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Load When Effort Required in Lowering a Load is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
F = P/((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, 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)
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
Effort: 124 Newton --> 124 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
F = P/((μ*sec((14.5*pi/180))-tan(α*pi/180))/(1+μ*sec((14.5*pi/180))*tan(α*pi/180))) --> 124/((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 = 629.220469123814
STEP 3: Convert Result to Output's Unit
629.220469123814 Newton --> No Conversion Required
FINAL ANSWER
629.220469123814 Newton <-- Force
(Calculation completed in 00.000 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 Effort Required in Lowering a Load is Given Formula

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)))
F = P/((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 Effort Required in Lowering a Load is Given?

Load When Effort Required in Lowering a Load is Given calculator uses 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))) to calculate the Force, The Load When Effort Required in Lowering a Load is Given 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 Effort Required in Lowering a Load is Given using this online calculator? To use this online calculator for Load When Effort Required in Lowering a Load is Given, enter Effort (P), Coefficient of Friction (μ) and Helix Angle (α) and hit the calculate button. Here is how the Load When Effort Required in Lowering a Load is Given calculation can be explained with given input values -> 629.2205 = 124/((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 Effort Required in Lowering a Load is Given?
The Load When Effort Required in Lowering a Load is Given 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 = P/((μ*sec((14.5*pi/180))-tan(α*pi/180))/(1+μ*sec((14.5*pi/180))*tan(α*pi/180))) or 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 is the force required to overcome the resistance to get the work done by the machine, 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 Effort Required in Lowering a Load is Given?
The Load When Effort Required in Lowering a Load is Given 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 = 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))). To calculate Load When Effort Required in Lowering a Load is Given, you need Effort (P), Coefficient of Friction (μ) and Helix Angle (α). With our tool, you need to enter the respective value for Effort, 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 Effort, 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 Effort Required in Lowering a Load is Given calculator used?
Among many, Load When Effort Required in Lowering a Load is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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