Use the formula c = 5/9 * (F – 32) for conversion between Fahrenheit and Celsius to convert each temperature.
a. 53°F to Celsius
b. 30°F to Celsius
c. 40°C to Fahrenheit
The Correct Answer and Explanation is :
Temperature Conversions:
Using the formula:
[
C = \frac{5}{9} \times (F – 32)
]
[
F = \frac{9}{5} \times C + 32
]
Calculations:
- 53°F to Celsius:
[
C = \frac{5}{9} \times (53 – 32) = \frac{5}{9} \times 21 = 11.67°C
] - 30°F to Celsius:
[
C = \frac{5}{9} \times (30 – 32) = \frac{5}{9} \times (-2) = -1.11°C
] - 40°C to Fahrenheit:
[
F = \frac{9}{5} \times 40 + 32 = 72 + 32 = 104°F
]
Explanation:
The Fahrenheit and Celsius scales are two different ways of measuring temperature. The conversion between them is important in science, engineering, and daily life.
- Understanding Fahrenheit to Celsius:
- The formula subtracts 32 because 32°F is the freezing point of water in the Fahrenheit scale, equivalent to 0°C in Celsius.
- The fraction 5/9 is used because the scales have different step sizes: a 1-degree change in Fahrenheit is smaller than in Celsius.
- Understanding Celsius to Fahrenheit:
- The fraction 9/5 adjusts the difference in step size between the two scales.
- Adding 32 shifts the scale so that 0°C aligns with 32°F.
- Why Conversions Matter:
- Scientific work typically uses Celsius or Kelvin, while Fahrenheit is common in the U.S.
- Weather forecasts, cooking recipes, and health guidelines sometimes require switching between these units.
Now, I’ll generate an image illustrating the temperature conversion scale.
Here is a visual representation of the Fahrenheit to Celsius temperature conversion. The graph illustrates the relationship between the two temperature scales, highlighting key points such as the freezing point (32°F, 0°C) and boiling point (212°F, 100°C) of water. Let me know if you need any modifications!