Chapter 16: Problem 14
A Canadian meteorologist predicts an overnight low of \(-15^{\circ} \mathrm{C}\) How would a U.S. meteorologist express that prediction?
Short Answer
Expert verified
A U.S. meteorologist would express that prediction as \(5^{\circ} \mathrm{F}\).
Step by step solution
01
- Identify the Given Temperature and the Conversion Required
The given temperature is \(-15^{\circ} \mathrm{C}\). The task is to convert this temperature from Celsius (used in Canada) to Fahrenheit (used in the U.S.).
02
- Use the Conversion Formula
The conversion formula between Celsius and Fahrenheit is \(F = \frac{9}{5}C + 32\)
03
- Substitute the Given Value in the Conversion Formula
By replacing C in the formula with the given temperature in Celsius, one gets \(F = \frac{9}{5}(-15) + 32\)
04
- Simplify The Conversion
Calculate the product and sum to get the temperature in Fahrenheit: \(F = -27 + 32 = 5\)
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Celsius to Fahrenheit
Understanding temperature conversion is crucial in many aspects of life, including travel, cooking, and even when following international weather forecasts. The Celsius scale is typically used in most countries around the world for these measurements. However, the United States primarily uses the Fahrenheit scale. For someone accustomed to thinking in Celsius, interpreting temperatures in Fahrenheit can be puzzling.
To convert from Celsius to Fahrenheit, you must use a specific mathematical process. This is not just about plugging numbers into a formula but understanding how these two temperature scales relate to each other. In the Celsius scale, the freezing point of water is 0 degrees and the boiling point is 100 degrees, while in the Fahrenheit scale, these points are at 32 degrees and 212 degrees, respectively. The range between these two points is divided into 100 equal parts in Celsius, whereas in Fahrenheit, it is divided into 180 parts. This difference is key to making accurate conversions.
To convert from Celsius to Fahrenheit, you must use a specific mathematical process. This is not just about plugging numbers into a formula but understanding how these two temperature scales relate to each other. In the Celsius scale, the freezing point of water is 0 degrees and the boiling point is 100 degrees, while in the Fahrenheit scale, these points are at 32 degrees and 212 degrees, respectively. The range between these two points is divided into 100 equal parts in Celsius, whereas in Fahrenheit, it is divided into 180 parts. This difference is key to making accurate conversions.
Conversion Formula
The conversion formula is the mathematical relationship that allows us to transform a temperature from one scale to another—in this case, from Celsius to Fahrenheit or vice versa. It's straightforward but crucial to perform accurate conversions. The formula to convert Celsius to Fahrenheit is \( F = \frac{9}{5}C + 32 \), where 'F' represents degrees Fahrenheit and 'C' represents degrees Celsius.
To use the formula, simply multiply the Celsius temperature by 9/5 (or 1.8) and then add 32 to the product to find the equivalent Fahrenheit temperature. This equation considers the different sizes of degree units on each scale as well as the different starting points (the freezing point of water).
To use the formula, simply multiply the Celsius temperature by 9/5 (or 1.8) and then add 32 to the product to find the equivalent Fahrenheit temperature. This equation considers the different sizes of degree units on each scale as well as the different starting points (the freezing point of water).
Example Conversion
When applying the formula to convert -15 degrees Celsius into Fahrenheit, the result is \( F = \frac{9}{5}\times(-15) + 32 = 5 \) degrees Fahrenheit. By understanding and applying this formula, converting temperatures becomes a straightforward task.Meteorology in Physics
Meteorology, the science that deals with the phenomena of the atmosphere, especially weather and weather conditions, is a key application of physics. It requires an understanding of various physical principles, including the behavior of temperature and the interpretation of temperature scales.
Within meteorology in physics, temperature plays a pivotal role in understanding atmospheric conditions, predicting weather patterns, and communicating this information to the public in a comprehensible manner. Meteorologists often use temperature data along with other atmospheric measurements to model and forecast weather.
Temperature conversion is essential for meteorologists who share information internationally or in regions with different customary units. For example, a Canadian meteorologist using Celsius may need to convert temperature data to Fahrenheit when communicating to audiences in the United States. The use of Celsius or Fahrenheit can directly impact public understanding and response to weather forecasts and warnings, making temperature conversion a valuable skill in the field of meteorology.
Within meteorology in physics, temperature plays a pivotal role in understanding atmospheric conditions, predicting weather patterns, and communicating this information to the public in a comprehensible manner. Meteorologists often use temperature data along with other atmospheric measurements to model and forecast weather.
Temperature conversion is essential for meteorologists who share information internationally or in regions with different customary units. For example, a Canadian meteorologist using Celsius may need to convert temperature data to Fahrenheit when communicating to audiences in the United States. The use of Celsius or Fahrenheit can directly impact public understanding and response to weather forecasts and warnings, making temperature conversion a valuable skill in the field of meteorology.