Question 2) My score: \( 97 / 122 \) pts ( \( 79.51 \% \) ) An instrument technician uses an infrared (noncontact) thermometer to measure the temperature of a running motor. According to the motor's manual, the operating temperature should not exceed \( 220^{\circ} \). Although the thermometer can display either Fahrenheit or Celsius, the button that switches scales is unfortunately broken. The thermometer shows a temperature of \( 83^{\circ} \mathrm{C} \). To the nearest whole degree, what is the equivalent Fahrenheit value? The motor's temperature is \( \square^{\circ} \mathrm{F} \).

To convert the temperature from Celsius to Fahrenheit, you can use the formula: \( F = \frac{9}{5}C + 32 \). Plugging in \( 83^{\circ}C \) into this formula gives you \( F = \frac{9}{5} \times 83 + 32 \). This means that the equivalent temperature in Fahrenheit is \( 181.4^{\circ} \), which rounds to \( 181^{\circ}F \). So, the motor's temperature is \( 181^{\circ}F \)! It’s a good practice to always check the manual and be cautious because if the temperature exceeds \( 220^{\circ}F \), you might run into overheating issues that can potentially damage the motor. It's often wise to monitor the temperature frequently to prevent any mishaps!