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A Basic Primer on Horse Power and Torque

11/30/2012 10:46 AM

The members of these forums are from all walks of life and many skill and education levels.

I have seen the need many times for a simple straight forward method of explaining Horsepower and Torque.

I will attempt to accomplish that goal here:

Power is the Rate of Doing Work

Work is the Force exerted through a distance.

One foot pound is a unit of WORK

It is the WORK performed exerting a pound of force of one pound through a distance of one foot.

The amount of WORK done (Foot Pounds) is the FORCE(pounds) exerted, multiplied by the Distance through which the FORCE acts.

The amount of POWER used (Foot Pounds per Minute) is the WORK( foot pounds) performed divided by the amount of time(Minutes required to perform the work.)

So POWER (foot pounds per minute= WORK (Ft Lbs)/TIME(minutes)

Power is usually expressed in terms of Horsepower

(I am Showing my age here with the old fashioned units Convert to Metric or ISO units if you like) I am simply telling it like I learned it.

Horsepower is POWER divided by 33000.(I will not go into the history of that unit here).

So Horsepower is also equal to WORK(Ft Pounds)/33000X Time(minutes)

OR

FORCE(lbs) x DISTANCE(feet)/33000xtime(minutes)

TORQUE is the PRODUCT of a FORCE(W) in pounds times a Radius(R) in inches from the center of a shaft and is expressed ain INCH POUNDS.

If the shaft is rotated,the FORCE is moved through distance and WORK is performed.

WORK (ft Pounds) =Wx2PiR X the number of revolutions of the shaft.

When this WORK is performed in a certain time, POWER is USED.

POWER (ft Lb.Min)= W x 2Pi R / 12X the number of shaft revolutions per minute(RPM)

Thus, since 1 HORSEPOWER = 33000 foot Pounds per minute, it is also equal to W X 2PiR/12 X RPM/33000 or WxRxRPM/63,025

BUT.......TORQUE (inch Pounds) =FORCE(W) x RADIUS(R)

Thus, HORSEPOWER (HP) = TORQUE(T) X RPM /63,025

I tried to proofread this for errors, but I may have overlooked some.Please make corrections if needed.I will not be offended in any way.Credit must go to my teachers and instructors from a bygone era for drilling the basics into my thick skull, along with some good reference materials from a Boston Gear Works Company catalog from (c)1963.

I hope some members find this information useful as they begin their journey into engineering.

HiTekRedNek

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#1

Re: A basic Primer on Horse Power and Torque

11/30/2012 11:02 AM

was there a question in that?

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#3
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Re: A basic Primer on Horse Power and Torque

11/30/2012 1:41 PM

It's irrationally subtle, but there is a little icon next to thread titles that indicate whether it's a question or a discussion.

Question vrs. Discussion

Very well written HiTek, good job!

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#7
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Re: A basic Primer on Horse Power and Torque

11/30/2012 4:59 PM

This was not a question but was entered under "start a discussion."

Seems to be working,even if it only generates humor.

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#9
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Re: A basic Primer on Horse Power and Torque

11/30/2012 7:33 PM

It's good thread. At the very least, if people bother to use the little search window to the right, it will reduce the number of redundant and dumb threads.

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#10
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Re: A basic Primer on Horse Power and Torque

11/30/2012 8:29 PM

Kramarat:

I appreciate your optimistic outlook. I'm much less confident any reduction in 'dumb and redundant' will materialize.

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#11
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Re: A basic Primer on Horse Power and Torque

11/30/2012 8:46 PM

Granted, I probably see the front page every morning before the mods are out of bed, but for cryin' out loud................even with my limited knowledge, it's just embarrassing.

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#12
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Re: A basic Primer on Horse Power and Torque

11/30/2012 9:23 PM

can we argue the speed of light next?

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#2

Re: A basic Primer on Horse Power and Torque

11/30/2012 11:10 AM

Well that sure is confusing.

I always figured that horsepower referred to how many horses it took to do a unit of work.

5HP = 5 well fed horses.

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#4
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Re: A basic Primer on Horse Power and Torque

11/30/2012 1:43 PM

Hmm, that brings in the idea of types of horse power....

...

''...This baby has 450 BDHP (Belgian Draft Horse Power) under the hood, 450 SPP (Shetland Pony Power) just wouldn't have done the trick...''

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#5
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Re: A basic Primer on Horse Power and Torque

11/30/2012 4:30 PM

I think the original word had to do with horses.

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#8
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Re: A basic Primer on Horse Power and Torque

11/30/2012 5:01 PM
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#6

Re: A Basic Primer on Horse Power and Torque

11/30/2012 4:56 PM

I guess I do need to explain the origin of the term HORSEPOWER:

A Scottish engineer named James Watt derived this term by observing the average amount of work performed by draft horses used in mining operations.It amounted to 33000 foot pounds per minute.

