Question 16 of 18 Map Sapling Learning macmillan learning A horizontal pipe carr

Question

Question 16 of 18 Map Sapling Learning macmillan learning A horizontal pipe carries a smoothly flowing liquid with density 1.19 x103 kg/m3. At locations 1 and 2 along the pipe the diameters are 5.79 cm and 2.13 cm, respectively. Is the flow speed at location 2 higher or lower than at location 1? O O Higher Can't tell from the data Lower 5.79 cm 2.13 cm The flow speed at location 1 is 1.53 m/s. What is the pressure difference between location 2 and location 1 (including its sign)? Ignore viscosity Number Is the pressure at location 2 higher or lower than at location 1? O Higher O Can't tell O Lower Previous e Check Answer Next Exit Hint

Explanation / Answer

a) A1 V1 = A2 V2

(pi D12/4) * V1 = (pi D22/4) * V2

v2 = (d12 / d22) * v1 = (5.792 / 2.132) * 1.53 = 11.3 m/s

D1 > D2

So, Flow speed at location 2 is HIGHER

b) P2 - P1 = 1/2 * density * (v12 - v22)

P2 - P1 = 1/2 * 1.19 * 103 * (1.532 - 11.32)

= -7.46 * 104 Pa

c) pressure at location 2 is LOWER

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