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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
α = atan((F*dmean*μ*sec(14.5*pi/180)-2*τ)/(F*dmean+2*τ*μ*sec(14.5*pi/180)))
This formula uses 2 Constants, 3 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)
atan - Inverse trigonometric tangent function, atan(Number)
Variables Used
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)
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.
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)
STEP 1: Convert Input(s) to Base Unit
Force: 1000 Newton --> 1000 Newton No Conversion Required
Mean diameter of screw: 12 Meter --> 12 Meter No Conversion Required
Coefficient of Friction: 0.2 --> No Conversion Required
Torque: 50 Newton Meter --> 50 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = atan((F*dmean*μ*sec(14.5*pi/180)-2*τ)/(F*dmean+2*τ*μ*sec(14.5*pi/180))) --> atan((1000*12*0.2*sec(14.5*pi/180)-2*50)/(1000*12+2*50*0.2*sec(14.5*pi/180)))
Evaluating ... ...
α = 0.195381322396904
STEP 3: Convert Result to Output's Unit
0.195381322396904 Radian -->11.1945251690296 Degree (Check conversion here)
FINAL ANSWER
11.1945251690296 Degree <-- Helix Angle
(Calculation completed in 00.013 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

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

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)))
α = atan((F*dmean*μ*sec(14.5*pi/180)-2*τ)/(F*dmean+2*τ*μ*sec(14.5*pi/180)))

Define Helix Angle?

The helix angle is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw. The helix angle is related to the lead and the mean diameter of the screw. It is also called lead angle. The helix angle is denoted by a.

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

Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread) calculator uses 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))) to calculate the Helix Angle, The Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread) formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw. Helix Angle and is denoted by α symbol.

How to calculate Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread) using this online calculator? To use this online calculator for Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread), enter Force (F), Mean diameter of screw (dmean), Coefficient of Friction (μ) and Torque (τ) and hit the calculate button. Here is how the Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread) calculation can be explained with given input values -> 11.19453 = atan((1000*12*0.2*sec(14.5*pi/180)-2*50)/(1000*12+2*50*0.2*sec(14.5*pi/180))).

FAQ

What is Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread)?
The Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread) formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw and is represented as α = atan((F*dmean*μ*sec(14.5*pi/180)-2*τ)/(F*dmean+2*τ*μ*sec(14.5*pi/180))) or 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))). Force is the instantaneous load applied perpendicular to the specimen cross section, 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 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.
How to calculate Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread)?
The Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread) formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw is calculated using 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))). To calculate Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread), you need Force (F), Mean diameter of screw (dmean), Coefficient of Friction (μ) and Torque (τ). With our tool, you need to enter the respective value for Force, Mean diameter of screw, Coefficient of Friction and Torque 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 Helix Angle?
In this formula, Helix Angle uses Force, Mean diameter of screw, Coefficient of Friction and Torque. 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 Helix Angle When Torque Required in Lowering a Load is Given (For Acme Thread) calculator used?
Among many, Helix Angle When Torque Required in Lowering a Load 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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