Efficiency of Acme 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 Acme Threaded Power Screw [η]

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Efficiency of Acme Threaded Power Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.253))/(Coefficient of friction at screw thread*sec(0.253)+tan(Helix angle of screw))
η = tan(α)*(1-μ*tan(α)*sec(0.253))/(μ*sec(0.253)+tan(α))
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)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(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)*(1-μ*tan(α)*sec(0.253))/(μ*sec(0.253)+tan(α)) --> tan(0.0785398163397301)*(1-0.15*tan(0.0785398163397301)*sec(0.253))/(0.15*sec(0.253)+tan(0.0785398163397301))

Evaluating ... ...

η = 0.332751727171352

STEP 3: Convert Result to Output's Unit

0.332751727171352 --> No Conversion Required

FINAL ANSWER

0.332751727171352 ≈ 0.332752 <-- Efficiency of power screw

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Acme Thread Calculators

Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

LaTeX 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*sec(0.253*pi/180))/(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.253*pi/180)))

Coefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread

LaTeX Go Coefficient of friction at screw thread = (2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.253)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw)))

Torque Required in Lifting Load with Acme Threaded Power Screw

LaTeX Go Torque for lifting load = 0.5*Mean Diameter of Power Screw*Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw)))

Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

LaTeX Go Load on screw = 2*Torque for lifting load*(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Mean Diameter of Power Screw*(Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw)))

Efficiency of Acme Threaded Power Screw Formula

LaTeX Go

What are the main factors that determine Screw Efficiency?

Two main factors play a part in determining a screw’s efficiency: the lead angle of the screw and the amount of friction in the screw assembly. Efficiency is the primary indicator of whether a screw will back drive or not the higher the efficiency, the more likely the screw is to back drive when an axial force is applied.

How to Calculate Efficiency of Acme Threaded Power Screw?

Efficiency of Acme Threaded Power Screw calculator uses Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.253))/(Coefficient of friction at screw thread*sec(0.253)+tan(Helix angle of screw)) to calculate the Efficiency of power screw, Efficiency of Acme Threaded Power Screw formula refers to how well it converts rotary energy into linear energy or motion. Efficiency of power screw is denoted by η symbol.

How to calculate Efficiency of Acme Threaded Power Screw using this online calculator? To use this online calculator for Efficiency of Acme 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 Acme Threaded Power Screw calculation can be explained with given input values -> 0.332752 = tan(0.0785398163397301)*(1-0.15*tan(0.0785398163397301)*sec(0.253))/(0.15*sec(0.253)+tan(0.0785398163397301)).

FAQ

What is Efficiency of Acme Threaded Power Screw?

Efficiency of Acme Threaded Power Screw formula refers to how well it converts rotary energy into linear energy or motion and is represented as η = tan(α)*(1-μ*tan(α)*sec(0.253))/(μ*sec(0.253)+tan(α)) or Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.253))/(Coefficient of friction at screw thread*sec(0.253)+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 Acme Threaded Power Screw?

Efficiency of Acme Threaded Power Screw formula refers to how well it converts rotary energy into linear energy or motion is calculated using Efficiency of power screw = tan(Helix angle of screw)*(1-Coefficient of friction at screw thread*tan(Helix angle of screw)*sec(0.253))/(Coefficient of friction at screw thread*sec(0.253)+tan(Helix angle of screw)). To calculate Efficiency of Acme 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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