Helix Angle Calculator

✖Lead of Screw is the linear travel the nut makes per one screw revolution and is how ball screws are typically specified.ⓘ Lead of Screw [L]			+10% -10%
✖Circumference of Screw is calculated by measuring the diameter of the screw and multiplying by pi.ⓘ Circumference of Screw [C]			+10% -10%

✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle [ψ]

⎘ Copy

👎

Formula

✖

Helix Angle

Formula

`"ψ" = atan("L"/"C")`

Example

`"0.054805°"=atan("0.011m"/"11.5m")`

Calculator

LaTeX

Reset

👍

Download Friction Devices Formulas PDF PDF Image

Helix Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Helix Angle = atan(Lead of Screw/Circumference of Screw)
ψ = atan(L/C)
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
Lead of Screw - (Measured in Meter) - Lead of Screw is the linear travel the nut makes per one screw revolution and is how ball screws are typically specified.
Circumference of Screw - (Measured in Meter) - Circumference of Screw is calculated by measuring the diameter of the screw and multiplying by pi.

STEP 1: Convert Input(s) to Base Unit

Lead of Screw: 0.011 Meter --> 0.011 Meter No Conversion Required
Circumference of Screw: 11.5 Meter --> 11.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = atan(L/C) --> atan(0.011/11.5)

Evaluating ... ...

ψ = 0.00095652144741256

STEP 3: Convert Result to Output's Unit

0.00095652144741256 Radian -->0.0548046419504947 Degree (Check conversion here)

FINAL ANSWER

0.0548046419504947 ≈ 0.054805 Degree <-- Helix Angle

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Friction Devices » Screw and Nut » Helix Angle

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 9 Screw and Nut Calculators

Force at Circumference of Screw given Helix Angle and Coefficient of Friction

Go Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle)))

Torque Required to Overcome Friction between Screw and Nut during Lowering Load

Go Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2

Torque Required to Overcome Friction between Screw and Nut while Lowering Load

Go Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2

Torque Required to Overcome Friction between Screw and Nut

Go Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2

Helix Angle for Multi-Threaded Screw

Go Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))

Force at Circumference of Screw given Helix Angle and Limiting Angle

Go Force Required = Load*tan(Helix Angle+Limiting Angle of Friction)

Helix Angle for Single Threaded Screw

Go Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw))

Helix Angle

Go Helix Angle = atan(Lead of Screw/Circumference of Screw)

Lead of Screw

Go Lead of Screw = Pitch*Number of Threads

Helix Angle Formula

Helix Angle = atan(Lead of Screw/Circumference of Screw)
ψ = atan(L/C)

What is helix angle in thread?

The thread angle is the angle produced between the threads. For a straight thread, where the lead of the thread and the pitch diameter circle circumference form a right angled triangle, the helix angle is the angle opposite the lead.

How do you find the helix angle?

In terms specific to screws, the helix angle can be found by unraveling the helix from the screw, representing the section as a right triangle, and calculating the angle that is formed.

How to Calculate Helix Angle?

Helix Angle calculator uses Helix Angle = atan(Lead of Screw/Circumference of Screw) to calculate the Helix Angle, Helix Angle is the angle produced between the threads. Helix Angle is denoted by ψ symbol.

How to calculate Helix Angle using this online calculator? To use this online calculator for Helix Angle, enter Lead of Screw (L) & Circumference of Screw (C) and hit the calculate button. Here is how the Helix Angle calculation can be explained with given input values -> 3.140075 = atan(0.011/11.5).

FAQ

What is Helix Angle?

Helix Angle is the angle produced between the threads and is represented as ψ = atan(L/C) or Helix Angle = atan(Lead of Screw/Circumference of Screw). Lead of Screw is the linear travel the nut makes per one screw revolution and is how ball screws are typically specified & Circumference of Screw is calculated by measuring the diameter of the screw and multiplying by pi.

How to calculate Helix Angle?

Helix Angle is the angle produced between the threads is calculated using Helix Angle = atan(Lead of Screw/Circumference of Screw). To calculate Helix Angle, you need Lead of Screw (L) & Circumference of Screw (C). With our tool, you need to enter the respective value for Lead of Screw & Circumference of Screw and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Helix Angle?

In this formula, Helix Angle uses Lead of Screw & Circumference of Screw. We can use 2 other way(s) to calculate the same, which is/are as follows -

Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))
Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw))

Home

FREE PDFs

🔍 Search