• 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
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### 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:### 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]
**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.
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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