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Calculating kWh for Lifting 2 Tons to 5m with a Gravity Accumulator Design

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How can I calculate how many kWh it takes to lift a 2-ton load to 5 m, and is a gravity accumulator like this practical?

Use the potential-energy formula E = mgh: for 2000 kg lifted 5 m, that is 2000 × 9.81 × 5 = 98,100 J, which equals 0.02725 kWh [#5381606] If you include conversion losses, one reply estimated a realistic electrical output of only about 10.9 Wh after assuming roughly 50% alternator efficiency and 20% mechanical losses [#5384881] The consensus is that this is a very small amount of energy, so building such a system on a plot would cost far more than the energy is worth; one reply compared it unfavorably even with a car battery [#5381606][#20473953] Another point made is that gravity storage only makes sense at much larger scale, such as pumped-storage plants, not a 2-ton counterweight on ropes [#20473953][#21117729]
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  • #61 21183318
    jarek_lnx
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    Staszek_Staszek wrote:
    For the dimensions of the tower as in the article, you could fit there, for example, a concrete cylinder with a radius of 30 metres and a cylinder height of 60 metres.
    The mass is almost 8000 tonnes.
    I guess I got something wrong almost 170,000 m3 or a mass of 440,000 tonnes
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  • #62 21183357
    Staszek_Staszek
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    jarek_lnx wrote:
    I think there is something wrong
    .
    Right, I corrected the calculation.
    I have now come up with 174655 kWh.
    Dividing by 10 kWh per house and assuming that the heating season is 100 days, it comes out ≈ 175 houses can use such an accumulator during the low RES season.
    I attach the file just in case.
    It is difficult to count such unusual figures for me.
    By feel, I did not notice such a large error.
    Attachments:
    • Energia wysokości.xlsx (5.63 KB) You must be logged in to download this attachment.
  • #63 21183445
    jarek_lnx
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    This is still nothing, assuming the steel can withstand 250MPa you would need a rope of over 17m2 :) .
  • #64 21184107
    vodiczka
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    For simplicity's sake, we assume there will be two blocks /one in each tower/ but these blocks can be a dozen in one and the cross-section of the rope will not be the biggest obstacle.

    Here is my calculation:

    1/ Energy requirement for 30,000 homes for 7 hours.

    30,000 x 10 kWh/24h x 7/24 =87500 kWh = 87.5 MWh. .

    2/ Mass of concrete needed to store this energy, calculated in the calculator from the link https://www.calculatoratoz.com/pl/potential-energy-calculator/Calc-280?FormulaId=280
    Assuming a level difference of 200m (practically much less because the concrete block is not flat as a pancake) the mass of concrete should be 160713 tonnes. When divided into two towers, this gives a rounded "weight" of 80356 tonnes in one tower .

    Staszek_Staszek wrote:
    For the dimensions of the tower as in the article, for example, a concrete cylinder with a radius of 30 metres and a cylinder height of 60 metres could be accommodated there.
    The mass is almost 8000 tonnes.
    .
    Unfortunately a colleague gave an incorrect result, which he admittedly corrected but only in his next post. I calculate further, assuming a concrete density of 2.4 tonnes/m³
    A mass of 80356 tonnes will therefore occupy a volume of 33482 cubic metres.

    Assuming as Staszek_Staszek the radius of the cylinder is 30m then its height must be about 12m.
    I apologise to anyone interested in the subject for the erroneous conclusions I drew from a colleague's miscalculation and posted here and removed after editing my post.
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  • #65 21184252
    Staszek_Staszek
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    vodiczka wrote:
    Staszek_Staszek wrote:
    Staszek_Staszek wrote: For the dimensions of the tower as in the article, you could fit for example a concrete cylinder with a radius of 30 meters and a cylinder height of 60 meters.
    The mass is almost 8000 tons.
    .
    This result was underestimated by me by about 60 times.
    I did not use the mouse to reach the cell where the height of the concrete cylinder was.
    I corrected this later.

    Of course it doesn't have to be concrete at 300 zeta per cubic metre.
    Someone can pick the sand and somehow carry it up there in portions, it doesn't change the fact that they are declaring the construction of an expensive tower.
    vodiczka wrote:
    Or a journalist from the Olawa newspaper added one zero in the number of houses
    .
    Journalists, in order not to be held responsible for erroneous or false information, usually make use of citing someone.
    vodiczka wrote:
    Or the head of Promet Plast is selling another fiction to arouse the interest of investors.

