The outflow pipe of a water (1000 ) tower is 20 m above the ground. The outflow pipe leaves the tower and m3 drop down into the ground. At 5 m below the ground, the pipe then runs horizontally for some distance. At some point the pipe comes back up out of the ground and runs horizontally at 1 m above it. The diameter of the bipe as it leaves the tower is 50 cm. The diameter of the pipe while it is underground is 10 cm. The diameter of he pipe that is 1 m above the ground is 2 cm. The pressure in the pipe while it is underground is 506500 Pa. The pressure in the pipe while it is 1m above the ground is 101300 Pa.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...
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Problem 1:
The outflow pipe of a water (1000;
m3
tower is 20 m above the ground. The outflow pipe leaves the tower and
drop down into the ground. At 5 m below the ground, the pipe then runs horizontally for some distance. At
some point the pipe comes back up out of the ground and runs horizontally at 1 m above it. The diameter of the
pipe as it leaves the tower is 50 cm. The diameter of the pipe while it is underground is 10 cm. The diameter of
the pipe that is 1 m above the ground is 2 cm. The pressure in the pipe while it is underground is 506500 Pa.
The pressure in the pipe while it is 1m above the ground is 101300 Pa.
т
a) Find the velocity of the water in the underground portion of the pipe. Answer: 1.05-
S
т
b) Find the velocity of the water in the pipe that is 1 m above the ground. Answer: 26.3
S
c) Find the velocity of the water in the pipe as it leaves the water tower. Answer: 0.04
S
d) Find the pressure of the fluid as it leaves the water tower. Answer:262054 Pa
Transcribed Image Text:Problem 1: The outflow pipe of a water (1000; m3 tower is 20 m above the ground. The outflow pipe leaves the tower and drop down into the ground. At 5 m below the ground, the pipe then runs horizontally for some distance. At some point the pipe comes back up out of the ground and runs horizontally at 1 m above it. The diameter of the pipe as it leaves the tower is 50 cm. The diameter of the pipe while it is underground is 10 cm. The diameter of the pipe that is 1 m above the ground is 2 cm. The pressure in the pipe while it is underground is 506500 Pa. The pressure in the pipe while it is 1m above the ground is 101300 Pa. т a) Find the velocity of the water in the underground portion of the pipe. Answer: 1.05- S т b) Find the velocity of the water in the pipe that is 1 m above the ground. Answer: 26.3 S c) Find the velocity of the water in the pipe as it leaves the water tower. Answer: 0.04 S d) Find the pressure of the fluid as it leaves the water tower. Answer:262054 Pa
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