Wall Thickness of Hollow Cylinder given Volume and Inner Radius Calculator

Wall Thickness of Hollow Cylinder Formula:

\[ t_{Wall} = \sqrt{\frac{V}{\pi \cdot h} + r_{Inner}^2} - r_{Inner} \]

Volume of Hollow Cylinder (V):

m³

Height of Hollow Cylinder (h):

Inner Radius of Hollow Cylinder (r_Inner):

Wall Thickness of Hollow Cylinder (t_Wall):

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1. What is the Wall Thickness of Hollow Cylinder?

The Wall Thickness of Hollow Cylinder refers to the measure of the distance between the inner and outer surfaces of the Hollow Cylinder. It is a crucial parameter in engineering and manufacturing applications where structural integrity and material usage are important considerations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_{Wall} = \sqrt{\frac{V}{\pi \cdot h} + r_{Inner}^2} - r_{Inner} \]

Where:

\( t_{Wall} \) — Wall Thickness of Hollow Cylinder (m)
\( V \) — Volume of Hollow Cylinder (m³)
\( \pi \) — Archimedes' constant (≈ 3.1416)
\( h \) — Height of Hollow Cylinder (m)
\( r_{Inner} \) — Inner Radius of Hollow Cylinder (m)

Explanation: This formula calculates the wall thickness by first determining the outer radius from the given volume and inner radius, then subtracting the inner radius from the outer radius.

3. Importance of Wall Thickness Calculation

Details: Accurate wall thickness calculation is essential for structural design, pressure vessel applications, piping systems, and mechanical components where wall thickness directly affects strength, weight, and performance characteristics.

4. Using the Calculator

Tips: Enter volume in cubic meters, height in meters, and inner radius in meters. All values must be positive numbers (volume > 0, height > 0, inner radius ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses meters for all linear dimensions and cubic meters for volume. You can convert from other units before entering values.

Q2: Can this calculator handle imperial units?
A: The calculator is designed for metric units. Convert imperial measurements to metric before calculation (1 inch = 0.0254 m, 1 cubic foot = 0.0283168 m³).

Q3: What if I get a negative result?
A: A negative result indicates invalid input values. Check that the volume is sufficient for the given inner radius and height combination.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect cylindrical shapes. Real-world applications may require considering manufacturing tolerances and material properties.

Q5: Can this formula be used for pressure vessel design?
A: While this calculates geometric wall thickness, pressure vessel design requires additional considerations for pressure, material strength, and safety factors.