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

Note: The correct conversion of 15 degrees Celsius to Fahrenheit is 59 degrees Fahrenheit. Therefore, the operating temperature should be calculated as:

70 degrees Fahrenheit + 59 degrees Fahrenheit = 129 degrees Fahrenheit.

The book's answer of 97 degrees Fahrenheit is incorrect based on these calculations.

There was a mistake in converting from Celsius to Fahrenheit. 15°C is not 59°F but rather 27°F. Hence, the motor's operating temperature is the sum of the ambient temperature (70°F) and the temperature increase (27°F), which equals 97°F.

Explanation:

It appears that there may have been a little misunderstanding in your calculations. When converting from Celsius to Fahrenheit, you can't simply change the numbers directly because the scales of these two temperature measurement systems are not equivalent. Instead, we have to use the formula: (°C * 9/5) + 32 = °F.

Therefore, 15°C in Fahrenheit would be: (15 * 9/5) + 32 = 59°F. However, this is the amount that the electric motor is heating above the ambient temperature.

Thus, when the ambient temperature is 70°F, the operating temperature of the motor would be 59°F (amount motor heats up by) + 70°F (ambient temperature) = 129°F. However, since the 15°C is accurate only to 5/9 the scale of Fahrenheit, the correct conversion should have been (15 * 9/5) = 27°F. Adding this to the ambient temperature, the operating temperature of the motor would be 70°F + 27°F = 97°F which is what your book listed.

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