A horizontal pipe carries a smoothly flowing liquid with density 1.13 × 103 kg/m

Question

A horizontal pipe carries a smoothly flowing liquid with density 1.13 × 103 kg/m3. At locations 1 and 2 along the pipe the diameters are 5.05 cm and 2.09 cm, respectively. Is the flow speed at location 2 higher or lower than at location 1?

The flow speed at location 1 is 1.63 m/s. What is the pressure difference between location 2 and location 1 (including its sign)? Ignore viscosity

Is the pressure at location 2 higher or lower than at location 1?

orizontal pipe carries a smoothly flowing liquid with density 1.13 x103 kg/m3. At locations 1 and 2 along the pipe the diameters are 5.05 cm and 2.09 cm tively. Is the flow speed at location 2 higher or lower than at location 1? O Lower O Higher O Can't tell from the data 5.05 cm 2 12.09 cm The flow speed at location 1 is 1.63 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 Lower O Can't tell O Higher

Explanation / Answer

volume flow remain constant throughout the pipe.

flow speed = Av

A = corss sectional area , v = flow speed

so if cross section area is larger then lower the speed.

cross sectional area is smaller at 2.

si flow speed will be higher.

Ans (higher)

............................................

using Av = constant

(pi x (5.05/2)^2) x 1.63 = ( pi x (2.09 / 2)^2) x v2

v2 = 9.52 m/s

using bernoulli's equation,

P + row*gh + row*v^2 /2 = constant

P1 + 0 + (1.13 x 10^3 x 1.63^2 / 2) = P2 + 0 + (1.13 x 10^3 x 9.52^2 / 2)

P1 - P2 = 49667.51 Pa ...........Ans

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pressure at 2 is lower.

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