تبدیل فارنهایت به سانتیگراد

تاریخ : چهار شنبه 4 دی 1392
نویسنده : mohamadaref


 تبدیل فارنهایت به سانتیگرادوبلعکس

Physicist Daniel Gabriel Fahrenheit scale of temperature suggested by the 1724 Fahrenheit (1686-1736), and is named after. Today, it is mainly used in the United States and several other countries and the rest of the world uses Celsius. So if you're in a country that uses one and want to convert it to another? Here is how you do it

What's the difference

Fahrenheit

On the Fahrenheit scale, the freezing point of water is 32 degrees Fahrenheit (°F), and the boiling point is 212°F (at standard atmospheric pressure). There are 180 equal divisions between the freezing temperature of water and its boiling point. Each division is a Fahrenheit degree

Celsius

On the Celsius scale, the freezing point of water is 0 degrees Celsius (°C) and the boiling point of water is 100°C (at standard atmospheric pressure). There are 100 equal divisions between the freezing temperature of water and its boiling point. Each division is a Celsius degree

 

Each degree Fahrenheit equals http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn001.jpg of a degree Celsius

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn002.jpg

Each degree Celsius equals http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn003.jpg of a degree Fahrenheit

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn004.jpg

Fahrenheit to Celsius

Given the Fahrenheit reading, use the following formula to get the Celsius reading

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn005.jpg

Celsius to Fahrenheit

Given the Celsius reading, use the following formula to get the Fahrenheit reading

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn006.jpg

 

Here are some practice problems (and solutions) for converting from one temperature scale to another

Sample Problem 1

When I lived in Russia, one of the coldest outside temperatures I experienced was −45°C. The coldest temperature I experienced in the United States (in Maryland) was +3°F. What is the difference in the coldest temperatures on the Fahrenheit scale

Step 1: Change the Celsius temperature to Fahrenheit using the formula and substituting the value of −45°C

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn007.jpg http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn008.jpg http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn009.jpg

We found that the coldest temperature I experienced in Russia was −49°F

Step 2: To find the difference between the coldest temperatures in two countries, subtract the coldest temperature in Russia from the coldest temperature in the United States

+3°F − (−49°F) = +3°F + 49°F = 52°F

Solution: The difference between the two coldest temperatures is 52°F

Sample Problem 2

Find the temperature where both temperature scales converge

Step 1: Since we want to equalize both temperature scales, we can write this mathematically as

°C = °F

Step 2: Use the conversion formula

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn010.jpg

Plug in the right side of the preceding equation into the right side of the equation in Step 1

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn011.jpg

Isolate the variable

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn012.jpg

Multiply both sides by 5

5C − 9C = 5(32)

Collect like terms and multiply on the right side

−4C = 160

Divide both sides by −4

C = −40

We found that a temperature of −40°C = −40°F is the one at which both temperature scales converge

Solution: −40°C = −40°F

Sample Problem 3

Normal room temperature is 72°F. What is it on the Celsius scale

Step 1: Change the Fahrenheit temperature to Celsius using the formula and substituting the value of 72°F

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn013.jpg http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn014.jpg

We rounded the answer to the hundredths place

Solution: Normal room temperature is 22.22°C

Sample Problem 4

If the temperature drops 36°F, what is the corresponding drop on the Celsius scale

Step 1: We know that each degree Fahrenheit equals http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn015.jpg of a degree Celsius, so we can state

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn016.jpg

Step 2: We know how much 1 Fahrenheit degree is. To find how much 36°F is, we need to multiply the right side of the expression in Step 1 by 36

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn017.jpg

Solution: A 36°F drop of temperature on the Fahrenheit scale means a 20°C temperature drop on the Celsius scale

Sample Problem 5

If the temperature raises 45°C, what is the corresponding rise on the Fahrenheit scale

Step 1: We know that each degree Celsius equals http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn018.jpg of a degree Fahrenheit, so we can state

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn019.jpg

Step 2: Since we know how much 1 Celsius degree is, to find how much 45°C is, we need to multiply the right side of the expression in Step 1 by 45

http://idiotsguides.com/static/images/qg/math/converting-fahrenheit-to-celsius-and-vice-versa-eqn020.jpg

Solution: A 45°C rise in temperature on the Celsius scale means an 81°F rise on the Fahrenheit scale

Now that you know how to convert from Celsius to Fahrenheit (and vice versa), you’ll never again wonder, “Just how cold is 3 degrees Celsius


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