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Low rpm water wheel high horse power.

 
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Ok here goes! I need to build an over shot water wheel, head does not matter, speed does not matter. All i need to figure out is how big, wide and deep a wheel I need to get at least 70 to 80 horse power at the shaft if some one can help me with that i can build a generator system anywhere. I will explain the rest after my patent lol. Eveyone one seems to be hooked on speed or rpms thats not what you need. The wheel should be at a snails pace but geared to spin a generator at 3600 rpm. Its right here in my head but to actually work it out in the real world i need help at this point the rest is easy. Im using just the pure natural weight of the water to turn the wheel.
 
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Speed does matter, otherwise you cannot calculate POWER.

Head (meters) x Flow (litres per second) x Density (kg/litre, usually 1.0 or close) x 9.81 (m/s/s) = Power (kgm^2/s^3, or Watts)

1 W = 0.00134102209 bhp.


Let's start with an assumption. You want to make 60 horsepower by collecting rainwater. I am thinking this is where your invention is heading since you said it could be used anywhere and hadn't been patented yet. (this actually has been patented but never used for reasons you are about to see)

Head is the fall of the water, in this case the length of the lever arm of the waterwheel. Let's say your lever arm is pretty big, like 10m.

Flow is based on area of the bucket and the rainfall. Let's assume we're in the PNW and it rains 1cm in a day.

Density is given at 1.0 kg/l.

Now solve: 60 bhp = 44,742 W = 10m x 1kg/l x 9.81 m/s/s x (1cm/day /24hrs/day / 3600 s/hour x A(cm^2) / 1000 (cm^3/l))

Punch the numbers, A = 3.91 x 10^10 cm^2 = 3,916,624 square meters = 968 ACRES.

Of course, if the bucket is this large, then obviously the lever has to be bigger!

Recalculate: 968 acre bucket with a 10m lever makes no sense. Let's go with a waterwheel a kilometer high!

44,742W = 1000m x 1kg/l x 9.81 m/s/s x (1cm/day/24 hours/day/3600s/hous x A(cm^2) / 1000(cm^3/l))
A = 39,405 square meters.

Much better. So the final dimensions of the rain-harvesting waterwheel: 1000m high, with a series of buckets 100m wide and 400m long.



Humor aside, you can use the formula above to calculate dimensions of most any overshot waterwheel, or any water-powered device that does not have significant kinetic energy to harvest. If a water-powered device USES kinetic energy, such as a Pelton wheel, the calculations are different.

If you would care to share the fundamental properties of your invention, though, I would be happy to help you with the calculations.
 
Mac abees
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No not rain water, i will supply the water i just need to know how much water in the wheel i need to make 70 horse power. I know it is possible to calculate the weight of the water in the buckets of the wheel and force of gravity to create this kind of horse power. I could stand with a gallon jug at a time and pour the water in the buckets my self to make the wheel turn but i need to know how much? this is why my idea has never been used because its out of the box thinking. but thanks for your time and some of the formulas you gave me may help. And say i use a 10 bucket wheel so i know at least 4 and a half of them have water in them on one side thats alot of force. especially if each bucket holds 50 gallons so i got 225 gallons of water trying to find its way back to earth something has to move. lol
 
Mac abees
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oh ok got the head put thanks that was confusing at first.
 
Mac abees
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ok i know if the water wheel turns slow enough a pump can fill the buckets on the wheel and the generator will run the pump but it has to be worked out just right so it will sustain its self. Ive heard it cant be done but i just makes so much sense to me that i wont let up until i figure it out . im tired of paying $250.00 dollars a month to the electric company every month.
 
Dave Turpin
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So.... How is this water going to get into the bucket?

The number of buckets does not matter. Only the lever arm and the volume/time of water.

