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

✖Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load.ⓘ Torque for lifting load [Mt_li]			+10% -10%
✖Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.ⓘ Mean Diameter of Power Screw [d_m]			+10% -10%
✖Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.ⓘ Load on screw [W]			+10% -10%
✖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%

✖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 of Power Screw given Torque Required to Lift Load [μ]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
μ = ((2*Mt_li/d_m)-W*tan(α))/(W-(2*Mt_li/d_m)*tan(α))
This formula uses 1 Functions, 5 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.
Torque for lifting load - (Measured in Newton Meter) - Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load.
Mean Diameter of Power Screw - (Measured in Meter) - Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.
Load on screw - (Measured in Newton) - Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.
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.

STEP 1: Convert Input(s) to Base Unit

Torque for lifting load: 9265 Newton Millimeter --> 9.265 Newton Meter (Check conversion here)
Mean Diameter of Power Screw: 46 Millimeter --> 0.046 Meter (Check conversion here)
Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = ((2*Mt_li/d_m)-W*tan(α))/(W-(2*Mt_li/d_m)*tan(α)) --> ((2*9.265/0.046)-1700*tan(0.0785398163397301))/(1700-(2*9.265/0.046)*tan(0.0785398163397301))

Evaluating ... ...

μ = 0.16126217428742

STEP 3: Convert Result to Output's Unit

0.16126217428742 --> No Conversion Required

FINAL ANSWER

0.16126217428742 ≈ 0.161262 <-- Coefficient of friction at screw thread

(Calculation completed in 00.004 seconds)

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< Torque Requirement in Lifting Load using Square Threaded Screw Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)))

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

LaTeX Go

Define Friction?

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.

How to Calculate Coefficient of Friction of Power Screw given Torque Required to Lift Load?

Coefficient of Friction of Power Screw given Torque Required to Lift Load calculator uses 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)) to calculate the Coefficient of friction at screw thread, Coefficient of Friction of Power Screw given Torque Required to Lift Load formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together. Coefficient of friction at screw thread is denoted by μ symbol.

How to calculate Coefficient of Friction of Power Screw given Torque Required to Lift Load using this online calculator? To use this online calculator for Coefficient of Friction of Power Screw given Torque Required to Lift Load, enter Torque for lifting load (Mt_li), Mean Diameter of Power Screw (d_m), Load on screw (W) & Helix angle of screw (α) and hit the calculate button. Here is how the Coefficient of Friction of Power Screw given Torque Required to Lift Load calculation can be explained with given input values -> 0.161262 = ((2*9.265/0.046)-1700*tan(0.0785398163397301))/(1700-(2*9.265/0.046)*tan(0.0785398163397301)).

FAQ

What is Coefficient of Friction of Power Screw given Torque Required to Lift Load?

Coefficient of Friction of Power Screw given Torque Required to Lift Load formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together and is represented as μ = ((2*Mt_li/d_m)-W*tan(α))/(W-(2*Mt_li/d_m)*tan(α)) or 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)). Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load, Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface, Load on screw is defined as the weight (force) of the body that is acted upon the screw threads & Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

How to calculate Coefficient of Friction of Power Screw given Torque Required to Lift Load?

Coefficient of Friction of Power Screw given Torque Required to Lift Load formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together is calculated using 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)). To calculate Coefficient of Friction of Power Screw given Torque Required to Lift Load, you need Torque for lifting load (Mt_li), Mean Diameter of Power Screw (d_m), Load on screw (W) & Helix angle of screw (α). With our tool, you need to enter the respective value for Torque for lifting load, Mean Diameter of Power Screw, Load on screw & Helix angle 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 Coefficient of friction at screw thread?

In this formula, Coefficient of friction at screw thread uses Torque for lifting load, Mean Diameter of Power Screw, Load on screw & Helix angle of 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 = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)

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