For a hydroelectric plant, a hydraulic turbine-generator is installed at the site below the free surface. The turbine drives a generator for electricity. The elevation difference between the two free surfaces is \( h = 20 \, \text{m} \). The power input from the fluid to the turbine is \( W_{\text{fluid}} = 100 \, \text{kW} \). The shaft power output from the turbine is \( W_{\text{sh}} = 80 \, \text{kW} \).**(2) Calculate the mass flow rate \( \dot{m} \) of the fluid.** __________- A. 5.10 kg/s- B. 0.510 kg/s- C. 10.2 kg/s- D. 5.1 kg/s**Diagram Explanation:**The diagram illustrates the operation of a hydroelectric plant consisting of a turbine and a generator. - The fluid enters the turbine, imparting power input represented by \( W_{\text{fluid}} \).- The turbine converts this fluid power into mechanical power (shaft power) denoted by \( W_{\text{sh}} \), which is transferred to the generator.- The generator then converts the mechanical shaft power into electrical power output represented by \( W_{\text{elec}} \).The diagram also shows the direction of fluid flow and the conversion of energy from fluid to electrical form.

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For a hydroelectric plant, a hydraulic turbine-generator is installed at the site below the free surface. The turbine drives a generator for electricity. The elevation difference between the two free surfaces is h=20m. The power input from the fluid to the turbine is is W = 100kW. The shaft power fluid output from the turbine is W = 80kW. sh (2)Calculate the mass flow rate m of the fluid.

For a hydroelectric plant, a hydraulic turbine-generator is installed at the site below the free surface. The turbine drives a generator for electricity. The elevation difference between the two free surfaces is h=20m. The power input from the fluid to the turbine is is W = 100kW. The shaft power fluid output from the turbine is W = 80kW. sh (2)Calculate the mass flow rate m of the fluid.

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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Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

For a hydroelectric plant, a hydraulic turbine-generator is installed at the site below the free surface. The turbine drives a generator for electricity. The elevation difference between the two free surfaces is \( h = 20 \, \text{m} \). The power input from the fluid to the turbine is \( W_{\text{fluid}} = 100 \, \text{kW} \). The shaft power output from the turbine is \( W_{\text{sh}} = 80 \, \text{kW} \).

**(2) Calculate the mass flow rate \( \dot{m} \) of the fluid.**
__________

- A. 5.10 kg/s
- B. 0.510 kg/s
- C. 10.2 kg/s
- D. 5.1 kg/s

**Diagram Explanation:**

The diagram illustrates the operation of a hydroelectric plant consisting of a turbine and a generator.

- The fluid enters the turbine, imparting power input represented by \( W_{\text{fluid}} \).
- The turbine converts this fluid power into mechanical power (shaft power) denoted by \( W_{\text{sh}} \), which is transferred to the generator.
- The generator then converts the mechanical shaft power into electrical power output represented by \( W_{\text{elec}} \).

The diagram also shows the direction of fluid flow and the conversion of energy from fluid to electrical form.

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