How to Calculate and Solve for the Centroid or Centre of Gravity of a Hemisphere
Last Updated on February 14, 2024
The image above is a hemisphere with a radius of 5. To caclulate the centroid or centre of gravity of a hemisphere. You need one essential parameter and this parameter is the radius of the hemisphere (r).
The formula to calculate the centroid or centre of gravity of a hemisphere is:
C.G. = 3r / 8
Where
r = Radius of the hemisphere
As always let us try and solve an example:
Find the centroid or centre of gravity of a hemisphere where the radius is 5 cm.
From the formula this implies that:
r = Radius of the hemisphere = 5
C.G. = 3(5) / 8
C.G. = 15 / 8
So, C.G. = 1.875
Therefore, the centroid or centre of gravity of the hemisphere is 1.875.
How to Calculate and Solve for the Centroid or Centre of Gravity of a Hemisphere With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the centre of gravity of a hemisphere at a distance from its base measured along the vertical radius.
To get the answer and workings of the center of gravity or centroid of a hemisphere 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 for NGN 1,500 per annum 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 Mechanics under the Engineering section
Now, click on Centre of Gravity under Statics
Now, click on Centre of Gravity of a Hemisphere
The screenshot below displays the page or activity to enter your value, to get the answer for the centre of gravity of a hemisphere according to the respective parameter which is the radius of the hemisphere (r).
Now, enter the value appropriately and accordingly for the parameter as required by the example above where the radius of the hemisphere is 5.
Lastly, click on the Calculate button
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the centre of gravity or centroid of a hemisphere and presents the formula, workings and steps too.