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## Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Coefficient of Friction When Effort is Given (for Acme Thread) Solution

STEP 0: Pre-Calculation Summary
Formula Used
coefficient_of_friction = (Effort-Force*tan(Helix Angle*pi/180))/(sec(14.5*pi/180)*(Force+Effort*tan(Helix Angle*pi/180)))
μ = (P-F*tan(α*pi/180))/(sec(14.5*pi/180)*(F+P*tan(α*pi/180)))
This formula uses 2 Constants, 2 Functions, 3 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
Effort - Effort is the force required to overcome the resistance to get the work done by the machine. (Measured in Newton)
Force - Force is the instantaneous load applied perpendicular to the specimen cross section. (Measured in Newton)
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)
STEP 1: Convert Input(s) to Base Unit
Effort: 124 Newton --> 124 Newton No Conversion Required
Force: 1000 Newton --> 1000 Newton No Conversion Required
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = (P-F*tan(α*pi/180))/(sec(14.5*pi/180)*(F+P*tan(α*pi/180))) --> (124-1000*tan(0.5235987755982*pi/180))/(sec(14.5*pi/180)*(1000+124*tan(0.5235987755982*pi/180)))
Evaluating ... ...
μ = 0.111076748923163
STEP 3: Convert Result to Output's Unit
0.111076748923163 --> No Conversion Required
0.111076748923163 <-- Coefficient of Friction
(Calculation completed in 00.016 seconds)

## < 10+ Acme Thread Calculators

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 = 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 = 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 = 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 = 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 Effort is Given (for Acme Thread) Formula

coefficient_of_friction = (Effort-Force*tan(Helix Angle*pi/180))/(sec(14.5*pi/180)*(Force+Effort*tan(Helix Angle*pi/180)))
μ = (P-F*tan(α*pi/180))/(sec(14.5*pi/180)*(F+P*tan(α*pi/180)))

## Define Coefficient of Friction?

Coefficient of Friction 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, the ratio usually being larger for starting than for moving friction

## How to Calculate Coefficient of Friction When Effort is Given (for Acme Thread)?

Coefficient of Friction When Effort is Given (for Acme Thread) calculator uses coefficient_of_friction = (Effort-Force*tan(Helix Angle*pi/180))/(sec(14.5*pi/180)*(Force+Effort*tan(Helix Angle*pi/180))) to calculate the Coefficient of Friction, Coefficient of Friction When Effort is Given (for Acme Thread) 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 Effort is Given (for Acme Thread) using this online calculator? To use this online calculator for Coefficient of Friction When Effort is Given (for Acme Thread), enter Effort (P), Force (F) and Helix Angle (α) and hit the calculate button. Here is how the Coefficient of Friction When Effort is Given (for Acme Thread) calculation can be explained with given input values -> 0.111077 = (124-1000*tan(0.5235987755982*pi/180))/(sec(14.5*pi/180)*(1000+124*tan(0.5235987755982*pi/180))).

### FAQ

What is Coefficient of Friction When Effort is Given (for Acme Thread)?
Coefficient of Friction When Effort is Given (for Acme Thread) 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 = (P-F*tan(α*pi/180))/(sec(14.5*pi/180)*(F+P*tan(α*pi/180))) or coefficient_of_friction = (Effort-Force*tan(Helix Angle*pi/180))/(sec(14.5*pi/180)*(Force+Effort*tan(Helix Angle*pi/180))). Effort is the force required to overcome the resistance to get the work done by the machine, Force is the instantaneous load applied perpendicular to the specimen cross section and 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.
How to calculate Coefficient of Friction When Effort is Given (for Acme Thread)?
Coefficient of Friction When Effort is Given (for Acme Thread) 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 = (Effort-Force*tan(Helix Angle*pi/180))/(sec(14.5*pi/180)*(Force+Effort*tan(Helix Angle*pi/180))). To calculate Coefficient of Friction When Effort is Given (for Acme Thread), you need Effort (P), Force (F) and Helix Angle (α). With our tool, you need to enter the respective value for Effort, Force and Helix Angle 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 Effort, Force and Helix Angle. 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 Effort is Given (for Acme Thread) calculator used?
Among many, Coefficient of Friction When Effort is Given (for Acme Thread) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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