Using the above calculations, if the water wheel is 2m high, the required flow rate to make 60 horsepower is 2,280 liters per second, or 602 gallons/second. (assuming 100% efficiency, of course, I neglected efficiency in the initial calculation because I didn't want to be TOO obnoxious)

Keep in mind that 60 hp is a lot of power. That's 44,742 W, or 392 Megawatt hours / year, enough to power roughly 80 efficient homes.
 
Dave Turpin
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Mac abees wrote:ok i know if the water wheel turns slow enough a pump can fill the buckets on the wheel and the generator will run the pump but it has to be worked out just right so it will sustain its self. Ive heard it cant be done but i just makes so much sense to me that i wont let up until i figure it out . im tired of paying $250.00 dollars a month to the electric company every month.



Okay, that was what I thought.

In my experience when someone is "thinking outside the box" for power systems what they are really saying is "I don't understand or choose to ignore the basic laws of physics".

The internet is full of crackpot ideas that will never work. This one lands squarely in the crackpot "perpetual motion" or "over-unity" category.


I just saved you a lot of money from now having to make such a flawed device or trying to patent it. It is unpatentable anyway.
 
Mac abees
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Well thats why people like me end up with an idea that may or may not work but atleast we try and then thats why they are new inventions. if franklin would have listen to everyone calling him a crackpot then you wouldnt have your electricy or light bulb to start with it can be done just not with those outragous formulas rainwater x acres ? no i just need to know what it would take to make 60 horse power and a 3200 foot wheel is certainly retarded for only 60 horse power thats more like 6000 horse power. And just because you know formulas doesnt mean you know physics, just means you know how to add, thats common sense, gravity, lever and rotation simple. Is there anyone else that can help me figure this out with out being a robot?
 
Mac abees
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I need 60 horse to turn a 25k generator @ 3600 rpm
 
Mac abees
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Oh and sorry Dave you did try to help me and i appreciate that thank you very much
 
Dave Turpin
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Sigh.

Fine, build your perpetual motion machine. I am so confident that it WON'T work that I would pay a million dollars for a working prototype. Hell, make it a trillion dollars.
 
Mac abees
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lol well now its a challenge so i will be making a trillion on just a prototype YES!
and i will be taking it in big bills please.
Come on Dave obviously your smart and it can be figured out on how big a wheel i need that isnt gigantic. This is the only thing i need to get this going. asuming i got more than enough water to supply it. If you can help me with that you can keep your Trillion lol.
 
Dave Turpin
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Even if your machine didn't violate the 2nd law of thermodynamics, (if the water was supplied by a river vice pumping it yourself), there is no way around the fact that a 60 horsepower water wheel is going to be massive.

Even a Pelton making 44 kilowatts is going to be as big as a car.
 
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If you want to see what scale wheel your talking about Google Laxey Wheel on the Isle of Man. The wheel is rated at 200 hp so to get your 60 hp the same size wheel using 1/3 the size buckets and 1/3 the amount of water should give you the amount of hp you want.
 
Mac abees
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Thank you very much for the info, that just pointed me in the right direction. now to do some figuring.
 
Mac abees
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Wow thats exactly what i was looking for 3 rpm is all that wheel turns nice! So a 24 ft tall wheel, @ 2 ft wide or a 12 ft wheel @ 6 ft wide is where my calculations are taking me, Thanks again john.
 
r john
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Mac abees wrote:Wow thats exactly what i was looking for 3 rpm is all that wheel turns nice! So a 24 ft tall wheel, @ 2 ft wide or a 12 ft wheel @ 6 ft wide is where my calculations are taking me, Thanks again john.



I dont think the maths are that simple as your wheel size has a lever effect. Thats why I quoted keeping the wheel size constant.
 
Mac abees
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Well im trying to keep the height to a minimium, make it wider and bigger buckets, So far with 12' wheel 6' wide with 500 gallon buckets, 12 on the wheel so roughly 5 with water in them at all times ive got 20,850 lbs for 339,226 newton-meters or 250,200 foot pounds of torque at the shaft. is this correct?
 
r john
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This is the sort of calculation you should be doing.

http://www.waterwheelfactory.com/hp-table.htm

If you get stuck I am sure they would help you.
 
