Taper Length Formula:
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Definition: This calculator determines the length of a taper between two diameters at a specified angle.
Purpose: It helps engineers, machinists, and designers calculate the required length for tapered components in mechanical and construction applications.
The calculator uses the formula:
Where:
Explanation: The difference in diameters is divided by twice the tangent of the taper angle to determine the required length.
Details: Accurate taper calculations ensure proper fit of mechanical components, correct tool paths for machining, and structural integrity in construction.
Tips: Enter both diameters in meters and the taper angle in degrees (must be between 0 and 90°). The larger diameter should be greater than the smaller diameter.
Q1: What's the difference between taper angle and taper ratio?
A: Taper angle is the included angle of the taper, while taper ratio is the diameter difference per unit length.
Q2: How do I measure taper angle?
A: Use a protractor or calculate it from measurements: θ = arctan((Dlarge - Dsmall)/(2L))
Q3: Can I use this for metric and imperial units?
A: The calculator uses meters, but you can use any consistent units (e.g., inches for diameters will give inches for length).
Q4: What's a typical taper angle?
A: Common angles include Morse tapers (1.49° to 3°), Jarno tapers (~0.6°), and pipe threads (1.79°).
Q5: How does this relate to taper per foot?
A: Taper per foot = (Dlarge - Dsmall)/L × 12 (for inches/foot conversion).