A horizontal pipe carries a smoothly flowing liquid with density 1.11 × 103 kg/m

Question

A horizontal pipe carries a smoothly flowing liquid with density 1.11 × 103 kg/m3. At locations 1 and 2 along the pipe the diameters are 6.65 cm and 2.43 cm, respectively. Is the flow speed at location 2 higher or lower than at location 1?

A horizontal pipe carries a smoothly flowing liquid with density 1.11 x103 kg/m3. At locations 1 and 2 along the pipe the diameters are 6.65 cm and 2.43 cm tively. Is the flow speed at location 2 higher or lower than at location 1? Lower Higher Can't tell from the data 6.65 cm 2 2.43 cm O O The flow speed at location 1 is 2.85 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

by continuity equation

area1 * velocity2 = area2 * velocity2

so

flow speed at location 2 is higher than location 1

pi * 6.65^2 * 2.85 = pi * 2.43^2 * v

velocity at location 2 = 21.3439 m/s

by bernoulli's theorem

pressure difference = 0.5 * density * ((velocity at 2)^2 - (velocity at 1)^2)

pressure difference = 0.5 * 1110 * ((21.3439)^2 - (2.85)^2)

pressure difference = 248328.959802 Pa

pressure at location 1 is lower than location 1

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