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Torque Required in Lifting a Load With Acme Screw Thread Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
τ = 0.5*dmean*F*((μ*sec((14.5*pi/180))+tan(α*pi/180))/(1-μ*sec((14.5*pi/180))*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
Mean diameter of screw - Mean diameter of screw is the average diameter of the bearing surface. (Measured in Meter)
Force - Force is the instantaneous load applied perpendicular to the specimen cross section. (Measured in Newton)
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.
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
Mean diameter of screw: 12 Meter --> 12 Meter No Conversion Required
Force: 1000 Newton --> 1000 Newton No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = 0.5*dmean*F*((μ*sec((14.5*pi/180))+tan(α*pi/180))/(1-μ*sec((14.5*pi/180))*tan(α*pi/180))) --> 0.5*12*1000*((0.2*sec((14.5*pi/180))+tan(0.5235987755982*pi/180))/(1-0.2*sec((14.5*pi/180))*tan(0.5235987755982*pi/180)))
Evaluating ... ...
τ = 1296.76117793553
STEP 3: Convert Result to Output's Unit
1296.76117793553 Newton Meter --> No Conversion Required
FINAL ANSWER
1296.76117793553 Newton Meter <-- Torque
(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

Torque Required in Lifting a Load With Acme Screw Thread Formula

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)))
τ = 0.5*dmean*F*((μ*sec((14.5*pi/180))+tan(α*pi/180))/(1-μ*sec((14.5*pi/180))*tan(α*pi/180)))

Define Acme Thread Screw?

Acme screw threads are manufactured for assemblies that require the carrying of heavy loads. Acme screw threads were designed to replace the Square thread, which is difficult to manufacture. Chapter 6 grooving and threading

How to Calculate Torque Required in Lifting a Load With Acme Screw Thread?

Torque Required in Lifting a Load With Acme Screw Thread calculator uses 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))) to calculate the Torque, The Torque Required in Lifting a Load With Acme Screw Thread formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. Torque and is denoted by τ symbol.

How to calculate Torque Required in Lifting a Load With Acme Screw Thread using this online calculator? To use this online calculator for Torque Required in Lifting a Load With Acme Screw Thread, enter Mean diameter of screw (dmean), Force (F), Coefficient of Friction (μ) and Helix Angle (α) and hit the calculate button. Here is how the Torque Required in Lifting a Load With Acme Screw Thread calculation can be explained with given input values -> 1296.761 = 0.5*12*1000*((0.2*sec((14.5*pi/180))+tan(0.5235987755982*pi/180))/(1-0.2*sec((14.5*pi/180))*tan(0.5235987755982*pi/180))).

FAQ

What is Torque Required in Lifting a Load With Acme Screw Thread?
The Torque Required in Lifting a Load With Acme Screw Thread formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study and is represented as τ = 0.5*dmean*F*((μ*sec((14.5*pi/180))+tan(α*pi/180))/(1-μ*sec((14.5*pi/180))*tan(α*pi/180))) or 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))). Mean diameter of screw is the average diameter of the bearing surface, Force is the instantaneous load applied perpendicular to the specimen cross section, 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. 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 Torque Required in Lifting a Load With Acme Screw Thread?
The Torque Required in Lifting a Load With Acme Screw Thread formula is defined as the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study is calculated using 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))). To calculate Torque Required in Lifting a Load With Acme Screw Thread, you need Mean diameter of screw (dmean), Force (F), Coefficient of Friction (μ) and Helix Angle (α). With our tool, you need to enter the respective value for Mean diameter of screw, Force, Coefficient of Friction 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 Torque?
In this formula, Torque uses Mean diameter of screw, Force, Coefficient of Friction 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 Torque Required in Lifting a Load With Acme Screw Thread calculator used?
Among many, Torque Required in Lifting a Load With Acme Screw Thread calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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