• The firefighter holds the hose 1 m off the ground. What is the speed of the flow as it leaves the hose nozzle? • What is the diameter of the nozzle exit? • The hose from the firetruck to the firefighter has a 15 cm inside diameter. What is the pressure in the hose as it leaves the truck? Assume no losses in the hose and that the hose exits the truck a height of 1 m off the ground.
• The firefighter holds the hose 1 m off the ground. What is the speed of the flow as it leaves the hose nozzle? • What is the diameter of the nozzle exit? • The hose from the firetruck to the firefighter has a 15 cm inside diameter. What is the pressure in the hose as it leaves the truck? Assume no losses in the hose and that the hose exits the truck a height of 1 m off the ground.
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
Related questions
Question
![### Firefighting Water Dynamics Problem
#### Illustration Description:
The diagram illustrates a pond connected to a firetruck with a pump. The hose extends from the firetruck held by a firefighter, who is positioned 1 meter off the ground. A vertical cliff is present, measuring 12 meters in height.
#### Questions:
1. **Flow Speed Calculation:**
- **Question:** The firefighter holds the hose 1 m off the ground. What is the speed of the flow as it leaves the hose nozzle?
- **Answer Field:** [Enter answer here]
2. **Nozzle Exit Diameter:**
- **Question:** What is the diameter of the nozzle exit?
- **Answer Field:** [Enter answer here]
3. **Pressure in the Hose:**
- **Question:** The hose from the firetruck to the firefighter has a 15 cm inside diameter. What is the pressure in the hose as it leaves the truck? Assume no losses in the hose and that the hose exits the truck at a height of 1 m off the ground.
- **Answer Field:** [Enter answer here]
4. **Power in the Fluid:**
- **Question:** What is the power in the fluid coming out of the pump?
- **Answer Field:** [Enter answer here]
5. **Motor Power Input:**
- **Question:** Assume the pump and motor have a combined efficiency of 60%. What power must be input to the motor?
- **Answer Field:** [Enter answer here]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbba194c6-539e-4b57-8637-e24c59390e39%2F731d813b-5826-457e-8825-27f680de8c41%2F0cztr2_processed.png&w=3840&q=75)
Transcribed Image Text:### Firefighting Water Dynamics Problem
#### Illustration Description:
The diagram illustrates a pond connected to a firetruck with a pump. The hose extends from the firetruck held by a firefighter, who is positioned 1 meter off the ground. A vertical cliff is present, measuring 12 meters in height.
#### Questions:
1. **Flow Speed Calculation:**
- **Question:** The firefighter holds the hose 1 m off the ground. What is the speed of the flow as it leaves the hose nozzle?
- **Answer Field:** [Enter answer here]
2. **Nozzle Exit Diameter:**
- **Question:** What is the diameter of the nozzle exit?
- **Answer Field:** [Enter answer here]
3. **Pressure in the Hose:**
- **Question:** The hose from the firetruck to the firefighter has a 15 cm inside diameter. What is the pressure in the hose as it leaves the truck? Assume no losses in the hose and that the hose exits the truck at a height of 1 m off the ground.
- **Answer Field:** [Enter answer here]
4. **Power in the Fluid:**
- **Question:** What is the power in the fluid coming out of the pump?
- **Answer Field:** [Enter answer here]
5. **Motor Power Input:**
- **Question:** Assume the pump and motor have a combined efficiency of 60%. What power must be input to the motor?
- **Answer Field:** [Enter answer here]

Transcribed Image Text:**Title:** Physics of Firetruck Water Pumping Systems
**Introduction:**
Explore the physics involved in pumping water to great heights, as utilized by firetrucks in firefighting scenarios. In this example, we evaluate a firetruck drawing water from a pond and propelling it upwards at a constant rate.
**Scenario Description:**
A firetruck pumps water from a nearby pond and projects it as a narrow stream to a height of 12 meters. The water flow rate is 4200 liters per minute (L/min). For simplicity, kinetic energy at the top of the building is deemed negligible, and the horizontal velocity component is not considered significant.
**Diagram Explanation:**
The accompanying diagram features:
- A pond as the initial water source.
- A firetruck equipped with a pump that directs water through a hose.
- The hose rises to a nozzle held by a firefighter, 1 meter above the ground.
- The water ultimately reaches a height of 12 meters at the building.
**Questions for Consideration:**
- **The firefighter holds the hose 1 m off the ground. What is the speed of the flow as it leaves the hose nozzle?**
(Input your answer here)
- **What is the diameter of the nozzle exit?**
(Input your answer here)
- **The hose from the firetruck to the firefighter has a 15 cm inside diameter. What is the pressure in the hose as it leaves the truck? Assume no losses in the hose and that the hose exits the truck a height of 1 m off the ground.**
(Input your answer here)
**Conclusion:**
This exercise facilitates comprehension of fluid dynamics principles applied in emergency settings, emphasizing hydrostatic pressure and velocity calculations essential for effective firefighting operations.
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