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Chord Calculator Circular Saw Bit

Chord Length Formula:

\[ c = 2 \times \sqrt{r² - (r - d)²} \]

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1. What is Chord Length for Circular Saw Bits?

The chord length represents the straight-line width of the cut made by a circular saw bit at a given depth. It's essential for understanding the cutting profile and ensuring proper bit selection for specific applications.

2. How Does the Calculator Work?

The calculator uses the chord length formula:

\[ c = 2 \times \sqrt{r² - (r - d)²} \]

Where:

Explanation: The formula calculates the straight-line distance between two points on a circle (the saw bit) at a specified depth from the edge.

3. Importance of Chord Calculation

Details: Knowing the chord length helps woodworkers and machinists predict the width of cut at different depths, ensuring proper bit selection for dadoes, grooves, and other joinery work.

4. Using the Calculator

Tips: Enter the bit radius and desired cut depth in consistent units (both in inches or both in mm). Depth cannot exceed the bit radius.

5. Frequently Asked Questions (FAQ)

Q1: Why is chord length important for circular saw bits?
A: It determines the actual cutting width at different depths, crucial for precise joinery and fitting operations.

Q2: How does this differ from the bit diameter?
A: The diameter is the maximum width (at full depth). Chord length shows the width at partial depths.

Q3: Can I use this for router bits too?
A: Yes, the formula applies to any circular cutting tool where you need to know the cutting width at partial depths.

Q4: What if my depth exceeds the bit radius?
A: The calculator won't compute as depth cannot exceed radius (that would be beyond the bit's capacity).

Q5: How precise should my measurements be?
A: For woodworking, 1/64" (0.015") precision is typically sufficient. For metalworking, greater precision may be needed.

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