Understanding Bowl Segment Calculations
This calculator determines the segment lengths and angles for a segmented wooden bowl, commonly used in woodworking to create turned bowls. Each segment forms part of a circular ring, glued together and turned on a lathe.
The outer segment length is calculated as 2 * Radius * sin(π / Number of Segments). The inner length accounts for material thickness. The segment angle is 360° / Number of Segments. These values ensure precise cuts for a seamless bowl.
Segment Length Examples
| Diameter (in) | Segments | Outer Length (in) | Inner Length (in) | Angle (°) | Application |
|---|---|---|---|---|---|
| 12 | 8 | 4.71 | 4.21 | 45 | Small bowl |
| 16 | 12 | 4.19 | 3.69 | 30 | Medium bowl |
| 20 | 16 | 3.92 | 3.42 | 22.5 | Large bowl |
How to Use the Bowl Segment Calculator
- Enter the bowl’s diameter (in inches or centimeters).
- Enter the number of segments (e.g., 8, 12, 16).
- Enter the material thickness (in inches or centimeters).
- Select the unit (inches or centimeters).
- Click "Calculate Segment Parameters" to see the outer and inner segment lengths and segment angle.
Segment Length Comparison
Outer segment lengths for different segment counts (12 in diameter).
Frequently Asked Questions
Why are inner and outer segment lengths different?
The inner length is shorter due to the material thickness, which reduces the inner radius of the segmented ring.
How does the number of segments affect the bowl?
More segments create a smoother, more circular bowl but require more precise cuts and assembly.