The mining horses were quite a bit smaller than standard horses,but the term stuck and was applied across many disciplines.

Now if he had used mules, it would have been mule power,or if camels were used to move cargo, it would have been camel power.

I am sure alien species will have a similar weird term for their power.

"HEY! How many Jabbas you got under the cowling of that space ship?"

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#13

Re: A Basic Primer on Horse Power and Torque

12/01/2012 9:03 AM

The man who would have been my Father in Law, Paul Ryder, had he lived long enough, very likely wrote that blurb. He died in 1963 and was an engineer for Boston Gear previous to his death.

Boston Gear was a family owned company at that time, and was located just South of Boston in Quincy Mass. It is quite interesting to see such a thing so many years later.

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#14
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Re: A Basic Primer on Horse Power and Torque

12/01/2012 9:51 AM

The work of a good engineer will outlive him.Even his writings will have value if they are basic and true.Such is the case here.I have had the book since 1965 or so,and it has proven to be a valuable reference even today.

Knowing a formula is more valuable if you know where the factors originate, and an error can be quickly recognized if it does not"look right". But it takes an innate and intimate understanding of the formula to develop this "gut Feeling"

Mr Ryder lives on, and I believe he stirs kindred spirits to reveal his presence.

Perhaps I have preserved his memory and mentality in some fashion here.

Merry Christmas!, or what ever may be your holiday forthcoming.

HiTekRedNek

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#15

Re: A Basic Primer on Horse Power and Torque

12/01/2012 1:35 PM

Good information is always welcome.

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#16

Re: A Basic Primer on Horse Power and Torque

12/01/2012 3:38 PM

A pound-foot (lb·ft or lbf·ft) is a unit of torque (a vector). One pound-foot is the torque created by one pound force acting at a perpendicular distance of one foot from a pivot point.

One pound-foot is exactly 1.3558179483314004 newton meters.

The name "pound-foot", intended to minimize confusion with the foot-pound as a unit of work, was apparently first proposed by British physicist Arthur Mason Worthington. However, foot-pound (ft·lb or ft·lbf) is also sometimes used interchangeably with "pound-foot" to express torque.

From Wikipedia

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#17
In reply to #16

Re: A Basic Primer on Horse Power and Torque

12/01/2012 4:19 PM

that confused meI thought you just kept pulling on the wrench til it "clicked

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#19
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Re: A Basic Primer on Horse Power and Torque

12/01/2012 5:14 PM

Don't be silly, if they wanted you to pulll on it manually, the unit would be called something like a 'Yank-Hand'.

Anything labled 'Pound-Foot' is obviously instructing you to kick it.

(alternately 'Pound-Feet' is specifying much more commitment for proper operation)

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#18
In reply to #16

Re: A Basic Primer on Horse Power and Torque

12/01/2012 5:10 PM

I deliberately stayed away from pound-feet to prevent confusion with foot pound.

I stated the radius in inches and inch pounds in my description to avoid the often confused similarity between foot pound and pound feet.

In Russia, they use another unit called "Shoe Pound" which is a vector of a shoe pounding on a desk from a specified height at a certain repetition rate.The unit has been renamed in honor of Nikita Kreuschev as K POUNDS

You may or may not remember the incident to which I refer,(1960) but I am sure someone on this forum will.

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#20
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Re: A Basic Primer on Horse Power and Torque

12/01/2012 5:17 PM

Never threaten with a shoe, to do a shovel's job.

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#21

Re: A Basic Primer on Horse Power and Torque

12/03/2012 12:20 AM

There are some unnecessary inconsistencies in units in this description.

It is a common convention (in the US) to describe torque in lb-ft and work in ft-lb. Suggesting that inches somehow apply to torque but feet apply to work confuses the issue. For Joe average in the US, the most often quoted torque (that of automotive engines) is measured in lb-ft. Torque wrenches read in lb-ft, unless they are for use by sissies on very small screws.

Thus the HP formula is more often seen like this:

HP = lb-ft x rpm /5252.

Thinking in these units has the advantage that 5252 is easier to remember than a figure 12 times as big. It also means that when looking at a dyno chart, the HP and torque numerical values are always the same at 5252 rpm. So even if you forget the easy-to-remember number 5252, you can look on a dyno printout to refresh your memory.

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#22
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Re: A Basic Primer on Horse Power and Torque

12/03/2012 3:57 AM

You make some valid points, especially if talking about automotive engines.What if you are talking about gear boxes and calculating pulley or gear sizes,where the pulleys are measured in inches(or millimetrs,etc)?

