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by bulanga
6147 days ago
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> 2. Water Tower I have though of doing this for my house in the past. Before I start building the tower I wanted to have a feel for how much energy one can store using this method. I live next to the sea so water is no issue. Say to power 1 low energy 20watt light bulb for a few hours how large would the tower have to be and how high from the ground. I'd really appreciate a link to a resource explaining the maths behind this. |
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I am going to assume 100% efficiency for simplicity. [1]
mgh Joule = 20 Watt * 4 hour * 3600 s/hour
(Joule = kg * m^2 / s^2 = W * s)
Lets say you pump water to a height of 10 meters.
m = 20 * 4 * 3600 / (9.8 * 10)
m = 2938.77 ~= 3000 kg
So you need about 3000 liters (1L = 1kg for pure water) of water at a 10m high tank to power a 20W bulb for 4 hours. This about 800 US gallons. Considering other inefficiencies, you'll need more.
[1] http://www.jcmiras.net/jcm/item/93/ (first google result for efficiency of a generator) says typical efficiency of a water generator is 0.95.