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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.

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.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 1:** The outflow pipe of a water \( (1000 \, \frac{kg}{m^3}) \) tower is 20 m above the ground. The outflow pipe leaves the tower and drops 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 1 m above the ground is \( 101300 \, Pa \). a) Find the velocity of the water in the underground portion of the pipe. **Answer: \( 1.05 \, \frac{m}{s} \)** b) Find the velocity of the water in the pipe that is 1 m above the ground. **Answer: \( 26.3 \, \frac{m}{s} \)** c) Find the velocity of the water in the pipe as it leaves the water tower. **Answer: \( 0.04 \, \frac{m}{s} \)** 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 \( (1000 \, \frac{kg}{m^3}) \) tower is 20 m above the ground. The outflow pipe leaves the tower and drops 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 1 m above the ground is \( 101300 \, Pa \). a) Find the velocity of the water in the underground portion of the pipe. **Answer: \( 1.05 \, \frac{m}{s} \)** b) Find the velocity of the water in the pipe that is 1 m above the ground. **Answer: \( 26.3 \, \frac{m}{s} \)** c) Find the velocity of the water in the pipe as it leaves the water tower. **Answer: \( 0.04 \, \frac{m}{s} \)** d) Find the pressure of the fluid as it leaves the water tower. **Answer: \( 262054 \, Pa \)**
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