Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Convert horsepower to watts
P = 5 \times 746 \frac{\mathrm{watts}}{\mathrm{horsepower}}
- First, recall the conversion factor: 1 horsepower = 746 watts - Given: Motor is 5 horsepower
Step 3:: Calculate total electrical power
P = 5 \times 746 = 3,730 \mathrm{~watts}
- Multiply the number of horsepower by the conversion factor
Final Answer
Key Insights: - The conversion from horsepower to watts is direct and linear - 1 horsepower consistently equals 746 watts - This calculation assumes 100% efficiency (which is ideal; real-world motors have some energy loss)
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