A horizontal pipe carries a smoothly flowing liquid with density 1.11 x103 kg/m3

Question

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 6.71 cm and 3.63 cm tively. Is the flow speed at location 2 higher or lower than at location 1? O Can't tell from the data6.71 cm O Higher O Lower 2 13.63 cm 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 Number Is the pressure at location 2 higher or lower than at location 1? O Lower O Can't tell O Higher Previous Check Answer Next?Exit

Explanation / Answer

Solution :-

by continuity equation

area1 * velocity2 = area2 * velocity2

so

flow speed at location 2 is higher than location 1

pi * 6.71^2 * 1.99= pi * 3.63^2 * v

velocity at location 2 =6.8 m/s

by bernoulli's theorem

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

pressure difference = 0.5 * 1110 * ((6.8)^2 - (1.99)^2)

pressure difference = 23465.3445 Pa

pressure at location 1 is lower than location 1

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