Mac abees
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Thanks r john much appreciated. if finally got the wheel size figured out so now i have to build a scale prototype.
 
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not entirely sure of everthing in this thread because i didnt read and/or comprehend have of the stuff i did read and then the math stuff just told me to take thread and send on its way right over my head!

but from i gathered youre working on a water wheel of your own deisgn in which case, even without knowing the math behind it i am all for you experimenting until you got it figured out how you want, be sure to keep up updated (hopefully with pics) when the prototype is doen and how the progress is going and all that, even if you dont figure it out, leaving the knowledge somewhere it can be found easily by others could still result in some large improvements to current designs and such
 
Apprentice Rocket Scientist
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Well, I just hope you have enough water *at the top of the wheel*, cos otherwise, you use more energy lifting it than you get back, this is where the basic physics come in... also, 3 pm on a wheel the size of Laxey is motoring , it's massive. Well worth a look at if you ever get the chance.
 
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Can you add gears to turn a small low rotation rpm into more?
 
pollinator
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Yes you can add gears to change the RPM but And its a very big BUTT you cannot increace the power.
Its all about power.

David
 
Austin Shackles
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you can use gears or belts to alter speed. It's only useful if you have a slow wheel and a fast alternator which you want to use. As David says, the power is the same (less some losses in the gears or belt). Gearing is most relevant to recycling car alternators (which are designed to run at at around 5000 rpm). Low-speed alternators tend to be expensive to buy, but probably more efficient when using a low-speed wheel. There is the point that if you have enough water flow, a big low speed wheel will make enough power that the losses in gearing don't matter.
 
pollinator
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What, wind pump into a watertower taller than your water wheel? Supplemented with solar, perhaps? Is it really windy/sunny where you are? Do you happen to build the barrel-style watertowers?

Do you know the M.C. Escher work "Waterfall?" I was thinking of something like that, but with a wicking system up the zig-zag lift, and an air and water powered pump from the bottom of the system to the top via the tower, which would be a big adobe watertower with a WOFATI-style structure and roof, if possible. And friction turbines against the mill wheel could operate hydraulic pumps to recoup braking losses when the millwheel isn't engaged.

Mine would be art, air humidification, and, mindfuckery, mostly, but not practical purpose. I am positive that there would be no net gain of energy beyond what would be harvested by solar and wind inputs.

-CK
 
Austin Shackles
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That could be fun as an art project... obviously, every time you alter the energy you lose some of it. Pumped-storage hydro only works if you have surplus energy to do the pumping, for example.

Apologies to those who already know this:

By expending that energy you increase the potential energy (due to gravity) of the water you lift, minus the losses in the pumping process. You cannot, by normal physical-chemical means, create or destroy energy, you just convert it: so you change kinetic energy in flowing water or wind into electrical energy, then you convert that to "chemical energy"* in a battery and later you convert that back to electrical energy and then convert THAT into heat, light, kinetic etc. energy. And, at every stage, you lose some of the energy due to inefficiency. Ideally, you'd convert the kinetic energy of the river or wind directly to kinetic energy to do the work you wanted done, as in a water mill or windmill.
 
james simmons
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james simmons wrote:Can you add gears to turn a small low rotation rpm into more?

decklayout.jpg
[Thumbnail for decklayout.jpg]
mower deck
 
pollinator
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James Simmons ; A late welcome to Permies, Congratulations for thinking so far 'outside-the-box', Even with over 17,000 members here at Permies we still need people
like yourself to find the opportunities that those more conventional of us will miss because we are busy explaining why we-have-always-done-it this-way !

Having said that, please take the time to re-read this whole Thread, Finding an alternator that will run at the R.P.M. you can supply will be easier than building an entire
specific system to match your Alternator/Generators speed, Its more important to match your alternator to your storage capabilities !

