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An electric motor self-heats 15 degrees Celsius above ambient temperature when operating steadily. If the ambient temperature is 70 degrees Fahrenheit, what is the operating temperature of the motor in Fahrenheit?

Answer :

The operating temperature of the motor in Fahrenheit is approximately 97°F.

To find the operating temperature of the motor in Fahrenheit, we need to first convert the ambient temperature from Fahrenheit to Celsius, add the self heating temperature in Celsius, and then convert the result back to Fahrenheit. We can use the following formulas to convert between Fahrenheit and Celsius:

°C = (°F - 32) × 5/9
°F = (°C × 9/5) + 32

First, let's convert the ambient temperature of 70°F to Celsius:

°C = (70°F - 32) × 5/9
°C = 38 × 5/9
°C = 21.11°C

Next, let's add the self heating temperature of 15°C to the ambient temperature in Celsius:

Operating temperature in °C = 21.11°C + 15°C
Operating temperature in °C = 36.11°C

Finally, let's convert the operating temperature in Celsius back to Fahrenheit:

°F = (36.11°C × 9/5) + 32
°F = 64.998 + 32
°F = 96.998°F

Therefore, the operating temperature of the motor in Fahrenheit is approximately 97°F.

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