A liquid of density 1.33 × 103 kg/m3 flows steadily through a pipe of varying di

Question

A liquid of density 1.33 × 103 kg/m3 flows steadily through a pipe of varying diameter and height. At location 1 along the pipe the flow speed is 9.91 m/s and the pipe diameter is 11.9 cm. At location 2 the pipe diameter is 14.9 cm. At location 1 the pipe is 9.39 m higher than it is at location 2. Ignoring viscosity, calculate the difference between the fluid pressure at location 2 and the fluid pressure at location 1.

Question 17 of 17 Map Sapling Learning A liquid of density 1.33 x 103 kg/m3 flows steadily through a pipe of varying diameter and height. At location 1 along the flow speed is 9.91 m/s and the pipe diameter 11.9 cm is 11.9 cm. At location 2 the pipe diameter is 14.9 cm. At location 1 the pipe is 9.39 m higher than it is at location 2. lgnoring viscosity, calculate the difference between the fluid pressure at location 2 and the fluid pressure at location 1. 9.39 m Number Pa. 14.9 cm Previous 8 Give Up & View solution checks Answer Next Exit Hint

Explanation / Answer

from the equation of continuity

A1 v1 = A2 v2

v2 = A1/A2 * v1

= pi d1^2/4/ pi d2^2/4 * v1

= d1^2/ d2^2/ * v1

Apply Bernoullis equation

P1 + rho gh1 + rho v1^2/2 = p2 + rho g h2 + rho v2^2/2

P2- P1 = rho g ( h1- h2) + 0.5 rho v1^2 ( 1- ( d1/d2)^4

= 1.33 * 10^3 ( 9.8) ( 9.39) + 0.5 ( 1.33 * 10^3) ( 1- ( 11.9/14.9)^4)(9.91)^2

=161126.4Pa

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