A horizontal pipeline carries water in streamline flow. At a point along the pipe, where the cross-sectional area is 10 cm 2 , the water velocity is 1 m s - 1 and the pressure is 2000 Pa , The pressur

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A horizontal pipeline carries water in streamline flow. At a point along the pipe, where the cross-sectional area is 10 cm 2 , the water velocity is 1 m s - 1 and the pressure is 2000 Pa , The pressure of water at another point where the cross-sectional area is 5 cm 2 , is. (Density of water = 10 3 kg m 3 )

TestHub · Accepted Answer

From the continuity equation v 2 = ( A 1 A 2 ) v 1 = ( 10 5 ) ( I ) = 2 m s - 1 Applying Bernoulli’s theorem at 1 and 2 P 2 + 1 2 p v 2 2 = p 1 + 1 2 p v 1 2 ∴ p 2 = p 1 + 1 2 ρ v ⁡ 1 2 - v ⁡ 2 2 = 2 0 0 0 + 1 2 × 1 0 3 1 - 4 ∴ P ⁡ 2 = 5 0 0 Pa

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