Taper per Inch Calculator Degrees

What is Taper Per Inch?

Taper per inch refers to the rate at which a material tapers or narrows over a one-inch length. It's measured in degrees and is crucial in industries where precise dimensions are required.

For example, in woodworking, a 45° taper per inch means the material narrows by 45 degrees over each inch of length. This measurement helps ensure consistent tapering in joints, moldings, and other components.

How to Calculate Taper

Calculating taper per inch involves measuring the change in width over a specific length and converting it to degrees. Here's the step-by-step process:

1. Measure the width at the beginning of the tapered section (W₁).
2. Measure the width at the end of the tapered section (W₂).
3. Calculate the difference in width (ΔW = W₁ - W₂).
4. Measure the length of the tapered section (L).
5. Calculate the taper per inch in degrees using the formula:

   Taper per inch (θ) = arctan(ΔW / L) × (180/π)

For example, if a material tapers from 2 inches to 1.5 inches over a 1-inch length:

• ΔW = 2 - 1.5 = 0.5 inches
• L = 1 inch
• θ = arctan(0.5/1) × (180/π) ≈ 26.565° per inch

Common Taper Values

Different industries use standard taper values for specific applications. Here are some common examples:

These values are guidelines and may vary based on specific project requirements.

Taper vs. Angle

While both taper and angle measure the slope of a material, they serve different purposes:

• Angle measures the slope between two points, typically in degrees from the horizontal.
• Taper measures the rate of change over a specific length, also in degrees per inch.

For example, a 45° angle means the material is sloped at 45 degrees from the horizontal. A 45° taper per inch means the material narrows by 45 degrees over each inch of length.