Force at Circumference of Screw given Helix Angle and Coefficient of Friction Calculator

✖Weight is a body's relative mass or the quantity of matter contained by it.ⓘ Weight [W]			+10% -10%
✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle [ψ]			+10% -10%
✖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.ⓘ Coefficient of Friction [μ_friction]			+10% -10%

✖Force Required is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.ⓘ Force at Circumference of Screw given Helix Angle and Coefficient of Friction [F]

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Formula

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Force at Circumference of Screw given Helix Angle and Coefficient of Friction

Formula

`"F" = "W"*((sin("ψ")+"μ"_{"friction"}*cos("ψ"))/(cos("ψ")-"μ"_{"friction"}*sin("ψ")))`

Example

`"63.89666N"="60kg"*((sin("25°")+"0.4"*cos("25°"))/(cos("25°")-"0.4"*sin("25°")))`

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Force at Circumference of Screw given Helix Angle and Coefficient of Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle)))
F = W*((sin(ψ)+μ_friction*cos(ψ))/(cos(ψ)-μ_friction*sin(ψ)))
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Force Required - (Measured in Newton) - Force Required is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Weight - (Measured in Kilogram) - Weight is a body's relative mass or the quantity of matter contained by it.
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
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.

STEP 1: Convert Input(s) to Base Unit

Weight: 60 Kilogram --> 60 Kilogram No Conversion Required
Helix Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
Coefficient of Friction: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = W*((sin(ψ)+μ_friction*cos(ψ))/(cos(ψ)-μ_friction*sin(ψ))) --> 60*((sin(0.4363323129985)+0.4*cos(0.4363323129985))/(cos(0.4363323129985)-0.4*sin(0.4363323129985)))

Evaluating ... ...

F = 63.8966603008098

STEP 3: Convert Result to Output's Unit

63.8966603008098 Newton --> No Conversion Required

FINAL ANSWER

63.8966603008098 ≈ 63.89666 Newton <-- Force Required

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Friction Devices » Screw and Nut » Force at Circumference of Screw given Helix Angle and Coefficient of Friction

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 9 Screw and Nut Calculators

Force at Circumference of Screw given Helix Angle and Coefficient of Friction

Go Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle)))

Torque Required to Overcome Friction between Screw and Nut during Lowering Load

Go Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2

Torque Required to Overcome Friction between Screw and Nut while Lowering Load

Go Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2

Torque Required to Overcome Friction between Screw and Nut

Go Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2

Helix Angle for Multi-Threaded Screw

Go Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))

Force at Circumference of Screw given Helix Angle and Limiting Angle

Go Force Required = Load*tan(Helix Angle+Limiting Angle of Friction)

Helix Angle for Single Threaded Screw

Go Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw))

Helix Angle

Go Helix Angle = atan(Lead of Screw/Circumference of Screw)

Lead of Screw

Go Lead of Screw = Pitch*Number of Threads

Force at Circumference of Screw given Helix Angle and Coefficient of Friction Formula

How do you find the circumference of a screw?

Calculate the circumference of the screw shaft by measuring the diameter of the screw and multiplying by pi. For example, if a screw has a diameter of 0.25 inches, then the circumference of the screw is 0.79 inches.

How to Calculate Force at Circumference of Screw given Helix Angle and Coefficient of Friction?

Force at Circumference of Screw given Helix Angle and Coefficient of Friction calculator uses Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle))) to calculate the Force Required, Force at Circumference of Screw given Helix Angle and Coefficient of Friction is known as the force required to lift the load. Force Required is denoted by F symbol.

How to calculate Force at Circumference of Screw given Helix Angle and Coefficient of Friction using this online calculator? To use this online calculator for Force at Circumference of Screw given Helix Angle and Coefficient of Friction, enter Weight (W), Helix Angle (ψ) & Coefficient of Friction (μ_friction) and hit the calculate button. Here is how the Force at Circumference of Screw given Helix Angle and Coefficient of Friction calculation can be explained with given input values -> 63.89666 = 60*((sin(0.4363323129985)+0.4*cos(0.4363323129985))/(cos(0.4363323129985)-0.4*sin(0.4363323129985))).

FAQ

What is Force at Circumference of Screw given Helix Angle and Coefficient of Friction?

Force at Circumference of Screw given Helix Angle and Coefficient of Friction is known as the force required to lift the load and is represented as F = W*((sin(ψ)+μ_friction*cos(ψ))/(cos(ψ)-μ_friction*sin(ψ))) or Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle))). Weight is a body's relative mass or the quantity of matter contained by it, Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone & 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.

How to calculate Force at Circumference of Screw given Helix Angle and Coefficient of Friction?

Force at Circumference of Screw given Helix Angle and Coefficient of Friction is known as the force required to lift the load is calculated using Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle))). To calculate Force at Circumference of Screw given Helix Angle and Coefficient of Friction, you need Weight (W), Helix Angle (ψ) & Coefficient of Friction (μ_friction). With our tool, you need to enter the respective value for Weight, Helix Angle & Coefficient of Friction 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 Required?

In this formula, Force Required uses Weight, Helix Angle & Coefficient of Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Force Required = Load*tan(Helix Angle+Limiting Angle of Friction)

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