM2.7

For example, if an engine is rated at 225-HP and reaches 5,500-RPM, we can deduce C from

C = 225 / 55002.7
C = 225 / 12,559,699,873
C = 0.000000017914

We then use C to deduce horsepower at other engines speeds according to

HP = 0.000000017914 x RPM2.7

For example, if we are cruising along at 3,500-RPM, the horsepower being used to turn the propeller would be approximately

HP = 0.000000017914 x (3500)2.7
HP = 0.000000017914 x 3,706,668,264
HP = 66

cooper1958nc posted 11-28-2009 04:53 PM ET (US)     Profile for cooper1958nc  Send Email to cooper1958nc     
the power required to drive a moving propeller at a given rpm depends among other things on how fast the propeller is moving. The hull drag is the constant of proportionality between propellee thrust and speed. So the formula cited above will work for certain hulls and certain speeds.
jimh posted 11-28-2009 07:22 PM ET (US)     Profile for jimh  Send Email to jimh     
Yes--the approximation I gave is for a particular hull and propeller. But it is useful to get a sense of how much horsepower your motor is producing at various RPM settings. The motor produces enough power to turn the propeller. If it produced more power than the propeller needed, the engine speed would increase.
cooper1958nc posted 12-04-2009 08:52 AM ET (US)     Profile for cooper1958nc  Send Email to cooper1958nc     
Yes, though its probably more accurate to say if the engine produces more torque than the propeller requires to turn at constant RPM under the given condition, the RPM will increase.

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