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

✖Effort in lifting load is the force required to overcome the resistance to lift the load.ⓘ Effort in lifting load [P_li]			+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 Effort Required to Lift Load [μ]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
μ = (P_li-W*tan(α))/(W+P_li*tan(α))
This formula uses 1 Functions, 4 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.
Effort in lifting load - (Measured in Newton) - Effort in lifting load is the force required to overcome the resistance to lift the load.
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

Effort in lifting load: 402 Newton --> 402 Newton No Conversion Required
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 = (P_li-W*tan(α))/(W+P_li*tan(α)) --> (402-1700*tan(0.0785398163397301))/(1700+402*tan(0.0785398163397301))

Evaluating ... ...

μ = 0.154886347525131

STEP 3: Convert Result to Output's Unit

0.154886347525131 --> No Conversion Required

FINAL ANSWER

0.154886347525131 ≈ 0.154886 <-- Coefficient of friction at screw thread

(Calculation completed in 00.020 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 Effort Required to Lift Load Formula

LaTeX Go

Define Helix Angle?

In mechanical engineering, a helix angle is the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears.The helix angle is crucial in mechanical engineering applications that involve power transfer and motion conversion. Some examples are outlined below, though its use is much more widely spread.

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

Coefficient of Friction of Power Screw given Effort Required to Lift Load calculator uses 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)) to calculate the Coefficient of friction at screw thread, Coefficient of Friction of Power Screw given Effort Required to Lift Load 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. Coefficient of friction at screw thread is denoted by μ symbol.

How to calculate Coefficient of Friction of Power Screw given Effort Required to Lift Load using this online calculator? To use this online calculator for Coefficient of Friction of Power Screw given Effort Required to Lift Load, enter Effort in lifting load (P_li), 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 Effort Required to Lift Load calculation can be explained with given input values -> 0.154886 = (402-1700*tan(0.0785398163397301))/(1700+402*tan(0.0785398163397301)).

FAQ

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

Coefficient of Friction of Power Screw given Effort Required to Lift Load 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 and is represented as μ = (P_li-W*tan(α))/(W+P_li*tan(α)) or 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)). Effort in lifting load is the force required to overcome the resistance to lift the load, 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 Effort Required to Lift Load?

Coefficient of Friction of Power Screw given Effort Required to Lift Load 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 is calculated using 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)). To calculate Coefficient of Friction of Power Screw given Effort Required to Lift Load, you need Effort in lifting load (P_li), Load on screw (W) & Helix angle of screw (α). With our tool, you need to enter the respective value for Effort in lifting load, 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 Effort in lifting load, 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 = ((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))
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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