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Efficiency of Acme Threaded Screw Solution

STEP 0: Pre-Calculation Summary
Formula Used
efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180))
n = tan(α*pi/180)*(1-μ*tan(α*pi/180)*sec(14.5*pi/180))/(μ*sec(14.5*pi/180)+tan(α*pi/180))
This formula uses 2 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
tan - Trigonometric tangent function, tan(Angle)
sec - Trigonometric secant function, sec(Angle)
Variables Used
Helix Angle - Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit. (Measured in Degree)
Coefficient of Friction- The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1.
STEP 1: Convert Input(s) to Base Unit
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Coefficient of Friction: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = tan(α*pi/180)*(1-μ*tan(α*pi/180)*sec(14.5*pi/180))/(μ*sec(14.5*pi/180)+tan(α*pi/180)) --> tan(0.5235987755982*pi/180)*(1-0.2*tan(0.5235987755982*pi/180)*sec(14.5*pi/180))/(0.2*sec(14.5*pi/180)+tan(0.5235987755982*pi/180))
Evaluating ... ...
n = 0.0422843179677523
STEP 3: Convert Result to Output's Unit
0.0422843179677523 --> No Conversion Required
FINAL ANSWER
0.0422843179677523 <-- Efficiency
(Calculation completed in 00.000 seconds)

10+ Acme Thread Calculators

Efficiency of Acme Threaded Screw
efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180)) Go
Load When Torque Required in Lowering a Load is Given (Acme Thread)
load = Torque/(0.5*Mean diameter of screw*(((Coefficient of Friction*sec((14.5*pi/180)))-tan(Helix Angle*pi/180))/(1+(Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180))))) Go
Torque Required in Lowering a Load (Acme Thread)
torque = 0.5*Mean diameter of screw*Force*(((Coefficient of Friction*sec((14.5*pi/180)))-tan(Helix Angle*pi/180))/(1+(Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180)))) Go
Mean Diameter of Screw When Torque Required in Lowering a Load is Given (Acme Thread)
mean_diameter_of_screw = Torque/(0.5*Force*((Coefficient of Friction*sec((14.5*pi/180))-tan(Helix Angle*pi/180))/(1+Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180)))) Go
Coefficient of Friction When Torque Required in Lowering a Load is Given(for Acme Thread)
coefficient_of_friction = (2*Torque+Force*Mean diameter of screw*tan(Helix Angle*pi/180))/sec(14.5*pi/180)*(Force*Mean diameter of screw-2*Torque*tan(Helix Angle*pi/180)) Go
Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread)
helix_angle = atan((Force*Mean diameter of screw*Coefficient of Friction*sec(14.5*pi/180)-2*Torque)/(Force*Mean diameter of screw+2*Torque*Coefficient of Friction*sec(14.5*pi/180))) Go
Coefficient of Friction When Effort in Lowering a Load is Given (for Acme Thread)
coefficient_of_friction = (Effort+Force*tan(Helix Angle*pi/180))/(Force*sec(14.5*pi/180)-Effort*sec(14.5*pi/180)*tan(Helix Angle*pi/180)) Go
Effort Required in Lowering a Load (Acme Thread)
effort = Force*((Coefficient of Friction*sec((14.5*pi/180))-tan(Helix Angle*pi/180))/(1+Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180))) Go
Load When Effort Required in Lowering a Load is Given
load = Effort/((Coefficient of Friction*sec((14.5*pi/180))-tan(Helix Angle*pi/180))/(1+Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180))) Go
Helix Angle When Load and coefficient of friction is Given
helix_angle = atan((Force*Coefficient of Friction*sec(14.5*pi/180)-Effort)/(Force+(Effort*Coefficient of Friction*sec(14.5*pi/180)))) Go

Efficiency of Acme Threaded Screw Formula

efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180))
n = tan(α*pi/180)*(1-μ*tan(α*pi/180)*sec(14.5*pi/180))/(μ*sec(14.5*pi/180)+tan(α*pi/180))

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 Screw?

