Our handy taper calculator is used to determine the gradual narrowing or widening of cylindrical objects and helps in calculating the angle, diameter change, and length of tapered sections.
A digital taper calculator allow you to input the larger diameter, smaller diameter, and length of a tapered section. It then uses these values to compute the taper angle and rate of taper.
Taper Calculator
| Initial Diameter (mm) | Final Diameter (mm) | Length (mm) | Taper (mm/mm) | Taper Angle (°) |
|---|---|---|---|---|
| 50 | 45 | 100 | 0.05 | 1.43 |
| 80 | 60 | 200 | 0.10 | 2.86 |
| 100 | 90 | 250 | 0.04 | 1.15 |
| 30 | 25 | 50 | 0.10 | 2.86 |
| 60 | 40 | 100 | 0.20 | 5.71 |
Taper Calculation Formula
The fundamental taper calculation formula is:
Taper = (D - d) / LWhere:
- D = Larger diameter
- d = Smaller diameter
- L = Length of the tapered section
This formula yields the taper per unit length.
To obtain the taper angle, we use:
Taper Angle = arctan((D - d) / (2 * L))A shaft with a larger diameter of 50mm, smaller diameter of 30mm, and length of 100mm.
- Taper = (50 – 30) / 100 = 0.2 mm/mm
- Taper Angle = arctan((50 – 30) / (2 * 100)) ≈ 5.71°
How do you calculate taper?
Calculating taper involves several steps:
- Measure the larger and smaller diameters
- Determine the length of the tapered section
- Apply the taper formula
- Convert to desired units if necessary
A conical flask has a base diameter of 15cm, top diameter of 5cm, and height of 25cm.
- D = 15cm, d = 5cm, L = 25cm
- Taper = (15 – 5) / 25 = 0.4 cm/cm
- Taper Angle = arctan((15 – 5) / (2 * 25)) ≈ 11.31°
What is the taper turning formula?
The taper turning formula is used in lathe operations to determine the compound slide angle for creating tapers:
Compound Slide Angle = arctan((D - d) / (2 * L))This formula is identical to the taper angle calculation.
To turn a taper from 40mm to 35mm over a length of 50mm:
Compound Slide Angle = arctan((40 - 35) / (2 * 50)) ≈ 2.86°How many degrees is a taper per foot?
Taper is often expressed in degrees per foot for standardization. To convert taper per unit length to degrees per foot:
Degrees per foot = arctan(Taper) * (180 / π) * 12A taper of 1/4 inch per foot:
- Taper = 1/4 inch / 12 inches = 0.0208
- Degrees per foot = arctan(0.0208) (180 / π) 12 ≈ 1.19°
How to calculate taper 1:50?
A taper ratio of 1:50 means the diameter changes by 1 unit for every 50 units of length.
To calculate Convert the ratio to decimal: 1/50 = 0.02
For a 1:50 taper over 200mm:
Taper = 0.02
Diameter change = 0.02 * 200 = 4mm
If starting diameter is 30mm, end diameter is 26mm
Taper Angle = arctan(0.02 / 2) ≈ 0.57°
Sources / References
Related Tools:
