I believe A is lower , and C is lower as well if my answers for A &C are in corr

Question

I believe A is lower , and C is lower as well if my answers for A &C are in correct please correct me thank you for answering! A horizontal pipe carries a smoothly flowing liquid with density 1.15 x10 kg/m3. At locations 1 and 2 along the pipe the diameters are 6.15 cm and 3.05 cm respectively. Is the flow speed at location 2 higher or lower than at location 1? O O O Higher Lower Can't tell from the data 6.15 cm 23.05 em The flow speed at location 1 is 1.99 m/s. What is the pressure difference between location 2 and location 1 (including its sign)? Ignore viscosity. Pa Is the pressure at location 2 higher or lower than at location 1? O Lower O Can't tell 0 Higher

Explanation / Answer

from equation of continuty

A1*v1 = A2*v2

since A2 < A1

V2 >V1

So the answer is higher

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A1*v1 = A2*v2

pi*(d1/2)^2*v1 = pi*(d2/2)^2*v2

6.15^2*1.99 = 3.05^2*v2

v2 = 8.1 m/s

using Bernoullies theorem

P1 + 0.5*rho*v1^2 = P2+ 0.5*rho*v2^2

P2-P1 = 0.5*rho*(v1^2-v2^2) = 0.5*1.15*10^3*(1.99^2-8.1^2)

P2-P1 = -35448.7 Pa

Since we got a negative sign

P2 < P1

So the final answer is Lower

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