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Taper Angle Formula:
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The taper angle is the angle formed by the sides of a tapered object, such as a cone or a tapered shaft. It's commonly used in machining, engineering, and manufacturing to describe the gradual reduction in diameter of a cylindrical object.
The calculator uses the taper angle formula:
Where:
Explanation: The formula calculates the angle by first finding the difference in diameters, dividing by twice the length to get the tangent of half the angle, then converting to degrees and doubling to get the full taper angle.
Details: Accurate taper angle calculation is crucial for proper fitting of machine parts, tool design, and ensuring compatibility between mating components in mechanical systems.
Tips: Enter all diameters and length in inches. All values must be positive numbers. The large diameter should be greater than the small diameter for meaningful results.
Q1: What's the difference between taper angle and taper ratio?
A: Taper angle is the included angle in degrees, while taper ratio is the ratio of diameter difference to length (D-d)/L.
Q2: How do I measure taper angle in practice?
A: You can use precision calipers to measure diameters at two points a known distance apart, then calculate using this formula.
Q3: What are common taper angles in machining?
A: Common tapers include Morse tapers (≈1.5°), Jarno tapers (0.6° per side), and NMTB tapers (3.5° included angle).
Q4: Can this calculator be used for metric measurements?
A: Yes, as long as all measurements use the same units (e.g., all in mm), the angle result will be correct.
Q5: What if my taper isn't perfect?
A: For non-perfect tapers, take multiple measurements along the length and average them for best results.