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Posted by: robertedelong ®

11/06/2006, 11:38:32

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2000 foot pounds of constant energy turning a generator shaft at 60 RPM will produce X kilowatt hours; (in one hour)

I have received the following answers (some from those who charge for their help):

A. 2.7 KWH
B. 1510 KWH
C. 9720 KWH
I am very confused and need your input.








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Re: Multiple Choice
Re: Multiple Choice -- robertedelong Post Reply Top of thread Forum
Posted by: scalarcharge ®

11/17/2006, 08:12:49

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From Machine Design Second Edition by Anthony Esposito and J. Robert Thrower, Delmar Publishers. ISBN: 0-8273-4081-8

Horsepower=Tn/63000
Where:
T=torque in pound-inches
n=rotational speed in revolutions per minute

**********

From Applied Fluid Mechanics Sixth Edition by Robert L. Mott, Pearson Prentice Hall. ISBN: 0-13-114680-7

Conversion factor: 745.7W/Hp

***********

So:

2000 lb * ft X (12in / ft) = 24000 lb * in

24000 x 60 / 63000 = 22.86 Hp

22.86 Hp x (745.7W / Hp) = 17044.6 W = 17.04 kW (This is power)

if ran for 1 hour the energy output would be 17.04 kW-Hrs

if ran for one day, the energy output would be 409 kW-Hrs
(17.04 x 24)


Right?

EDIT
...and *then* factor in the efficiency of your generator. The above is just the power supplied *to* the generator.







Modified by scalarcharge at Fri, Nov 17, 2006, 13:05:40


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Re: Multiple Choice
Re: Multiple Choice -- robertedelong Post Reply Top of thread Forum
Posted by: leonardo ®

11/17/2006, 04:42:05

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1 lb = 0.4536 kg
1 ft = 0.3048 m

power = (torque) x (angular velocity)

torque = 2000 * 0.4536 * 0.3048 * 9.8182 = 2714.9 Nm

in the above I multiply for 9.8182 to convert from kgf to N

angular velocity = (2*PI*n)/60 = 2*3.1415*60/60=6.2831 rad/s

power=6.2831*2714.9 = (circa) 17052 W = 17,05 kW

so the energy delivered in 1 hour is about 17,05 kWh








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Re: Multiple Choice Smile
Re: Multiple Choice -- robertedelong Post Reply Top of thread Forum
Posted by: cakub ®

11/15/2006, 17:43:40

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Correct result is 17.038kW-hr. One wat drawn from the source during one hour makes one kilowatt-hour of energy.







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Re: Re: Multiple Choice
Re: Re: Multiple Choice -- cakub Post Reply Top of thread Forum
Posted by: cakub ®

11/21/2006, 18:07:18

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Ihave to correct a misspel.Instead of "...One wat drawn from the source during one hour makes one kilowat-hr of energy"

Correct result is 17.038kW-hr. One kiloWatt of power drawn from the source during one hour makes one kilowatt-hour of energy.

The real power available depends on the energy conversion efficiency. It is always smaller then one. Thus your generstor will generste less then 17.038 kW-hr.








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Re: Multiple Choice
Re: Multiple Choice -- robertedelong Post Reply Top of thread Forum
Posted by: blakes30 ®

11/07/2006, 15:29:11

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it is 17.038 kW-hr

Power (in hp) = (torque x angular speed) / 5252

which gives us 22.85 hp (do the math yourself)

now convert 22.85 hp to W = 17,038 Watts or 17.038kW-hr








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Re: Re: Multiple Choice
Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: Administrator ®

11/09/2006, 14:57:05

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Posted on behalf of robertedelong.