The more information you can share the more help we can give you ! You may want to scan the other Forum Threads in the Hydro section And contact a few members,
Like they say at "American Express'' membership has its privileges !

For the Good of the Craft! Be safe, keep warm ! As always, your comments and questions are solicited and are welcome ! PYRO - LOGICally Big AL !
 
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You may want to look at PTO drive generators for you power head. These unit are typically drive by a tractor PTO. They range in wattage from 4kw to 200kw, at 1000 to 540 RPM. Google "PTO generator". If you had a 60 rpm wheel you would only need a 9:1 induction to achieve 540 rpm. This would be more practical than trying to step up to 3600 RPM. IMO. Good luck.
 
allen lumley
pollinator
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Capt John : Welcome aboard here at Permies.com, Thank you for clearly stating a simple fact that several of us Danced around saying ! With over 18,00 fellow members you will
often find a familiar group with widely different view points, who want to talk about wait you want to talk about. Hopefully, you will be continually blest with a well turned phrase that
unites different views ! For the Good Of The Craft ! As always comments / questions are Solicited and Welcome ! Think like Fire ! flow like a Gas ! PYRO - Logically BIG AL !
 
John Braud
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Thank you Big Al.
 
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Mac abees wrote:Ok here goes! I need to build an over shot water wheel, head does not matter, speed does not matter. All i need to figure out is how big, wide and deep a wheel I need to get at least 70 to 80 horse power at the shaft if some one can help me with that i can build a generator system anywhere. I will explain the rest after my patent lol. Eveyone one seems to be hooked on speed or rpms thats not what you need. The wheel should be at a snails pace but geared to spin a generator at 3600 rpm. Its right here in my head but to actually work it out in the real world i need help at this point the rest is easy. Im using just the pure natural weight of the water to turn the wheel.





5 Dia Wheel Wire spool
2.5 Radius
5 mph Stream
50 pounds of force on the wheel is not too un-imaginable


15.707963267948966192313216916398 circumference
Since 5280 feet = 1 mile
5280/15.707963267948966192313216916398=336.13523981008294914388250824274=

1680.6761990504147457194125412137 RPH
28.011269984173579095323542353562 RPM
5.6022539968347158190647084707123 RPM = a 5 foot Dia wheel needs to turn about 5 RPM to reach 1 mph
28.011269984173579095323542353562 RPM to reach 5 Mile an Hour
125 pounds of torque = 50 x 2.5R

70 to 6 teeth 1:11.666666666666666666666666666667 (Bicycle Cog to Lawn mower sprocket)

28.011269984173579095323542353562 x 11= 308.12396982590937004855896588918
308.12396982590937004855896588918 RPM (Too low RPM)

70 to 6 teeth 1:11.666666666666666666666666666667 (Bicycle Cog to Lawn mower sprocket) again
3389.363668085003070534148624781 RPM

5.6818181818181818181818181818182 Pounds of torque If Torque is some what Hp relative, then
5 hp Minus the deficiencies of the RPM multiplier(s)

About 4,000 Watts


However, 3600 RPM is not needed (For 60cps) if a Car Alternator is used
Suggest; 800 RPM Field dependent (Stator) Low RPM is more efficient and less Cost


Also consider;
Alternator uses a electro magnetic field which is voltage variable = variable wattage output
Generator uses a perm magnetic field which is not variable = Wattage output is RPM dependent
Smaller the Wheel is the faster it will turn
Power (or wattage) is developed by Torque
When generating AC Power the only thing to consider in RPM is Cycles per second.
To get 60 CPS Most small AC Generators require 1800rpm and Lighter portables are 3600rpm



To get 80 hp my figures can be extrapolated
 
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Hello Mac abees,

To increase the efficiency of your overshot, curve the buckets to take advantage of water inflow and outflow.

