It is very possible to compute the centroid or centre of gravity of a circular sector. There are two highly important parameters one needs to know to compute the centre of gravity of a circular sector. These parameters are:
- Radius of the Sector (r)
- Semi Vertical Angle (α)
The formula for computing the centre of gravity of a circular sector is:
C.G. = 2rsinα / 3α
Now, let’s take an example.
Let’s find the centroid or the centre of gravity of a circular sector that has a radius of 4m and a semi vertical angle of 30°.
This implies that:
r = Radius of the Sector = 4
α = Semi Vertical Angle = 30
Entering this values into the formula we have:
C.G. = 2(4)sin30° / 3(30)
C.G. = 8 . sin30° / 90
C.G. = 8 . (0.5) / 90
C.G. = 4 / 90
C.G. = 0.0444
Therefore, the centroid or centre of gravity of the circular sector is 0.0444.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the centre of gravity of a circular sector making a semi vertical angle α at a distance from the centre of the sector measured along the central axis.
To get the answer and workings to center of gravity or centroid of a circular sector. First, you need to obtain the Nickzom Calculator – The Calculator Encyclopedia app.