Patm = 10^5, P(water) = 1000 kg/m^3 ; Pair = 1.2 kg/m^3 ; g = 9.8m/s^2gage pressure Pg = P - Patm **Bernoulli**: A horizontal water jet issues into the atmosphere from a flow in a pipe at \( P_g = 0.7 \, \text{atm}, D_p = 4 \, \text{cm} \), through an exit nozzle of diameter \( D_n = 4 \, \text{mm} \) and strikes a vertical plate. A stagnation manometer measures the water pressure at the point of impact on the plate through a small hole. The manometer is open at the top and fills with water to height \( h \) on top of which is a layer of a fluid (SG = 0.8) of height 20cm.(a) What is the jet speed at the nozzle exit?(b) What is the manometer height of water, \( h \), below the heavy fluid layer?**Answer OM**: (a) \( 10^1 \, \text{m/s} \) (b) \( 10^0 \, \text{m} \)**Diagram Explanation**: - The diagram on the right shows the setup of the system.- A horizontal pipe with pressure \( P_g \) connects to an exit nozzle.- The exit nozzle reduces the diameter from \( D_p = 4 \, \text{cm} \) to \( D_n = 4 \, \text{mm} \).- A vertical plate is positioned where the water jet impacts.- A stagnation manometer extends from the side of the water jet and is exposed to the atmosphere at the top.- The manometer has two fluid layers: water at the bottom and a heavy fluid (specific gravity 0.8) forming a 20 cm top layer.- The water in the manometer rises to height \( h \).The system demonstrates principles from Bernoulli's equation and fluid dynamics, showing how pressure and energy convert as the water moves from the nozzle to the plate.

Answered: Image /qna-images/answer/82f8610f-263b-4ad7-ae50-82fe79a4d338.jpg

Bernoulli. A horizontal water jet issues into the atmosphere from a flow in a pipe at Pg= 0.7 atm, D, = 4cm, through an exit nozzle of diameter D₁ = 4mm and strikes a vertical plate. A stagnation manometer measures the water pressure at the point of impact on the plate thru a small hole. The manometer is open at the top and fills with water to heighth on top of which is a layer of a fluid (SG = 0.8) of height 20cm. (a) what is the jet speed at the nozzle exit? (b) what is the manometer height of water, h, below the heavy fluid layer? Ans OM: (a) 10¹ m/s; (b) 10⁰ m

Bernoulli. A horizontal water jet issues into the atmosphere from a flow in a pipe at Pg= 0.7 atm, D, = 4cm, through an exit nozzle of diameter D₁ = 4mm and strikes a vertical plate. A stagnation manometer measures the water pressure at the point of impact on the plate thru a small hole. The manometer is open at the top and fills with water to heighth on top of which is a layer of a fluid (SG = 0.8) of height 20cm. (a) what is the jet speed at the nozzle exit? (b) what is the manometer height of water, h, below the heavy fluid layer? Ans OM: (a) 10¹ m/s; (b) 10⁰ m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Patm = 10^5, P(water) = 1000 kg/m^3 ; Pair = 1.2 kg/m^3 ; g = 9.8m/s^2
gage pressure Pg = P - Patm

**Bernoulli**: A horizontal water jet issues into the atmosphere from a flow in a pipe at \( P_g = 0.7 \, \text{atm}, D_p = 4 \, \text{cm} \), through an exit nozzle of diameter \( D_n = 4 \, \text{mm} \) and strikes a vertical plate. A stagnation manometer measures the water pressure at the point of impact on the plate through a small hole. The manometer is open at the top and fills with water to height \( h \) on top of which is a layer of a fluid (SG = 0.8) of height 20cm.

(a) What is the jet speed at the nozzle exit?

(b) What is the manometer height of water, \( h \), below the heavy fluid layer?

**Answer OM**:
(a) \( 10^1 \, \text{m/s} \)
(b) \( 10^0 \, \text{m} \)

**Diagram Explanation**:

- The diagram on the right shows the setup of the system.
- A horizontal pipe with pressure \( P_g \) connects to an exit nozzle.
- The exit nozzle reduces the diameter from \( D_p = 4 \, \text{cm} \) to \( D_n = 4 \, \text{mm} \).
- A vertical plate is positioned where the water jet impacts.
- A stagnation manometer extends from the side of the water jet and is exposed to the atmosphere at the top.
- The manometer has two fluid layers: water at the bottom and a heavy fluid (specific gravity 0.8) forming a 20 cm top layer.
- The water in the manometer rises to height \( h \).

The system demonstrates principles from Bernoulli's equation and fluid dynamics, showing how pressure and energy convert as the water moves from the nozzle to the plate.

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