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

GoForce at Circumference of Screw given Helix Angle and Limiting Angle Formula

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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. Check FAQs

F = W \cdot (\frac{\sin (ψ) + μ f \cdot \cos (ψ)}{\cos (ψ) - μ f \cdot \sin (ψ)})

F - Force Required?W - Weight?ψ - Helix Angle?μ_f - Coefficient of Friction?

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

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Here is how the Force at Circumference of Screw given Helix Angle and Coefficient of Friction equation looks like with Values.

Here is how the Force at Circumference of Screw given Helix Angle and Coefficient of Friction equation looks like with Units.

Here is how the Force at Circumference of Screw given Helix Angle and Coefficient of Friction equation looks like.

63.8967 = 60 \cdot (\frac{\sin (25) + 0.4 \cdot \cos (25)}{\cos (25) - 0.4 \cdot \sin (25)})

63.8967N = 60kg \cdot (\frac{\sin (25°) + 0.4 \cdot \cos (25°)}{\cos (25°) - 0.4 \cdot \sin (25°)})

63.8967 = 60 \cdot (\frac{\sin (25) + 0.4 \cdot \cos (25)}{\cos (25) - 0.4 \cdot \sin (25)})

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

Follow our step by step solution on how to calculate Force at Circumference of Screw given Helix Angle and Coefficient of Friction?

FIRST Step Consider the formula

F = W \cdot (\frac{\sin (ψ) + μ f \cdot \cos (ψ)}{\cos (ψ) - μ f \cdot \sin (ψ)})

Next Step Substitute values of Variables

∴

F = 60kg \cdot (\frac{\sin (25°) + 0.4 \cdot \cos (25°)}{\cos (25°) - 0.4 \cdot \sin (25°)})

Next Step Convert Units

∴

F = 60kg \cdot (\frac{\sin (0.4363rad) + 0.4 \cdot \cos (0.4363rad)}{\cos (0.4363rad) - 0.4 \cdot \sin (0.4363rad)})

Next Step Prepare to Evaluate

∴

F = 60 \cdot (\frac{\sin (0.4363) + 0.4 \cdot \cos (0.4363)}{\cos (0.4363) - 0.4 \cdot \sin (0.4363)})

Next Step Evaluate

∴

F = 63.8966603008098N

LAST Step Rounding Answer

∴

F = 63.8967N

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

Variables

Functions

Force Required

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.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force Required

Weight

Weight is a body's relative mass or the quantity of matter contained by it.

Symbol: W

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Weight

Helix Angle

Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle

Coefficient of Friction

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.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Coefficient of Friction

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.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Force Required

Go Force at Circumference of Screw given Helix Angle and Limiting Angle

F = W l \cdot \tan (ψ + Φ)

Other formulas in Screw and Nut category

Go Helix Angle

ψ = a \tan (\frac{L}{C})

Go Helix Angle for Multi-Threaded Screw

ψ = a \tan (\frac{n \cdot P s}{π \cdot d})

Go Helix Angle for Single Threaded Screw

ψ = a \tan (\frac{P s}{π \cdot d})

Go Lead of Screw

L = P s \cdot n

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

Force at Circumference of Screw given Helix Angle and Coefficient of Friction evaluator uses Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle))) to evaluate 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 evaluate Force at Circumference of Screw given Helix Angle and Coefficient of Friction using this online evaluator? To use this online evaluator for Force at Circumference of Screw given Helix Angle and Coefficient of Friction, enter Weight (W), Helix Angle (ψ) & Coefficient of Friction (μ_f) and hit the calculate button.

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

What is the formula to find Force at Circumference of Screw given Helix Angle and Coefficient of Friction?

The formula of Force at Circumference of Screw given Helix Angle and Coefficient of Friction is expressed as Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle))). Here is an example- 63.89666 = 60*((sin(0.4363323129985)+0.4*cos(0.4363323129985))/(cos(0.4363323129985)-0.4*sin(0.4363323129985))).

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

With Weight (W), Helix Angle (ψ) & Coefficient of Friction (μ_f) we can find Force at Circumference of Screw given Helix Angle and Coefficient of Friction using the formula - Force Required = Weight*((sin(Helix Angle)+Coefficient of Friction*cos(Helix Angle))/(cos(Helix Angle)-Coefficient of Friction*sin(Helix Angle))). This formula also uses Sine, Cosine function(s).

What are the other ways to Calculate Force Required?

Here are the different ways to Calculate Force Required-

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

Can the Force at Circumference of Screw given Helix Angle and Coefficient of Friction be negative?

Yes, the Force at Circumference of Screw given Helix Angle and Coefficient of Friction, measured in Force can be negative.

Which unit is used to measure 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 usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force at Circumference of Screw given Helix Angle and Coefficient of Friction can be measured.

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