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Osmania University (OU), Hyderabad
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## Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
μ = (2*τ-F*dmean*tan(α*pi/180))/sec(14.5*pi/180)*(F*dmean+2*τ*tan(α*pi/180))
This formula uses 2 Constants, 2 Functions, 4 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
Torque - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ. (Measured in Newton Meter)
Force - Force is the instantaneous load applied perpendicular to the specimen cross section. (Measured in Newton)
Mean diameter of screw - Mean diameter of screw is the average diameter of the bearing surface. (Measured in Meter)
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
Torque: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Force: 1000 Newton --> 1000 Newton No Conversion Required
Mean diameter of screw: 12 Meter --> 12 Meter No Conversion Required
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = (2*τ-F*dmean*tan(α*pi/180))/sec(14.5*pi/180)*(F*dmean+2*τ*tan(α*pi/180)) --> (2*50-1000*12*tan(0.5235987755982*pi/180))/sec(14.5*pi/180)*(1000*12+2*50*tan(0.5235987755982*pi/180))
Evaluating ... ...
μ = -112298.078507441
STEP 3: Convert Result to Output's Unit
-112298.078507441 --> No Conversion Required
FINAL ANSWER
-112298.078507441 <-- Coefficient of Friction
(Calculation completed in 00.015 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 Torque Required in Lifting a Load with Acme Tread is Given Formula

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))
μ = (2*τ-F*dmean*tan(α*pi/180))/sec(14.5*pi/180)*(F*dmean+2*τ*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 Torque Required in Lifting a Load with Acme Tread is Given?

Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread is Given calculator uses 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)) to calculate the Coefficient of Friction, The Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread 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 Torque Required in Lifting a Load with Acme Tread is Given using this online calculator? To use this online calculator for Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread is Given, enter Torque (τ), Force (F), Mean diameter of screw (dmean) and Helix Angle (α) and hit the calculate button. Here is how the Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread is Given calculation can be explained with given input values -> -112298.078507 = (2*50-1000*12*tan(0.5235987755982*pi/180))/sec(14.5*pi/180)*(1000*12+2*50*tan(0.5235987755982*pi/180)).

### FAQ

What is Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread is Given?
The Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread 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 = (2*τ-F*dmean*tan(α*pi/180))/sec(14.5*pi/180)*(F*dmean+2*τ*tan(α*pi/180)) or 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)). Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, Force is the instantaneous load applied perpendicular to the specimen cross section, Mean diameter of screw is the average diameter of the bearing surface 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 Torque Required in Lifting a Load with Acme Tread is Given?
The Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread 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 = (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)). To calculate Coefficient of Friction When Torque Required in Lifting a Load with Acme Tread is Given, you need Torque (τ), Force (F), Mean diameter of screw (dmean) and Helix Angle (α). With our tool, you need to enter the respective value for Torque, Force, Mean diameter of screw 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 Torque, Force, Mean diameter of screw 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))
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