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物理第8题答案Question8(1mark)Waterispumpeduptoastoragereservoirataheightof20m.Theflowvelocityatthebaseis2m/sandtheflowvelocityatthetopis1m/s.Whatisthedifferenceinwaterpressurebetweenthetopandtheba
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物理第8题答案
Question 8 (1 mark)
Water is pumped up to a storage reservoir at a height of 20m. The flow velocity at the base is 2 m/s and the flow velocity at the top is 1 m/s. What is the difference in water pressure between the top and the base? (answer in pascals, remember the density of water is 1000 kg/m3)
Question 8 (1 mark)
Water is pumped up to a storage reservoir at a height of 20m. The flow velocity at the base is 2 m/s and the flow velocity at the top is 1 m/s. What is the difference in water pressure between the top and the base? (answer in pascals, remember the density of water is 1000 kg/m3)
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答案和解析
记底部为1,记顶部为2
P1 +1/2 x pV1^2 + pgy1 = P2 +1/2 x pV2^2 + pgy2
P1 - P2 = 1/2 * p * (V2^2 - V1^2) + p g (y2 - y1)
= 1/2 * 1000 * (1^2 - 2^2) + 1000 * 9.8 * 20
= 194500 Pa
y2-y1指高度差
P1 +1/2 x pV1^2 + pgy1 = P2 +1/2 x pV2^2 + pgy2
P1 - P2 = 1/2 * p * (V2^2 - V1^2) + p g (y2 - y1)
= 1/2 * 1000 * (1^2 - 2^2) + 1000 * 9.8 * 20
= 194500 Pa
y2-y1指高度差
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