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Taper Calculator

Simply enter the larger diameter, smaller diameter, and length into the online Taper Calculator to instantly get the taper measurement.

(Minor Diameter):

m ▾

(Major Diameter):

m ▾

(Taper Angle):

in ▾

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Calculate the correct change in the diameter of a workpiece with the help of an online taper calculator to align all machine parts quickly and precisely. Get 100% accurate results within seconds.

What Is a Taper?

Taper refers to a gradual decrease in the thickness or diameter of an object. It is a uniform reduction in size over a specified length. Typically, a tapered section of a pipe or workpiece reduces in diameter from a larger end to a smaller end. Using a taper calculator ensures all machine parts are aligned correctly.

Taper Formula

To calculate taper and the taper angle:

T = (Dl – Ds) / L

Taper Angle (TA) = arctan(0.5 × T)

Where:

T = Taper
Dl = Larger diameter
Ds = Smaller diameter
L = Length of the taper
TA = Taper angle

You can calculate taper manually, or instantly using an online Taper Calculator.

How To Measure Taper

Measure the larger and smaller diameters of the workpiece.
Measure the total length from the larger to the smaller diameter.
Apply the values in the taper formula to find taper and taper angle.

Example:

Larger diameter (Dl) = 10 ft
Smaller diameter (Ds) = 7 ft
Length (L) = 4 ft

Step 1 – Taper Calculation:
T = (10 – 7) / 4 = 3 / 4 = 0.75
Taper Ratio = 3:4

Step 2 – Taper in Feet:
1 inch = 0.0833333 ft → 0.75 × 0.0833333 ≈ 0.625 ft

Step 3 – Taper Angle:
TA = arctan(0.5 × T) = arctan(0.5 × 0.75) ≈ 20.556°

For quick calculations, use an online taper per foot calculator by entering diameters and taper length.

Types of Tapers

Tapers can be classified by:

Class
Use
Size

Class Category:

Self-Holding Taper
Quick Releasing Taper

Use Category:

Internal Taper
External Taper

Size Category:

Brown and Sharpe Taper
Metric Taper
Morse Taper
Jarno Taper
Standard Pin Taper
Jacobs Taper

Brown and Sharpe Taper Table

Size	Lg. Dia.	Sm. Dia.	Length	Taper (in/ft)	Taper (in/in)
1	0.2392	0.2000	0.94	0.5020	0.04183
2	0.2997	0.2500	1.19	0.5020	0.04183
3	0.3753	0.3125	1.50	0.5020	0.04183

How the Online Taper Calculator Works

Inputs:

Enter the major diameter, minor diameter, and length of the taper.
Click the "Calculate" button.

Outputs:

Taper length calculation
Taper angle calculation

FAQs

What is the use of taper?

Taper is used for mounting drill bits into chucks, plug-in adaptors, tool holders, and other machinery components.

What does taper 1 in 48 mean?

It means that over a 4-foot length, one end of the rod will have a 1-inch smaller diameter than the other end.

What is the taper ratio?

The taper ratio is the ratio of the tip diameter to the root diameter, commonly used in designing aircraft wings:

Taper ratio = C_tip / C_root

References

Keyence: Easy and Accurate Measurement of Tapers
Wikipedia: Machine Taper – Use and Types

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