Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Calculator

✖Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.ⓘ Helix angle of screw [α]			+10% -10%
✖Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.ⓘ Efficiency of power screw [η]			+10% -10%

✖Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.ⓘ Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw [μ]

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Formula

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Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw

Formula

`"μ" = (tan("α")*(1-"η"))/(tan("α")*tan("α")+"η")`

Example

`"0.143619"=(tan("4.5°")*(1-"0.35"))/(tan("4.5°")*tan("4.5°")+"0.35")`

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Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)
μ = (tan(α)*(1-η))/(tan(α)*tan(α)+η)
This formula uses 1 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)

Variables Used

Coefficient of friction at screw thread - Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.
Helix angle of screw - (Measured in Radian) - Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.
Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

STEP 1: Convert Input(s) to Base Unit

Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Efficiency of power screw: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (tan(α)*(1-η))/(tan(α)*tan(α)+η) --> (tan(0.0785398163397301)*(1-0.35))/(tan(0.0785398163397301)*tan(0.0785398163397301)+0.35)

Evaluating ... ...

μ = 0.143618689179505

STEP 3: Convert Result to Output's Unit

0.143618689179505 --> No Conversion Required

FINAL ANSWER

0.143618689179505 ≈ 0.143619 <-- Coefficient of friction at screw thread

(Calculation completed in 00.004 seconds)

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< 16 Torque Requirement in Lifting Load using Square Threaded Screw Calculators

Coefficient of Friction of Power Screw given Torque Required to Lift Load

Go Coefficient of friction at screw thread = ((2*Torque for lifting load/Mean Diameter of Power Screw)-Load on screw*tan(Helix angle of screw))/(Load on screw-(2*Torque for lifting load/Mean Diameter of Power Screw)*tan(Helix angle of screw))

Helix Angle of Power Screw given Torque Required to Lift Load

Go Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw))

Load on Power Screw given Torque Required to Lift Load

Go Load on screw = (2*Torque for lifting load/Mean Diameter of Power Screw)*((1-Coefficient of friction at screw thread*tan(Helix angle of screw))/(Coefficient of friction at screw thread+tan(Helix angle of screw)))

Torque Required to Lift Load given Load

Go Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Efficiency of Square Threaded Power Screw

Go Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw

Go Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)

Coefficient of Friction of Power Screw given Effort Required to Lift Load

Go Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(Load on screw+Effort in lifting load*tan(Helix angle of screw))

Helix Angle of Power Screw given Effort Required to Lift Load

Go Helix angle of screw = atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread)/(Effort in lifting load*Coefficient of friction at screw thread+Load on screw))

Load on Power Screw given Effort Required to Lift Load

Go Load on screw = Effort in lifting load/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Effort Required in Lifting load using Power Screw

Go Effort in lifting load = Load on screw*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Maximum Efficiency of Square Threaded Screw

Go Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))

External Torque required to raise Load given Efficiency

Go Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)

Load on Screw given Overall Efficiency

Go Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw

Effort Required to Lift Load given Torque Required to Lift Load

Go Effort in lifting load = 2*Torque for lifting load/Mean Diameter of Power Screw

Mean Diameter of Power Screw given Torque Required to Lift Load

Go Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load

Torque Required to Lift Load given Effort

Go Torque for lifting load = Effort in lifting load*Mean Diameter of Power Screw/2

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Formula

Define Coefficient of Friction?

Coefficient of friction is defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact, the ratio usually being larger for starting than for moving friction.

How to Calculate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw?

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw calculator uses Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw) to calculate the Coefficient of friction at screw thread, Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw formula is defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact. Coefficient of friction at screw thread is denoted by μ symbol.

How to calculate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw using this online calculator? To use this online calculator for Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw, enter Helix angle of screw (α) & Efficiency of power screw (η) and hit the calculate button. Here is how the Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw calculation can be explained with given input values -> 0.143619 = (tan(0.0785398163397301)*(1-0.35))/(tan(0.0785398163397301)*tan(0.0785398163397301)+0.35).

FAQ

What is Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw?

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw formula is defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact and is represented as μ = (tan(α)*(1-η))/(tan(α)*tan(α)+η) or Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw). Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix & Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

How to calculate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw?

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw formula is defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact is calculated using Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw). To calculate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw, you need Helix angle of screw (α) & Efficiency of power screw (η). With our tool, you need to enter the respective value for Helix angle of screw & Efficiency of power 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 Coefficient of friction at screw thread?

In this formula, Coefficient of friction at screw thread uses Helix angle of screw & Efficiency of power screw. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(Load on screw+Effort in lifting load*tan(Helix angle of screw))
Coefficient of friction at screw thread = ((2*Torque for lifting load/Mean Diameter of Power Screw)-Load on screw*tan(Helix angle of screw))/(Load on screw-(2*Torque for lifting load/Mean Diameter of Power Screw)*tan(Helix angle of screw))

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