Good day to you; I am working a a project that requires engineering expertise. The question that is posted has been asked 6 or seven times (once on your forum) I have received 7 different answers; I don't just mean a few numbers apart but some are as far apart as the sun and the earth; after receiving the response on your forum I finally contacted an "expert" on the ###### website and paid him $20 for an answer; here is what was returned to me:

Given,
Torque T = 2000 ft lb
Speed, R = 60 rpm

The above value of torque is in ft lb. To get the value in metric units, we need the following conversion values:

1 ft = 0.3048 m
1 lb = 4.45 N

Therefore, the value of torque in metric units is:

T = 2000 * 0.3048m * 4.45 N
i.e T = 2712.72 Nm

Similarly, the given speed R is is in rpm. To get the value in metric(rad/s) we need the following conversion values:

1 rpm = 2*PI/60 rad/s [Where PI = 3.14]

Therefore, the value of speed in metric units is:

R = 60*2*PI/60
i.e. R = 6.28 rad/s

Now, to get the power generated by the generator, we use the following formula of power:

Power = Torque*Speed
i.e. P = T*R
i.e. P = 2712.72Nm * 6.28 rad/s
i.e. P = 17035.8816 Nmrad/s
i.e. P = 17035.8816 Joule/s [The unit for energy is Joule]
i.e. P = 17035.8816 Watts [Joules/s = Watts]
i.e P = 17.036 KW [1KW = 1000 Watts]

The above vale of P is the power generated by the generator in one second. To get the power generated by the generator in one hour, we need to multiply the above value by 60.

Therefore,
X = P*60
i.e. X = 17.036*60 KWH
i.e. X = 1022.16 KWH [ANSWER]

I don't know is this is correct or not however I do not want to make a big splash or tell someone they are wrong on your forum. How would you suggest I approach this to get the final and correct answer?

Thanks for your help

BOB







Modified by Administrator at Thu, Nov 09, 2006, 14:57:42


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Re: Re: Multiple Choice Question
Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: scalarcharge ®

11/09/2006, 07:22:54

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Just for kicks...

Would you need to account for the efficiency of the generator?







Modified by scalarcharge at Thu, Nov 09, 2006, 07:38:24


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Re: Re: Re: Multiple Choice
Re: Re: Re: Multiple Choice -- scalarcharge Post Reply Top of thread Forum
Posted by: blakes30 ®

11/09/2006, 09:30:40

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yeah, why not

just assume 80% efficiency?

or roughly 13.5 kw-hr








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Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: blakes30 ®

11/09/2006, 16:14:15

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Robert---you are ALMOST there.

You got exactly what i did... 17.036 kW of power (look at my earlier post). But, when you tried to call it a kilowatt-hour, that's where your assumption is wrong. I think the definnition of a kW-hr might help.

kilowatt-hour
"The work performed by one kilowatt of electric power in one hour. The unit on which the price of electrical energy is based. A 1000 watt light bulb operating for one hour would use one kWh. A measurement of energy. One kilowatt hour is equal to one kilowatt being used for one hour"

So there we have it---17.036 kW produces just that, 17.036 kW per hour.

Your friend was confused with the fact that a Watt is measured in Joules per second.

So the answer can be termed either A.) 17.036 kW-hr or B.) 61,329,600 Joules

one more quote from wikipedia might help
Definition
One watt-hour is the amount of electrical energy equivalent to a one-watt load drawing power for one hour. This is equivalent to 3,600 joules, the joule being the SI unit of energy. Thus a kilowatt-hour is 3,600,000 joules or 3.6 megajoules.

For example, a 60-watt light bulb uses 60 watt-hours of energy every hour. Similarly, a 100-watt light bulb uses 100 watt-hours in an hour. The kilowatt-hour is usually used by U.S. power companies to measure power usage, so a rate of US$0.10 per kilowatt-hour will cost US$0.10 to run a 1,000-watt light bulb for one hour. Similarly UK power companies define 1 unit of electricity as 1 kilowatt-hour, which costs anywhere between 4 and 20 UK pence depending upon tariff.







Modified by blakes30 at Thu, Nov 09, 2006, 16:35:45


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Re: Re: Re: Re: Re: Multiple Choice Angry
Re: Re: Re: Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: robertedelong ®

11/09/2006, 17:14:59

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OK everybody; Thanks for you help so far; so now lets look at the multiple choices I've gotten so far:

A. 2.7 KWH
B. 1510 KWH
C. 9720 KWH
D. 17.038 KWH
E. 1022.16 KWH

Seems to be a lot of confusion. I reached the point where I've decided if I can get THREE people to answer the same I will go with that answer. So far NO ONE agrees.