Efficiency of Acme Threaded Screw calculator uses efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180)) to calculate the Efficiency, The Efficiency of Acme Threaded Screw formula is defined as the higher the efficiency, the more likely the screw is to back drive when an axial force is applied. Efficiency and is denoted by n symbol.

How to calculate Efficiency of Acme Threaded Screw using this online calculator? To use this online calculator for Efficiency of Acme Threaded Screw, enter Helix Angle (α) and Coefficient of Friction (μ) and hit the calculate button. Here is how the Efficiency of Acme Threaded Screw calculation can be explained with given input values -> 0.042284 = tan(0.5235987755982*pi/180)*(1-0.2*tan(0.5235987755982*pi/180)*sec(14.5*pi/180))/(0.2*sec(14.5*pi/180)+tan(0.5235987755982*pi/180)).

FAQ

What is Efficiency of Acme Threaded Screw?
The Efficiency of Acme Threaded Screw formula is defined as the higher the efficiency, the more likely the screw is to back drive when an axial force is applied and is represented as n = tan(α*pi/180)*(1-μ*tan(α*pi/180)*sec(14.5*pi/180))/(μ*sec(14.5*pi/180)+tan(α*pi/180)) or efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180)). Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit and The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1. .
How to calculate Efficiency of Acme Threaded Screw?
The Efficiency of Acme Threaded Screw formula is defined as the higher the efficiency, the more likely the screw is to back drive when an axial force is applied is calculated using efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180)). To calculate Efficiency of Acme Threaded Screw, you need Helix Angle (α) and Coefficient of Friction (μ). With our tool, you need to enter the respective value for Helix Angle and Coefficient of Friction 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 Efficiency?
In this formula, Efficiency uses Helix Angle and Coefficient of Friction. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • helix_angle = atan((Force*Mean diameter of screw*Coefficient of Friction*sec(14.5*pi/180)-2*Torque)/(Force*Mean diameter of screw+2*Torque*Coefficient of Friction*sec(14.5*pi/180)))
  • coefficient_of_friction = (2*Torque+Force*Mean diameter of screw*tan(Helix Angle*pi/180))/sec(14.5*pi/180)*(Force*Mean diameter of screw-2*Torque*tan(Helix Angle*pi/180))
  • mean_diameter_of_screw = Torque/(0.5*Force*((Coefficient of Friction*sec((14.5*pi/180))-tan(Helix Angle*pi/180))/(1+Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180))))
  • load = Torque/(0.5*Mean diameter of screw*(((Coefficient of Friction*sec((14.5*pi/180)))-tan(Helix Angle*pi/180))/(1+(Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180)))))
  • helix_angle = atan((Force*Coefficient of Friction*sec(14.5*pi/180)-Effort)/(Force+(Effort*Coefficient of Friction*sec(14.5*pi/180))))
  • coefficient_of_friction = (Effort+Force*tan(Helix Angle*pi/180))/(Force*sec(14.5*pi/180)-Effort*sec(14.5*pi/180)*tan(Helix Angle*pi/180))
  • load = Effort/((Coefficient of Friction*sec((14.5*pi/180))-tan(Helix Angle*pi/180))/(1+Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180)))
  • effort = Force*((Coefficient of Friction*sec((14.5*pi/180))-tan(Helix Angle*pi/180))/(1+Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180)))
  • torque = 0.5*Mean diameter of screw*Force*(((Coefficient of Friction*sec((14.5*pi/180)))-tan(Helix Angle*pi/180))/(1+(Coefficient of Friction*sec((14.5*pi/180))*tan(Helix Angle*pi/180))))
  • efficiency = tan(Helix Angle*pi/180)*(1-Coefficient of Friction*tan(Helix Angle*pi/180)*sec(14.5*pi/180))/(Coefficient of Friction*sec(14.5*pi/180)+tan(Helix Angle*pi/180))
Where is the Efficiency of Acme Threaded Screw calculator used?
Among many, Efficiency of Acme Threaded Screw calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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