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Load When Torque Required in Lowering a Load is Given (Acme Thread) Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))))
F = τ/(0.5*dmean*(((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
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)
Mean diameter of screw - Mean diameter of screw is the average diameter of the bearing surface. (Measured in Meter)
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
Torque: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Mean diameter of screw: 12 Meter --> 12 Meter 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
F = τ/(0.5*dmean*(((μ*sec((14.5*pi/180)))-tan(α*pi/180))/(1+(μ*sec((14.5*pi/180))*tan(α*pi/180))))) --> 50/(0.5*12*(((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 ... ...
F = 42.2863218497187
STEP 3: Convert Result to Output's Unit
42.2863218497187 Newton --> No Conversion Required
FINAL ANSWER
42.2863218497187 Newton <-- Force
(Calculation completed in 00.016 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

Load When Torque Required in Lowering a Load is Given (Acme Thread) Formula

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)))))
F = τ/(0.5*dmean*(((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.

How to Calculate Load When Torque Required in Lowering a Load is Given (Acme Thread)?

Load When Torque Required in Lowering a Load is Given (Acme Thread) calculator uses 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))))) to calculate the Force, The Load When Torque Required in Lowering a Load is Given (Acme Thread) formula is defined as a heavy or a bulky object that requires effort to move or lift the load. Effort is an applied force to bring desired change to the position (push or lift) of the load. Force and is denoted by F symbol.

How to calculate Load When Torque Required in Lowering a Load is Given (Acme Thread) using this online calculator? To use this online calculator for Load When Torque Required in Lowering a Load is Given (Acme Thread), enter Torque (τ), Mean diameter of screw (dmean), Coefficient of Friction (μ) and Helix Angle (α) and hit the calculate button. Here is how the Load When Torque Required in Lowering a Load is Given (Acme Thread) calculation can be explained with given input values -> 42.28632 = 50/(0.5*12*(((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 Load When Torque Required in Lowering a Load is Given (Acme Thread)?
The Load When Torque Required in Lowering a Load is Given (Acme Thread) formula is defined as a heavy or a bulky object that requires effort to move or lift the load. Effort is an applied force to bring desired change to the position (push or lift) of the load and is represented as F = τ/(0.5*dmean*(((μ*sec((14.5*pi/180)))-tan(α*pi/180))/(1+(μ*sec((14.5*pi/180))*tan(α*pi/180))))) or 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))))). 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, Mean diameter of screw is the average diameter of the bearing surface, 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 Load When Torque Required in Lowering a Load is Given (Acme Thread)?
The Load When Torque Required in Lowering a Load is Given (Acme Thread) formula is defined as a heavy or a bulky object that requires effort to move or lift the load. Effort is an applied force to bring desired change to the position (push or lift) of the load is calculated using 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))))). To calculate Load When Torque Required in Lowering a Load is Given (Acme Thread), you need Torque (τ), Mean diameter of screw (dmean), Coefficient of Friction (μ) and Helix Angle (α). With our tool, you need to enter the respective value for Torque, Mean diameter of screw, 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 Force?
In this formula, Force uses Torque, Mean diameter of screw, 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 Load When Torque Required in Lowering a Load is Given (Acme Thread) calculator used?
Among many, Load When Torque Required in Lowering a Load is Given (Acme Thread) calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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