Efficiency of Square Threaded Power 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%
✖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 at screw thread [μ]			+10% -10%

✖Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.ⓘ Efficiency of Square Threaded Power Screw [η]

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Efficiency of Square Threaded Power Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Coefficient of friction at screw thread: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = tan(α)/((μ+tan(α))/(1-μ*tan(α))) --> tan(0.0785398163397301)/((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301)))

Evaluating ... ...

η = 0.340061358115195

STEP 3: Convert Result to Output's Unit

0.340061358115195 --> No Conversion Required

FINAL ANSWER

0.340061358115195 ≈ 0.340061 <-- Efficiency of power screw

(Calculation completed in 00.008 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)))

Efficiency of Square Threaded Power Screw 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.

How to Calculate Efficiency of Square Threaded Power Screw?

Efficiency of Square Threaded Power Screw calculator uses 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))) to calculate the Efficiency of power screw, Efficiency of Square Threaded Power Screw formula is defined as a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go. Efficiency of power screw is denoted by η symbol.

How to calculate Efficiency of Square Threaded Power Screw using this online calculator? To use this online calculator for Efficiency of Square Threaded Power Screw, enter Helix angle of screw (α) & Coefficient of friction at screw thread (μ) and hit the calculate button. Here is how the Efficiency of Square Threaded Power Screw calculation can be explained with given input values -> 0.340061 = tan(0.0785398163397301)/((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301))).

FAQ

What is Efficiency of Square Threaded Power Screw?

Efficiency of Square Threaded Power Screw formula is defined as a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go and is represented as η = tan(α)/((μ+tan(α))/(1-μ*tan(α))) or 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))). Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix & 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.

How to calculate Efficiency of Square Threaded Power Screw?

Efficiency of Square Threaded Power Screw formula is defined as a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go is calculated using 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))). To calculate Efficiency of Square Threaded Power Screw, you need Helix angle of screw (α) & Coefficient of friction at screw thread (μ). With our tool, you need to enter the respective value for Helix angle of screw & Coefficient of friction at screw thread and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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