You will find most electric gear reducers rated in inch pounds(or metric equivalent) of torque, as it is most convenient to calculate pulley sizes.

The information I gave is valid regardless of the area of usage,as is yours, but a conversion has to be made regardless if you are changing the application from one field of endeavor to another.

Once you become accustomed to the calculations in your field, they become automatic and instinctive.

Remember, this is a PRIMER,not a full blown encyclopedia, and I did not attempt to cover all possible permutations of measurement units.

If the terms are unfamiliar to you, feel free convert to more comfortable units, as I indicated in the text

As for inch pounds, there are used when adjusting critical components, as in automatic transmissions,instrumentation, etc., and special torque wrenches are made for such applications.Of course,being an automotive oriented person, you already know this.

I also have experience in automotive, and I built an 11 second 1/4 miler back in the 60's,using the now impossible to find Z28 302 Camaro engine, and yes, foot pounds were common terms.

My field of experience has grown over the last 50 years to include many areas of mechanics and electronics,pneumatics, and hydraulics,and unit conversions are a routine thing.We did not even use the metric system at all in the 1960's,so when I think metric, I have to mentally convert to English units to get a mental"feel" for what the unit is, unless it is a unit I use regularly.Such as: .03937 x5 x last 2 digits of a ball bearing will give the shaft size for a press fit of that bearing in inches.Do you carry that number around in your head?I do. Just like you do with 5252.

I have seen a 1/16 hp electric gearbox motor pull 1/2 anchors out of a concrete floor,and it's output was rated in inch pounds.Definitely not a sissy.Of course the speed was almost like a clock motor.

I am sorry you are confused by the use of this term which is unfamiliar to you,however it may be common to other users.I cannot speak for every Joe Average in the USA,because I do not presume to know their mind,but they too are free to convert as they please.

To each his own

Don't worry,be happy!

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#24
In reply to #22

Re: A Basic Primer on Horse Power and Torque

12/05/2012 1:33 AM

Remember, this is a PRIMER,not a full blown encyclopedia, and I did not attempt to cover all possible permutations of measurement units.


That is why I brought up the distinction. If one says, to someone who slept through high school, that torque is measured in inch-pounds and work is measured in foot-pounds, then that person could assume that the difference between work and torque has something to do with the difference between inches and feet -- which is of course completely wrong. My point was not that you were incorrect in your math, but instead that it is poor instruction technique for a primer. An instructor would not, for an audience needing a PRIMER, say that torque is measured in newton-meters and work is measured in oz-inches. Although both assertions are correct (if one ignores the word order convention), it does not aid instruction.


The other issue, the ft-lb vs lb-ft distinction is one that is more subtle, but used to be observed by virtually all engineers and every physics teacher. In a PRIMER, maintaining the distinction is helpful, because it highlights the fact that torque and work are completely different concepts.


If you were providing a primer on electrics, you would not (I hope) use VA and Watts interchangeably, because they have different, specific meanings, despite both being the product of volts and amps. The reason teachers are "pedantic" is that they don't want to start bad habits by encouraging sloppiness with terms. Once you know this stuff, you can often figure out if 500 ft lb means work or torque from the context. But if you already know this stuff, you don't need a primer.


So, my point is that in a PRIMER (in which the intent is to be instructive) it is good to use the correct terminology. There will be plenty of time later in life for becoming sloppy.


Happiness to you too.

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#25
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Re: A Basic Primer on Horse Power and Torque

12/05/2012 8:03 AM

Please feel free to submit your own version as it should be, ATF (According To Fry)

I will not be offended or insulted in any way,and will welcome the corrections and illumination of my erroneous methods, although I would appreciate feedback from a beginner that is just getting his feet wet in the engineering discipline.I will not assume or presume how they will intepret the knowledge as I presented it.I am not a teacher.I would fall short in many areas of that endeavor.I hope I have not muddied the water for beginners.

By the way, here is a link to gearmotors,where inch-pounds is the normal specification.

There may be more gearboxes in the world than gasoline engines.

http://www.bisongear.com/category.asp_Q_catID_E_1

Who knows which field of endeavor a newbie will pursue?

Only a psychic could know.

6 of 1; 1/2 dozen of the other I say.

I constantly ask myself every day,when faced with a problem:WWFD?

"What Would Fry Do?"

PEACE! Live long and prosper.

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#23

Re: A Basic Primer on Horse Power and Torque

12/03/2012 10:10 AM

HT has the formula down and despite a few terminology variences due to application, the numbers don't lie. Still there seems to be some confusion betwe foot pounds and pound feet which I think I can clear up. See below.

Foot pounds

Pounds Feet

See, not that hard after all. (wink wink nudge nudge)

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