How to Convert Cartesian to Cylindrical | Coordinate Units
Last Updated on June 19, 2024
To convert cartesian to cylindrical, three essential parameters are needed: the Value of x, the Value of y, and the Value of z.
The formula for converting cartesian to cylindrical (ρ, φ, z):
ρ = √(x² + y²)
φ = tan-1(y / x)
z = z
Let’s solve an example;
Find the conversion of cartesian to cylindrical when the value of x is 2, the value of y is 4 and the value of z is 8.
This implies that;
Value of x = 2
Value of y = 4
And then, Value of z = 8
Finding ρ:
ρ = √(2² + 4²)
ρ = √(4 + 16)
So, ρ = √(20)
Therefore, ρ is 4.47.
Finding φ:
φ = tan-1(4 / 2)
That is, φ = tan-1(2)
φ = 63.43494882292201°
Therefore, φ is 63.43°.
Finding z:
z = 8
Therefore, the cylindrical coordinates of the Cartesian coordinates (2, 4, 8) is (4.47, 63.43°, 8).
Read more: How to Convert Cylindrical to Cartesian | Coordinate Units
How to Convert Cartesian to Cylindrical Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of converting cartesian to cylindrical.
To get the answer and workings of cartesian to cylindrical using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Coordinate Units under Switches.
Now, Click on Cartesian to Cylindrical under Coordinate Units
The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of cartesian to cylindrical according to the respective parameters which are the Value of x, Value of y and Value of z.
Now, enter the values appropriately and accordingly for the parameters as required by the Value of x is 2, Value of y is 4 and Value of z is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves the conversion of cartesian to cylindrical and presents the formula, workings, and steps too.
