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A motor produces an output of 1.2kW when the input is 14kW; its efficiency is: 85.7% 75.7% 65.7% 55.7%

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A motor produces an output of 1.2kW when the input is 14kW; its efficiency is:
85.7% 
75.7% 
65.7% 
55.7%

A motor produces an output of 1.2kW when the input is 14kW; its efficiency is: 85.7% 75.7% 65.7% 55.7%

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DavidProfessional · Tutor for 6 years

Answer

Applying the above steps:<br />Efficiency quotient = \( \left( \frac{1.2}{1.4} \right) \times 100\%=85.7 \% \)<br />So the motor has an efficiency of \( \mathbf{85.7 \%} \)

Explain

## Step1: <br />Understanding the basics of motor efficiency calculation, the efficiency of a motor is calculated as the ratio of the output power to the input power and it is usually expressed as a percentage.<br /><br />## Step2: <br />Using the formula for efficiency, transformation of the given values is required to perform calculations effectively.<br /><br />### Efficiency Formula: \(\mathbf{Efficiency} = \left( \frac{\mathbf{Output power}}{\mathbf{Input power}} \right) \times 100\% \)<br /><br />## Step3: <br />Substituting the given data into the formula for efficiency. <br />Here, Output power = \(1.2 kW\), Input power = \(1.4 kW\).
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