    Arguably, it has a purpose.
    Bosses of big companies now often announce some miracles on a stick.
    E.g. Toyota's CEO says he is betting on hydrogen-powered engines.
    Hydrogen has been known to mankind for a long time.
    In 1671 Robert Boyle was making hydrogen and although he didn't know what it was, he found out that it burns nicely but is kind of 'disobedient'.
    Hydrogen is so 'difficult' to maintain that still those who don't consume it almost immediately buy themselves electrolysers instead of hydrogen in bottles.
    Of course, it is possible to produce hydrogen on an ongoing basis, even overnight, at 'gas stations'.
    But this would not be a commodity but a service.
    If the driver doesn't 'drive off' this fuel immediately after refuelling, it will simply escape.
    This could be a solution for transport companies, however more expensive than petrol.
    When forced to do so, companies will swallow the frog, and the costs of replacing tanks, engines and refuelling will be charged to them.
    At the end of this chain will be the average person, who no longer has anyone to pass on his expenses to.
    Of course, there is some room for such money flows; part of society has more money than it can sensibly consume.
    It is such a "beautiful game" and from an economic point of view it has a right to work.
  • #66 21184274
    vodiczka
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    Staszek_Staszek wrote:
    This result was underestimated by me by about 60 times.
    I wish you had corrected in the same post where you made a mistake and I bought your result instead of counting it myself.
    I corrected my post #64 and the journalist didn't get the zeros wrong.
    These two towers can provide power to 30,000 homes for 7 hours.

    Added after 1 [hour] 3 [minutes]:

    The remaining question is how much power should these gravity batteries give out?
    With an even load for 7 hours, the achievable power from the towers should be 87.5 MWh/7h = 12.5 MW but with an uneven load 15 MW or more. For comparison - the Jeziorsko Hydroelectric Power Station has two turbine sets, each with a capacity of about 2 MW. It is located on the right bank of the Warta River in the immediate vicinity of the weir and head dam of the Jeziorsko reservoir.
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  • #67 21185384
    vodiczka
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    Further dotting the i's that is, the descent time of the concrete block assuming it will be a monolith and not an assembly of a dozen blocks in one tower.
    The available fall height is 180m /180000mm/ because, with an efficiency of 80 per cent, the concrete block must be about 15m high and not, as I calculated for lossless operation, about 12m. Its fall time is 25,200 seconds if the block is to yield energy for a full 7 hours. The fall speed will be 180000mm/25200s = 7.14 mm/s, much too little to directly drive a power generator.
  • #68 21185455
    Staszek_Staszek
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    vodiczka wrote:
    The dot over the i is the concrete fall time...
    .
    I made these calculations - an estimate I made for "gymnastics" and I don't see the point of counting anything in detail there.
    In my opinion the dot over the i will be when the planning permission is revoked.
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  • #69 21185469
    jarek_lnx
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    It would be more interesting if someone counted what is necessary to erect such a structure - foundations, walls.
  • #70 21186124
    vodiczka
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    Staszek_Staszek wrote:
    My view is that the dot over the i will be when the planning permission is revoked.

    The descent time I raised in post #67 is very important and gears that adjust the descent speed of the weights to the speed of the power generators may be the biggest technical problem to solve.
    jarek_lnx wrote:
    It would be more interesting if someone counted what is necessary to erect such a structure - foundations, walls.
    If from a technical point of view this is a possible solution then the economic question of this project remains. It is possible that the accumulation of panels, windmills and gravity storage in one place makes more than just propaganda sense. Nonetheless, I view the attempt to demonstrate that "a Pole can do it" positively, just as I view the creation of the new Unitra.
    The foundations must be solid, but the walls not necessarily. The weights can be hung on the pillar structure and the walls only have a shielding role.
  • #71 21186172
    jarek_lnx
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    vodiczka wrote:
    Since from a technical point of view this is a possible solution then the economic question of this project remains.
    .
    Fact, just about economics, when lifting 1m3 of concrete to a height of 150m we will accumulate 1kWh this is already much better than the question in the first post - 5m. 1m3 of concrete is about 300zł, so after a thousand cycles it will pay for itself, the question remains how much concrete will be consumed by the supporting structure and what will be the cost of electrical equipment.

    Added after 2 [minutes]: .

    vodiczka wrote:
    Nevertheless, I view the attempt to show ''Pole can do'' positively, as does the creation of the new Unitra.
    Experimentation showing that something doesn't make sense, also makes sense :)
  • #72 21186212
    vodiczka
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    Andrzej Jeżewski explains; "The Gajowa Hill is a laboratory for future Polish energy. This is where different solutions are tested in order to select the best ones for use elsewhere. And in this we are pioneers.''

