Second Semi Axis Of Ellipsoid Given Surface Area Calculator

Formula Used:

\[ b = \frac{1}{\sqrt{4\pi}} \times \sqrt{\frac{3V}{a \times c}} \]

Second Semi Axis (b):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Second Semi Axis of Ellipsoid?

The second semi axis (b) of an ellipsoid is one of the three principal axes that define the size and shape of the ellipsoid. It represents the intermediate radius length in the three-dimensional ellipsoidal structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \frac{1}{\sqrt{4\pi}} \times \sqrt{\frac{3V}{a \times c}} \]

Where:

\( b \) — Second semi axis (m)
\( V \) — Surface area of the ellipsoid (m²)
\( a \) — First semi axis (m)
\( c \) — Third semi axis (m)
\( \pi \) — Mathematical constant Pi (≈3.1416)

Explanation: This formula calculates the second semi axis based on the given surface area and the other two semi axes of the ellipsoid.

3. Importance of Second Semi Axis Calculation

Details: Calculating the second semi axis is crucial for understanding the complete geometry of an ellipsoid, which has applications in physics, engineering, astronomy, and various scientific fields where three-dimensional shapes are studied.

4. Using the Calculator

Tips: Enter the surface area in square meters, and the first and third semi axes in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an ellipsoid?
A: An ellipsoid is a three-dimensional geometric shape that is a deformation of a sphere, defined by three perpendicular axes of different lengths.

Q2: How is the second semi axis different from the other axes?
A: The three semi axes (a, b, c) represent the radii in the x, y, and z directions respectively. The second semi axis (b) is typically the intermediate length among the three.

Q3: Can this calculator be used for spheres?
A: Yes, for a sphere where all three semi axes are equal, the formula will yield the correct radius value.

Q4: What are practical applications of ellipsoid calculations?
A: Ellipsoids are used in geodesy for Earth modeling, in physics for wave propagation studies, in medicine for tumor modeling, and in computer graphics for 3D object representation.

Q5: Are there limitations to this calculation?
A: The calculation assumes a perfect ellipsoid shape and may not account for irregularities or deformations in real-world objects.