Wate (density 1000kg/m 3 ) enters a house through the main water line on the fir

Question

Wate (density 1000kg/m3) enters a house through the main water line on the first floor. when the water is at rest, the line has a gauge pressure of 2.00 x 105 Pa at that point. (a) A aucet on the second floor, 5.90 m above the first floor, is turned off. Waht is the gauge pressure at this faucet?(hint: Use Bernoulli's equation. What are he velocities?) (b) How high could a faucet be before no water would flow from it, even if the faucet were open?(hint: If no water flows out of the open faucet, what is the gauge pressure there?)

Thank for your help, it is greatly appreciated.

Explanation / Answer

Given that height of aucet, h = 5.90 m pressure Pg = 2.00 * 105 Pa density of water = 1000 kg/m3 From the Bernoulli's theorem we have pressure difference as      Pg - P'g =*g*h       or P'g =Pg - *g*h = 142180 = 1.42 * 105 Pa b) here in this situation P'g = 0 so the required height is given by        h = Pg /*g = 14.5 m height of aucet, h = 5.90 m pressure Pg = 2.00 * 105 Pa density of water = 1000 kg/m3 From the Bernoulli's theorem we have pressure difference as      Pg - P'g =*g*h       or P'g =Pg - *g*h = 142180 = 1.42 * 105 Pa b) here in this situation P'g = 0 so the required height is given by        h = Pg /*g = 14.5 m From the Bernoulli's theorem we have pressure difference as      Pg - P'g =*g*h       or P'g =Pg - *g*h = 142180 = 1.42 * 105 Pa b) here in this situation P'g = 0 so the required height is given by        h = Pg /*g = 14.5 m

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