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Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
coefficient_of_friction = tan(Helix Angle*pi/180)*(1-Efficiency)/sec(14.5*pi/180)*(Efficiency+tan(Helix Angle*pi/180)*tan(Helix Angle*pi/180))
μ = tan(α*pi/180)*(1-n)/sec(14.5*pi/180)*(n+tan(α*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)
Efficiency- The efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.
STEP 1: Convert Input(s) to Base Unit
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Efficiency: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = tan(α*pi/180)*(1-n)/sec(14.5*pi/180)*(n+tan(α*pi/180)*tan(α*pi/180)) --> tan(0.5235987755982*pi/180)*(1-20)/sec(14.5*pi/180)*(20+tan(0.5235987755982*pi/180)*tan(0.5235987755982*pi/180))
Evaluating ... ...
μ = -3.36213448591099
STEP 3: Convert Result to Output's Unit
-3.36213448591099 --> No Conversion Required
FINAL ANSWER
-3.36213448591099 <-- Coefficient of Friction
(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

Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given Formula

coefficient_of_friction = tan(Helix Angle*pi/180)*(1-Efficiency)/sec(14.5*pi/180)*(Efficiency+tan(Helix Angle*pi/180)*tan(Helix Angle*pi/180))
μ = tan(α*pi/180)*(1-n)/sec(14.5*pi/180)*(n+tan(α*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 Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given?

Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given calculator uses coefficient_of_friction = tan(Helix Angle*pi/180)*(1-Efficiency)/sec(14.5*pi/180)*(Efficiency+tan(Helix Angle*pi/180)*tan(Helix Angle*pi/180)) to calculate the Coefficient of Friction, The Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given 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 holding them in contact. Coefficient of Friction and is denoted by μ symbol.

How to calculate Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given using this online calculator? To use this online calculator for Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given, enter Helix Angle (α) and Efficiency (n) and hit the calculate button. Here is how the Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given calculation can be explained with given input values -> -3.362134 = tan(0.5235987755982*pi/180)*(1-20)/sec(14.5*pi/180)*(20+tan(0.5235987755982*pi/180)*tan(0.5235987755982*pi/180)).

FAQ

What is Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given?
The Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given 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 holding them in contact and is represented as μ = tan(α*pi/180)*(1-n)/sec(14.5*pi/180)*(n+tan(α*pi/180)*tan(α*pi/180)) or coefficient_of_friction = tan(Helix Angle*pi/180)*(1-Efficiency)/sec(14.5*pi/180)*(Efficiency+tan(Helix Angle*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 efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.
How to calculate Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given?
The Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given 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 holding them in contact is calculated using coefficient_of_friction = tan(Helix Angle*pi/180)*(1-Efficiency)/sec(14.5*pi/180)*(Efficiency+tan(Helix Angle*pi/180)*tan(Helix Angle*pi/180)). To calculate Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given, you need Helix Angle (α) and Efficiency (n). With our tool, you need to enter the respective value for Helix Angle and Efficiency 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?
In this formula, Coefficient of Friction uses Helix Angle and Efficiency. 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 Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given calculator used?
Among many, Coefficient of Friction When Efficiency of a Trapezoidal Threaded Screw is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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