    If it experimentally proves that gravity batteries don't make economic sense then your words will become flesh
    jarek_lnx wrote:
    An experiment demonstrating that something doesn't make sense also makes sense :)
    If it experimentally proves that they make sense then I will change my opinion of them.
    A well designed and well built gravity battery should last a minimum of 50 years, at one cycle per day this will give 18250 cycles.
  • #73 21186247
    jarek_lnx
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    I thought that if they were doing it themselves with their own money they might have found a way to make it make sense economically, yet it's business as usual, they're pulling out the cash:
    https://promet-plast.pl/fundusze-unijne/
  • #74 21186438
    vodiczka
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    I have read that it is not just one weight in the tower, but many; "You have to manually pull up the weight, which then, by falling down for many hours, using various gears, starts the clock mechanism. In very simplistic terms, this is how the first kinetic energy storage facility of its kind in Poland, which is currently under construction in Oława Grove, is supposed to work. Only that we are not dealing with one weight, but many , placed on transport trolleys. And each such block weighs up to several tens of tonnes" .
    - full article https://www.tuolawa.pl/artykul/29686,ruszyla-...itacyjnego-magazynu-energii-rusza-tez-protest

    Another doubt arises . If a single block is to weigh several tens of tonnes, let's assume 80 tonnes, then there would have to be around 1,000 of these blocks in a single tower. The same number of trolleys and guides on which these trolleys will move. Will 1,000 lifts fit into an area of 2,826m², which is about 2.8m² per lift, and where is the access for inspection and maintenance?

    However, I think the journalist added one zero to the number of houses that this battery could power for 7 hours.
    The figure of 3,000 homes sounds more realistic than 30,000 and the energy required would then be 8.75 MWh, instead of 87.5 MWh.
  • #75 21186549
    Staszek_Staszek
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    jarek_lnx wrote:
    and yet it is as usual, they are pulling out the cash:
    .
    The day before yesterday I read about this and that is why I have already stopped thinking about it.
    It is obvious that from an economic point of view traditional pumped storage power stations should stand, but officials
    are not bound by the rules of economics.
  • #76 21186558
    sigwa18
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    But it's like those FREE ENERGY generators from youtube. So what if there are PV panels and wind generators from aliexpress or even from washing machines (BLDC motors). They work, they generate electricity, but there is no WOW effect. Peak-pump power plants were already in use in communist times, so there is nothing new to discover. And here there are huge mystical weights, towers etc. If we glaze it or give it plexiglass, illuminate it with RGB, paint the weights with silver or rich gold and people will come to pray to it and maybe it will even generate electricity.

    The truth is that pumped storage needs a lot of terrain plus elevation difference. Typically some small mountain and we occupy the top plus the foothills (for two lakes). Probably some forest would have to be cut down, so environmentalists will probably get involved to pin down the trees, or worse, buy them out.
  • #77 21186578
    vodiczka
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    sigwa18 wrote:
    And here great mystical weights , towers etc.. Still glaze it or give plexiglass illuminate the weights RGB paint silver or rich gold and people will come to pray to it and maybe even generate electricity.
    .
    It is possible that school trips but also other tourists will pass through, just as they come to Świebodzin.
    The towers when they gather energy will generate it, there is no deception here. The fraud consists in remaining silent about the time it will take for the investment in the gravitational battery to pay off, if it pays off at all, vide the Vistula Spit diversion.
  • #79 21194142
    Staszek_Staszek
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    They wrote that
    Quote:
    ...The Rudong and Zhangye projects have been designated as new energy storage demonstration pilot projects by China's National Energy Administration...

    https://www.pv-magazine.com/2024/03/07/energy...scale-gravity-energy-storage-system-in-china/
    So I understand that the government since they appointed it probably paid for it.
    However I guess they want to make money out of it though because:
    Quote:
    ...In February, Energy Vault signed a 10-year agreement to deploy its energy storage tech across the 16 nations of the Southern African Development Community region.

    Quote:
    ...In February, Energy Vault signed a 10-year agreement to deploy its energy storage technology across 16 countries in southern Africa...
    .
    meaning they intend to sell the technology.
  • #80 21195115
    vodiczka
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    Staszek_Staszek wrote:
    they intend to sell the technology.

    Rather, they intend to make African countries bamboozled for 10 years. With the high level of corruption there, this is achievable.

