Long Height of Cut Cylinder given Total Surface Area Calculator

Long Height Formula:

\[ h_{Long} = \frac{TSA}{\pi \times r} - r - b - h_{Short} \]

Total Surface Area:

m²

Radius:

Semi Minor Axis:

Short Height:

Tolerance:

Long Height (m):

Tolerance Range (m):

1. What is Long Height of Cut Cylinder?

Definition: Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

Purpose: This calculation is essential in engineering and architecture when working with cylindrical sections that have been cut at an angle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_{Long} = \frac{TSA}{\pi \times r} - r - b - h_{Short} \]

Where:

\( h_{Long} \) — Long Height of Cut Cylinder (meters)
\( TSA \) — Total Surface Area (square meters)
\( r \) — Radius of Cut Cylinder (meters)
\( b \) — Semi Minor Axis (meters)
\( h_{Short} \) — Short Height of Cut Cylinder (meters)

3. Importance of Tolerance

Details: The ±5% tolerance accounts for measurement variations and material inconsistencies in real-world applications.

4. Using the Calculator

Tips: Enter all required dimensions in meters. The tolerance defaults to 5% but can be adjusted as needed.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between long and short height?
A: The long height is the maximum vertical distance, while the short height is the minimum vertical distance due to the angled cut.

Q2: How is the semi-minor axis determined?
A: It's half the length of the minor axis of the elliptical face created by the angled cut.

Q3: When would I adjust the tolerance?
A: Increase tolerance for rough estimates or decrease for precision work where tighter tolerances are required.

Q4: Can this calculator be used for partial cylinders?
A: Yes, as long as the cut creates an elliptical face and you have all required measurements.

Q5: What units should I use?
A: All inputs should be in meters for consistent results. Convert from other units before calculation.