Questions: A certain motor loses 25.0% of its energy input to friction.
What is the efficiency of this motor?
75.0%
25.0%
85.0%
Transcript text: A certain motor loses $25.0 \%$ of its energy input to friction.
What is the efficiency of this motor?
$75.0 \%$
$25.0 \%$
$85.0 \%$
Solution
Solution Steps
Step 1: Understanding Efficiency
Efficiency is a measure of how much of the input energy is converted into useful work. It is calculated using the formula:
\[
\text{Efficiency} = \left( \frac{\text{Useful Energy Output}}{\text{Total Energy Input}} \right) \times 100\%
\]
Step 2: Calculating Useful Energy Output
Given that the motor loses \(25.0\%\) of its energy input to friction, the useful energy output is the remaining energy. Therefore, the useful energy output is:
\[
100\% - 25.0\% = 75.0\%
\]
Step 3: Determining the Efficiency
Since the useful energy output is \(75.0\%\) of the total energy input, the efficiency of the motor is \(75.0\%\).