🔻 Taper Calculator Live • AJAX style
Choose input mode
Tip: Angle mode lets you solve for missing taper length from the angle.
🔩 Major diameter (Dl)
larger end
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🎯 Minor diameter (Ds)
smaller end
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📏 Taper length (Tl)
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📐 Taper angle (θ)
degrees
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📐 Taper angle (θ)
input in degrees
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📏 Taper length (Tl)
auto
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📉 Taper (T)
unit-selectable
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🧮 Detail: TPI & TPF
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🧾 Step-by-step algebraic derivation
Enter values to see the algebra with your numbers.
Formulas shown match standard machining relations:
TPI = (Dl − Ds)/Tl,
TPF = 12 × TPI,
θ = arctan(TPI/2), and for angle mode
TPI = 2·tan(θ),
Tl = (Dl − Ds)/TPI.
📚 Reference table (units)
Unit conversions used: 1 in = 25.4 mm = 2.54 cm; 12 in = 1 ft; 36 in = 1 yd; 1 m = 39.37007874 in.
T representation:
T representation:
in/in = TPI
, in/ft = TPF = 12×TPI
, ft/yd = 3×TPI
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💡 Results update instantly as you type.