Shown in the figure, ahydroelectric plant has two devices, a turbine and a generator. If the efficiency of the whole plat is are 80 %, the efficienty of the generator is n=93 %, calculate the efficiency of the turbine e Now Turbine) Wh Ge tot Generator Wele %

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Shown in the figure, ahydroelectric plant has two devices, a turbine and a generator. 

If the efficiency of the whole plat is are =80 % , the efficienty of the generator is =93 %, calculate the efficiency of the turbine _____%

 
 
 

### Hydroelectric Plant Efficiency Calculation

**Text:**
Shown in the figure, a hydroelectric plant has two devices, a turbine and a generator.

If the efficiency of the whole plant is \(\eta_{\text{tot}} = 80\%\), the efficiency of the generator is \(\eta_{e} = 93\%\), calculate the efficiency of the turbine _____%.

**Diagram Explanation:**

The diagram illustrates the flow of energy in a hydroelectric plant:

1. **Turbine**
   - **Input:** \(W_{\text{fluid}}\) - This represents the energy input from water flow entering the turbine.
   - **Output:** \(W_{\text{sh}}\) - This represents the mechanical energy output from the turbine to the generator.

2. **Generator**
   - **Input:** \(W_{\text{sh}}\) - This is the mechanical energy received from the turbine.
   - **Output:** \(W_{\text{elec}}\) - This represents the electrical energy output from the generator.

The system shows how energy is transformed from fluid motion to mechanical energy in the turbine, and then to electrical energy in the generator. The calculation involves determining the efficiency of the turbine based on the given efficiencies of the overall plant and the generator.
Transcribed Image Text:### Hydroelectric Plant Efficiency Calculation **Text:** Shown in the figure, a hydroelectric plant has two devices, a turbine and a generator. If the efficiency of the whole plant is \(\eta_{\text{tot}} = 80\%\), the efficiency of the generator is \(\eta_{e} = 93\%\), calculate the efficiency of the turbine _____%. **Diagram Explanation:** The diagram illustrates the flow of energy in a hydroelectric plant: 1. **Turbine** - **Input:** \(W_{\text{fluid}}\) - This represents the energy input from water flow entering the turbine. - **Output:** \(W_{\text{sh}}\) - This represents the mechanical energy output from the turbine to the generator. 2. **Generator** - **Input:** \(W_{\text{sh}}\) - This is the mechanical energy received from the turbine. - **Output:** \(W_{\text{elec}}\) - This represents the electrical energy output from the generator. The system shows how energy is transformed from fluid motion to mechanical energy in the turbine, and then to electrical energy in the generator. The calculation involves determining the efficiency of the turbine based on the given efficiencies of the overall plant and the generator.
Expert Solution
Step 1

Given 

Whole plat efficiency ηp = 80% = 0.8

generator efficiency ηg=93 % = 0.93

Asked to find turbine efficiency ηt

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