Water forces on the wheel should be inflow, weight and outflow.
DRAFT.png
[Thumbnail for DRAFT.png]
 
Phil Bannon
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Phil Bannon wrote:

Mac abees wrote:Ok here goes! I need to build an over shot water wheel, head does not matter, speed does not matter. All i need to figure out is how big, wide and deep a wheel I need to get at least 70 to 80 horse power at the shaft if some one can help me with that i can build a generator system anywhere. I will explain the rest after my patent lol. Eveyone one seems to be hooked on speed or rpms thats not what you need. The wheel should be at a snails pace but geared to spin a generator at 3600 rpm. Its right here in my head but to actually work it out in the real world i need help at this point the rest is easy. Im using just the pure natural weight of the water to turn the wheel.





5 Dia Wheel Wire spool
2.5 Radius
5 mph Stream
50 pounds of force on the wheel is not too un-imaginable


15.707963267948966192313216916398 circumference
Since 5280 feet = 1 mile
5280/15.707963267948966192313216916398=336.13523981008294914388250824274=

1680.6761990504147457194125412137 RPH
28.011269984173579095323542353562 RPM
5.6022539968347158190647084707123 RPM = a 5 foot Dia wheel needs to turn about 5 RPM to reach 1 mph
28.011269984173579095323542353562 RPM to reach 5 Mile an Hour
125 pounds of torque = 50 x 2.5R

70 to 6 teeth 1:11.666666666666666666666666666667 (Bicycle Cog to Lawn mower sprocket)

28.011269984173579095323542353562 x 11= 308.12396982590937004855896588918
308.12396982590937004855896588918 RPM (Too low RPM)

70 to 6 teeth 1:11.666666666666666666666666666667 (Bicycle Cog to Lawn mower sprocket) again
3389.363668085003070534148624781 RPM

5.6818181818181818181818181818182 Pounds of torque If Torque is some what Hp relative, then
5 hp Minus the deficiencies of the RPM multiplier(s)

About 4,000 Watts


However, 3600 RPM is not needed (For 60cps) if a Car Alternator is used
Suggest; 800 RPM Field dependent (Stator) Low RPM is more efficient and less Cost


Also consider;
Alternator uses a electro magnetic field which is voltage variable = variable wattage output
Generator uses a perm magnetic field which is not variable = Wattage output is RPM dependent
Smaller the Wheel is the faster it will turn
Power (or wattage) is developed by Torque
When generating AC Power the only thing to consider in RPM is Cycles per second.
To get 60 CPS Most small AC Generators require 1800rpm and Lighter portables are 3600rpm



To get 80 hp my figures can be extrapolated





Ok, Guys, Sooooooooooo, I have a question;

Consider my above example; as a undershot five foot diameter Wheel, Dipped in a flow of water,
1 foot deep one center, one foot wide paddle and a five mile an hour flow of water.

Problem: With the exception, of load; Torque is not a constant.

Agreed we can improve efficiency, curve the buckets, Large diameter Low speed generator...

What would be the output (Wattage/Torque/Horse) Power for water speed of five Miles an hour flow?


 
Phil Bannon
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Phil Bannon wrote:

Mac abees wrote:Ok here goes! I need to build an over shot water wheel, head does not matter, speed does not matter. All i need to figure out is how big, wide and deep a wheel I need to get at least 70 to 80 horse power at the shaft if some one can help me with that i can build a generator system anywhere. I will explain the rest after my patent lol. Eveyone one seems to be hooked on speed or rpms thats not what you need. The wheel should be at a snails pace but geared to spin a generator at 3600 rpm. Its right here in my head but to actually work it out in the real world i need help at this point the rest is easy. Im using just the pure natural weight of the water to turn the wheel.