Topic summary

✨ The discussion revolves around calculating the energy required to lift a 2-ton load to a height of 5 meters using a gravity accumulator design. The primary formula provided is E = m * g * h, resulting in approximately 0.02725 kWh of potential energy. Various responses critique the feasibility and efficiency of such a system, suggesting alternatives like flywheels for energy storage and highlighting the low energy yield from the proposed design. Concerns about the longevity and maintenance of mechanical systems, as well as cost-effectiveness compared to traditional energy storage methods, are also raised. Some participants advocate for the potential of gravity-based energy storage, citing historical examples and modern implementations, while others remain skeptical about its practicality and economic viability.
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FAQ

TL;DR: Lifting 2 t by 5 m stores just 0.027 kWh; “the amount is ridiculously small” [Elektroda, Rzuuf, #5381606; Madrik, #5383200]. DIYers eyeing gravity batteries get formulas, cost math, and safer options below.

Why it matters: Over-estimating stored energy can waste thousands on oversized rigs.

Quick Facts

• Core formula: E = m · g · h → 1 t · 1 m ≈ 0.0027 kWh [Elektroda, Rzuuf, post #5381606] • 2 t × 5 m = 0.027 kWh—22× less than a 12 V 50 Ah car battery (0.6 kWh) [Elektroda, Rzuuf, post #5381606] • Pumped-storage plants hit 65–85 % round-trip efficiency [Elektroda, bemx2k1, post #21067227] • Grid price: 0.5 PLN / kWh → lifting 2 t 5 m costs ≈ 0.013 PLN [Elektroda, stomat, post #5384087] • A 12 V 120 Ah lead-acid (1.44 kWh) equals dropping that same battery 16.5 km [Elektroda, sigwa18, post #21118857]

How do I convert lifting a mass into kilowatt-hours?

Use E = m · g · h. Plug mass (kg), gravity (9.81 m/s²) and height (m). Result is joules; divide by 3 600 000 to get kWh [Elektroda, Rzuuf, post #5381606]

Is a gravity accumulator cheaper than a car battery?

No. A 50 Ah car battery holds 0.6 kWh—over twenty-two times the energy for less material cost [Elektroda, Rzuuf, post #5381606] Building steel frames, pulleys, and safety stops quickly exceeds the battery price.

How efficient are large-scale gravity systems?

Pumped-storage plants reclaim 65–85 % of input energy [Elektroda, bemx2k1, post #21067227] Solid-block towers lack water’s low friction, so published pilots target only 50–70 % round-trip efficiency (Energy Vault Tech Brief).

Can I harvest power from free-falling weights?

No. A true free fall ends in a "loud bumm" with zero useful output [Elektroda, Quarz, post #5384905] Generators must regulate descent, trading speed for recoverable torque.

How does a flywheel compare?

Spinning a 200 kg flywheel to 50 rpm holds more energy than the 2 t/5 m lift and delivers it faster [Elektroda, Nardis, post #5382969] Flywheels reach >90 % efficiency but need vacuum housings and magnetic bearings (IEEE Spectrum, 2023).

How long would a 2 t block power a 100 W lamp?

Stored 27 Wh lights a 100 W bulb for about 16 minutes, assuming ideal conversion; real losses cut that closer to 10 minutes [Elektroda, Paweł Es., post #5384881]

What materials work best for DIY gravity storage?

Water in a raised tank is cheapest and self-levelling [Elektroda, Pietro54, post #5383573] Concrete blocks add density but demand heavy guide rails. Soil fills are cheap yet crumble, increasing maintenance.

What failure points should I expect?

Ropes fatigue, bearings seize, and gearboxes waste >20 % energy [Elektroda, Madrik, post #5383200] Safety fencing is mandatory; a 2 t drop delivers 98 kJ—enough to shatter concrete floors.

3-step: How do I measure real output from a prototype lift?

  1. Mount a permanent-magnet alternator on the drum.
  2. Attach a watt-hour meter to the DC output.
  3. Lift the weight, let it descend through the generator, and record produced Wh. Compare to theoretical 0.0027 kWh per ton-meter.

Why do commercial towers need thousands of tonnes?

To serve grid-scale 10 MWh duties, each tower must drop ~160 000 t across 200 m [Elektroda, vodiczka, post #21184107] "Concrete is cheap; energy density isn’t," notes engineer J. Jeżewski (Gajowa Hill Press Kit).

How much height equals a 12 V 120 Ah battery?

A fully-charged 32 kg battery stores 1.44 kWh. To match that with its own mass you’d lower it 16.5 km—well above the stratosphere [Elektroda, sigwa18, post #21118857]

Are there safety or building codes for home gravity rigs?

Treat the setup like an elevator: follow EN 81 cable factors, overspeed governors, and emergency brakes. Local zoning may classify it as a lifting device requiring annual inspection (check EU Machinery Directive 2006/42/EC).
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