F to C equation
#3
Re: F to C equation
Step 1 - Find the ratio of Fahrenheit degrees between the boiling and freezing points of water to Celsius degrees for the same two points.
* Fahrenheit degrees between the boiling and freezing points of water = 180
* Celsius degrees between the boiling and freezing points of water = 100
* Fahrenheit to Celsius ratio = 180 : 100 = 1.8 : 1
This means that for every 1.8 degrees that temperature changes on the Fahrenheit scale, temperature will change 1 degree on the Celsius scale. Thus the ratio of Fº to Cº is 1.8 : 1
Step 2 - Understand the distinction between ºF and Fº
* ºF represents a specific temperature on the Fahrenheit scale. For example: pure water freezes at 32 ºF.
* Fº represents a range between two points on the Fahrenheit scale. For Example: between the freezing point of water and the boiling point of water, there are 180 Fº
Step 3 - Convert the proportion in Step 1 to an equation. Than cannot be done by simply inserting an equal sign in place of the proportion sign
ºF / ºC is not equal to 1.8 / 1
Step 4 - Pick a point on the two temperature scales where you know both temperatures. Express a ratio that would set both of the temperatures equal to zero by addition or subtraction. From the drawing above I could use either the boiling or freezing points of water. One equation which I could use would be:
ºF - 32º / ºC = 1.8 / 1
However, another equation that would be valid is:
ºF - 212º / ºC - 100º = 1.8 / 1
The boiling or freezing of water is a constant temperature process. The change happens at a known temperature which remains constant during the completion of the process. These temperatures would be the most dependable to use, however others could be used. Absolute zero and the freezing point of mercury could also be used. The human body temperatures could be used as long as the temperature was known on both of the scales being used.
Step 5 - Isolate for the variable you are trying to solve for, and plug the known temperature in the equation.
This process can be used to convert temperature on one scale to temperature on any other scale, even an imaginary scale. The process would be:
* Find the ratio of the numbers between the boiling and freezing points of water on both scales.
* Select any point on the two thermometers where you know the temperature on both scales
* Express a ratio that would set both of the temperatures equal to zero by addition or subtraction
* Isolate for the variable you are trying to solve for, and plug the known temperature in the equation.
Examples
Convert 50ºF to ºC
1. Use the equation ºF - 32º / ºC = 1.8 / 1
2. Isolate for ºC, begin by cross multiplying
3. ºF - 32º = (1. ºC
4. Isolate for ºC by dividing both sides by 1.8
5. (ºF - 32º) / 1.8 = ºC
6. Enter the given value for ºF
7. (50º - 32º) / 1.8 = ºC
8. 18º / 1.8 = ºC
9. 10º = ºC
Convert 35 ºC to ºF
1. Use the equation ºF - 32º / ºC = 1.8 / 1
2. Isolate for ºC, begin by cross multiplying
3. ºF - 32º = (1. ºC
4. Isolate for ºF by adding 32º to both sides
5. ºF = (1. ºC + 32º
6. Enter the given value for ºC
7. ºF = (1.(35º) + 32º
8. ºF = 63º + 32º
9. ºF = 95º
* Fahrenheit degrees between the boiling and freezing points of water = 180
* Celsius degrees between the boiling and freezing points of water = 100
* Fahrenheit to Celsius ratio = 180 : 100 = 1.8 : 1
This means that for every 1.8 degrees that temperature changes on the Fahrenheit scale, temperature will change 1 degree on the Celsius scale. Thus the ratio of Fº to Cº is 1.8 : 1
Step 2 - Understand the distinction between ºF and Fº
* ºF represents a specific temperature on the Fahrenheit scale. For example: pure water freezes at 32 ºF.
* Fº represents a range between two points on the Fahrenheit scale. For Example: between the freezing point of water and the boiling point of water, there are 180 Fº
Step 3 - Convert the proportion in Step 1 to an equation. Than cannot be done by simply inserting an equal sign in place of the proportion sign
ºF / ºC is not equal to 1.8 / 1
Step 4 - Pick a point on the two temperature scales where you know both temperatures. Express a ratio that would set both of the temperatures equal to zero by addition or subtraction. From the drawing above I could use either the boiling or freezing points of water. One equation which I could use would be:
ºF - 32º / ºC = 1.8 / 1
However, another equation that would be valid is:
ºF - 212º / ºC - 100º = 1.8 / 1
The boiling or freezing of water is a constant temperature process. The change happens at a known temperature which remains constant during the completion of the process. These temperatures would be the most dependable to use, however others could be used. Absolute zero and the freezing point of mercury could also be used. The human body temperatures could be used as long as the temperature was known on both of the scales being used.
Step 5 - Isolate for the variable you are trying to solve for, and plug the known temperature in the equation.
This process can be used to convert temperature on one scale to temperature on any other scale, even an imaginary scale. The process would be:
* Find the ratio of the numbers between the boiling and freezing points of water on both scales.
* Select any point on the two thermometers where you know the temperature on both scales
* Express a ratio that would set both of the temperatures equal to zero by addition or subtraction
* Isolate for the variable you are trying to solve for, and plug the known temperature in the equation.
Examples
Convert 50ºF to ºC
1. Use the equation ºF - 32º / ºC = 1.8 / 1
2. Isolate for ºC, begin by cross multiplying
3. ºF - 32º = (1. ºC
4. Isolate for ºC by dividing both sides by 1.8
5. (ºF - 32º) / 1.8 = ºC
6. Enter the given value for ºF
7. (50º - 32º) / 1.8 = ºC
8. 18º / 1.8 = ºC
9. 10º = ºC
Convert 35 ºC to ºF
1. Use the equation ºF - 32º / ºC = 1.8 / 1
2. Isolate for ºC, begin by cross multiplying
3. ºF - 32º = (1. ºC
4. Isolate for ºF by adding 32º to both sides
5. ºF = (1. ºC + 32º
6. Enter the given value for ºC
7. ºF = (1.(35º) + 32º
8. ºF = 63º + 32º
9. ºF = 95º
#9
Re: F to C equation
Originally Posted by 70Challenger
you can always just google that stuff, and google will outright give you the answer to what ever you're trying to convert, makes it so you dont even have to think anymore