5 Dia Wheel Wire spool
2.5 Radius
5 mph Stream
50 pounds of force on the wheel is not too un-imaginable


15.707963267948966192313216916398 circumference
Since 5280 feet = 1 mile
5280/15.707963267948966192313216916398=336.13523981008294914388250824274=

1680.6761990504147457194125412137 RPH
28.011269984173579095323542353562 RPM
5.6022539968347158190647084707123 RPM = a 5 foot Dia wheel needs to turn about 5 RPM to reach 1 mph
28.011269984173579095323542353562 RPM to reach 5 Mile an Hour
125 pounds of torque = 50 x 2.5R

70 to 6 teeth 1:11.666666666666666666666666666667 (Bicycle Cog to Lawn mower sprocket)

28.011269984173579095323542353562 x 11= 308.12396982590937004855896588918
308.12396982590937004855896588918 RPM (Too low RPM)

70 to 6 teeth 1:11.666666666666666666666666666667 (Bicycle Cog to Lawn mower sprocket) again
3389.363668085003070534148624781 RPM

5.6818181818181818181818181818182 Pounds of torque If Torque is some what Hp relative, then
5 hp Minus the deficiencies of the RPM multiplier(s)

About 4,000 Watts


However, 3600 RPM is not needed (For 60cps) if a Car Alternator is used
Suggest; 800 RPM Field dependent (Stator) Low RPM is more efficient and less Cost


Also consider;
Alternator uses a electro magnetic field which is voltage variable = variable wattage output
Generator uses a perm magnetic field which is not variable = Wattage output is RPM dependent
Smaller the Wheel is the faster it will turn
Power (or wattage) is developed by Torque
When generating AC Power the only thing to consider in RPM is Cycles per second.
To get 60 CPS Most small AC Generators require 1800rpm and Lighter portables are 3600rpm



To get 80 hp my figures can be extrapolated





Ok, Guys, Sooooooooooo, I have a question;

Consider my above example; as a undershot five foot diameter Wheel, Dipped in a flow of water,
1 foot deep on center, one foot wide paddle and a five mile an hour flow of water.

Problem: With the exception, of load; Torque is not a constant.

Agreed we can improve efficiency, curve the buckets, Large diameter Low speed generator...

What would be the output (Wattage/Torque/Horse) Power for water speed of five Miles an hour flow?


 
Peter Mckinlay
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Mac abees wrote:Ok here goes! I need to build an over shot water wheel, head does not matter, speed does not matter. All i need to figure out is how big, wide and deep a wheel I need to get at least 70 to 80 horse power at the shaft if some one can help me with that i can build a generator system anywhere. I will explain the rest after my patent lol. Eveyone one seems to be hooked on speed or rpms thats not what you need. The wheel should be at a snails pace but geared to spin a generator at 3600 rpm. Its right here in my head but to actually work it out in the real world i need help at this point the rest is easy. Im using just the pure natural weight of the water to turn the wheel.



Hello Mac,

A horsepower is x poundage weight per second (see web). A gallon of water weighs 10 pounds. The time of water weight being held is when the bucket is full to start of drain out.
 
pollinator
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Peter Mckinlay wrote:A horsepower is x poundage weight per second (see web). A gallon of water weighs 10 pounds. The time of water weight being held is when the bucket is full to start of drain out.



Peter, please note that a unit of mechanical power requires a length dimension (power being energy/work per unit time, and work being force times distance). That is, it's not merely weight per second, but weight (i.e. force) times distance per second (see web: http://en.wikipedia.org/wiki/Power_%28physics%29#Units). One horsepower is defined as 550 foot pounds per second.

Also, a gallon of water weighs about 8.33 pounds: http://www.engineeringtoolbox.com/water-gallons-pounds-d_1710.html.
 
Marcos Buenijo
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Marcos Buenijo wrote:Peter, please note that a unit of mechanical power requires a length dimension (power being energy/work per unit time, and work being force times distance). That is, it's not merely weight per second, but weight (i.e. force) times distance per second (see web: http://en.wikipedia.org/wiki/Power_%28physics%29#Units). One horsepower is defined as 550 foot pounds per second.



Please note for clarification that when I write "energy/work per unit time", I mean energy (i.e. work) per unit time. That is, work is a form of energy. Specifically, in mechanical systems, it represents a transient energy where a force is transferred over a certain distance.
 
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