Wall Thickness Of Hollow Cylinder Given Volume And Outer Radius Calculator

Wall Thickness of Hollow Cylinder Formula:

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

Outer Radius of Hollow Cylinder (rOuter):

Volume of Hollow Cylinder (V):

m³

Height of Hollow Cylinder (h):

Wall Thickness of Hollow Cylinder (tWall):

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1. What is the Wall Thickness of Hollow Cylinder?

The Wall Thickness of a Hollow Cylinder refers to the measure of the distance between the inner and outer surfaces of the Hollow Cylinder. It is a critical parameter in engineering and manufacturing applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( t_{Wall} \) — Wall Thickness of Hollow Cylinder (m)
\( r_{Outer} \) — Outer Radius of Hollow Cylinder (m)
\( V \) — Volume of Hollow Cylinder (m³)
\( h \) — Height of Hollow Cylinder (m)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the wall thickness by subtracting the inner radius (derived from volume and height) from the outer radius.

3. Importance of Wall Thickness Calculation

Details: Accurate wall thickness calculation is crucial for structural integrity, pressure containment, weight optimization, and material cost estimation in cylindrical structures.

4. Using the Calculator

Tips: Enter outer radius in meters, volume in cubic meters, and height in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for input values?
A: The calculator uses meters for length dimensions and cubic meters for volume. Ensure all inputs are in consistent units.

Q2: Can this formula be used for any hollow cylinder?
A: Yes, this formula applies to all right circular hollow cylinders with uniform wall thickness.

Q3: What if I get a negative result for wall thickness?
A: A negative result indicates invalid input values where the calculated inner radius exceeds the outer radius, which is physically impossible.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect cylindrical shapes with uniform dimensions.

Q5: Can I use different units for input?
A: Yes, but all length dimensions must use the same unit system (e.g., all in centimeters or all in inches).