5. A generator produces electricity from a water tank as shown. Determine the electrical output from the generator as a function of water level (h) for the following flow rates: 2.5, 3.0, and 3.5 kg/s. The generator is equipped with a brake that engages gradually if it operates above its intended speed (i.e. the generator protects itself from damage by partially engaging a brake when mass flow is greater than 3 kg/s and fully engaging the brake when mass flow is 5 kg/s or greater). The efficiency of the generator system can be estimated using the graph on the next page. Assume no losses due to friction in the pipes. Efficiency of Generator vs Mass Flow Rate 0.8 0.7 0.6 0.5 0.4 0.3 0.2 Water Tank 0.1 1. 2 6. Mass Flow Rate (kg/s) Generator A= 25 cm? Efficiency

Elements Of Electromagnetics
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I get a little confused when it is stated "Flow rate is = Ma" Isnt flow rate= Av?

### Problem Statement

A generator produces electricity from a water tank as shown. Determine the electrical output from the generator as a function of water level (h) for the following flow rates: 2.5, 3.0, and 3.5 kg/s. The generator is equipped with a brake that engages gradually if it operates above its intended speed (i.e., the generator protects itself from damage by partially engaging a brake when mass flow is greater than 3 kg/s and fully engaging the brake when mass flow is 5 kg/s or greater). The efficiency of the generator system can be estimated using the graph on the next page. Assume no losses due to friction in the pipes.

### Diagram Explanation

The diagram shows a setup with a water tank and a generator. Water flows from the tank to the generator, creating electrical output.

- **Water Tank:** The tank provides water that flows through the generator.
- **Generator:** Converts the kinetic energy of water into electrical energy. It is depicted in the system setup.
- **Flow Path:** Water enters the generator through a pipe with a cross-sectional area of 25 cm².

### Graph Explanation

**Efficiency of Generator vs Mass Flow Rate**

- **X-axis:** Mass Flow Rate (kg/s) ranging from 0 to 6 kg/s.
- **Y-axis:** Efficiency ranging from 0 to 0.8.

The graph shows the efficiency of the generator relative to different mass flow rates:

- Efficiency increases linearly, peaking at around 0.75 at a flow rate of 3 kg/s.
- Beyond 3 kg/s, efficiency decreases, reaching 0 when the mass flow rate is at 5 kg/s.

### Application

Use the given information and diagram to calculate the electrical output based on the water level (h) for specified flow rates using the efficiency graph.
Transcribed Image Text:### Problem Statement A generator produces electricity from a water tank as shown. Determine the electrical output from the generator as a function of water level (h) for the following flow rates: 2.5, 3.0, and 3.5 kg/s. The generator is equipped with a brake that engages gradually if it operates above its intended speed (i.e., the generator protects itself from damage by partially engaging a brake when mass flow is greater than 3 kg/s and fully engaging the brake when mass flow is 5 kg/s or greater). The efficiency of the generator system can be estimated using the graph on the next page. Assume no losses due to friction in the pipes. ### Diagram Explanation The diagram shows a setup with a water tank and a generator. Water flows from the tank to the generator, creating electrical output. - **Water Tank:** The tank provides water that flows through the generator. - **Generator:** Converts the kinetic energy of water into electrical energy. It is depicted in the system setup. - **Flow Path:** Water enters the generator through a pipe with a cross-sectional area of 25 cm². ### Graph Explanation **Efficiency of Generator vs Mass Flow Rate** - **X-axis:** Mass Flow Rate (kg/s) ranging from 0 to 6 kg/s. - **Y-axis:** Efficiency ranging from 0 to 0.8. The graph shows the efficiency of the generator relative to different mass flow rates: - Efficiency increases linearly, peaking at around 0.75 at a flow rate of 3 kg/s. - Beyond 3 kg/s, efficiency decreases, reaching 0 when the mass flow rate is at 5 kg/s. ### Application Use the given information and diagram to calculate the electrical output based on the water level (h) for specified flow rates using the efficiency graph.
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