1. What is Semi Minor Axis of Elliptic Cylinder?

The Semi Minor Axis of Elliptic Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Elliptic Cylinder. It represents the shorter radius of the elliptical cross-section.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Semi Minor Axis (m)
• \( LSA \) — Lateral Surface Area (m²)
• \( h \) — Height of Elliptic Cylinder (m)
• \( a \) — Semi Major Axis (m)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the semi minor axis by rearranging the lateral surface area formula of an elliptic cylinder.

3. Importance of Semi Minor Axis Calculation

Details: Calculating the semi minor axis is essential for determining the complete geometric properties of an elliptic cylinder, including volume, surface area, and other dimensional characteristics.

4. Using the Calculator

Tips: Enter lateral surface area in square meters, height in meters, and semi major axis in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between semi major and semi minor axes?
A: The semi major axis is always equal to or greater than the semi minor axis in an ellipse. They represent the longest and shortest radii respectively.

Q2: Can the semi minor axis be zero?
A: No, the semi minor axis must be a positive value greater than zero for a valid elliptic cylinder.

Q3: What happens if the calculated semi minor axis is negative?
A: A negative result indicates invalid input values where the lateral surface area is insufficient given the height and semi major axis.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of elliptic cylinders.

Q5: Can this formula be used for other cylinder types?
A: No, this specific formula applies only to elliptic cylinders with elliptical cross-sections.