Any other contributors?








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Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Multiple Choice -- robertedelong Post Reply Top of thread Forum
Posted by: blakes30 ®

11/09/2006, 17:19:41

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did you read what i posted?

math and physics are beautiful because they are perfect. Numbers are exact!!!!!!!

Plug the numbers in for yourself. You have the right answer, i posted it with a very long drawn-out description of exactly why and how i got the correct answer. I would suggest you start with learning what a Joule is and then what a Watt is. Energy vs Power. kw-hour is actually a misnomer. It is a measure of energy, not power. If you multiply a watt, by time, you are back to energy.

Don't trust me, plug in the numbers for yourself. YOU ultimately won't be satisfied until YOU get the answer.








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Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: robertedelong ®

11/09/2006, 19:56:32

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Yes I read what you posted; Did you ever go to a doctor and get one opinion about your condition; then to another and another opinion; then to a specialist and still another opinion; then to a chiropractor and still another; that's exactly what has happened here; If this is such a "carved in stone" principle why do I have 6 different answers; I need two more of your profession to agree;

This is not an argument for the sake of argument; this is a critical question; Does it not seem odd that no one agrees and yet everyone who has answered so far is an engineer.

I have sent a copy of your explanaation to the others; we'll see how they answer/








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Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- robertedelong Post Reply Top of thread Forum
Posted by: Zip ®

11/12/2006, 23:36:24

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22.85 H.P.= 17.023 Watts not Kw's friend.

R.P.M. is R.P.M. Metronic or Jolly olde English





Zip


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Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- Zip Post Reply Top of thread Forum
Posted by: blakes30 ®

11/16/2006, 16:51:01

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are there really that many --------- engineers out there???

22.85 hp does NOT equal 17.039 Watts (----------------------------------)

the answer, is exactly what i said it was
22.85 hp = 17,039 Watts
since there are 1,000 Watts in 1 KiloWatt, that is 17.039 kW
and he wants it per kW-hr

Admin: Ahem, you might want to re-read the forum policy for EE blakes30.







Modified by Administrator at Thu, Nov 16, 2006, 17:36:48


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Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: Zip ®

11/18/2006, 23:05:36

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TOUCHE!! Looks like I'm the ---A ---!





Zip

Modified by Administrator at Sun, Nov 19, 2006, 08:48:24


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Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- Zip Post Reply Top of thread Forum
Posted by: Zip ®

11/20/2006, 23:37:24

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.01703 KwH
KwH = Watts x Time over 1000





Zip


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Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- Zip Post Reply Top of thread Forum
Posted by: blakes30 ®

11/21/2006, 10:42:59

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nope--wrong again

kilowatt-hour
"The work performed by one kilowatt of electric power in one hour. The unit on which the price of electrical energy is based. A 1000 watt light bulb operating for one hour would use one kWh. A measurement of energy. One kilowatt hour is equal to one kilowatt being used for one hour"








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Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: Zip ®

11/22/2006, 00:11:59

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1000 watt bulb times one hour divided by 1000= one




Zip


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Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
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Posted by: blakes30 ®

11/22/2006, 09:35:15

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I'm curious to know what answer the author of this thread went with????








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Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice
Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Re: Multiple Choice -- blakes30 Post Reply Top of thread Forum
Posted by: Zip ®

11/24/2006, 00:29:45

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So am I.




Zip


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Posted by: robertedelong ®

12/09/2006, 09:21:51

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Well Gentlemen:

Thank you all for your contribution; I certainly meant no disrespect by doubting the early responses I received;

I said I would go with a majority answer and I will; You all were able to muster up at least three people who agreed;

I have an ongoing project that requires accurate data and you all have helped a lot.

I hope you won't mind helping again in the future.

Seasons Greetings








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