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

GoForce at Circumference of Screw given Helix Angle and Coefficient of Friction 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 l \cdot \tan (ψ + Φ)

F - Force Required?W_l - Load?ψ - Helix Angle?Φ - Limiting Angle of Friction?

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

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

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

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

40.6683 = 53 \cdot \tan (25 + 12.5)

40.6683N = 53N \cdot \tan (25° + 12.5°)

40.6683 = 53 \cdot \tan (25 + 12.5)

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

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

FIRST Step Consider the formula

F = W l \cdot \tan (ψ + Φ)

Next Step Substitute values of Variables

∴

F = 53N \cdot \tan (25° + 12.5°)

Next Step Convert Units

∴

F = 53N \cdot \tan (0.4363rad + 0.2182rad)

Next Step Prepare to Evaluate

∴

F = 53 \cdot \tan (0.4363 + 0.2182)

Next Step Evaluate

∴

F = 40.6683303628745N

LAST Step Rounding Answer

∴

F = 40.6683N

Force at Circumference of Screw given Helix Angle and Limiting Angle 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

Load

Load is the weight of body lifted by screw jack.

Symbol: W_l

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load

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

Limiting Angle of Friction

The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Limiting Angle of Friction

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Force Required

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

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

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 Limiting Angle?

Force at Circumference of Screw given Helix Angle and Limiting Angle evaluator uses Force Required = Load*tan(Helix Angle+Limiting Angle of Friction) to evaluate the Force Required, Force at Circumference of Screw given Helix Angle and Limiting Angle is the tangential force exerted due to the difference between the helix angle and the limiting angle, factoring in the axial load applied to the screw. Force Required is denoted by F symbol.

How to evaluate Force at Circumference of Screw given Helix Angle and Limiting Angle using this online evaluator? To use this online evaluator for Force at Circumference of Screw given Helix Angle and Limiting Angle, enter Load (W_l), Helix Angle (ψ) & Limiting Angle of Friction (Φ) and hit the calculate button.

FAQs on Force at Circumference of Screw given Helix Angle and Limiting Angle

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

The formula of Force at Circumference of Screw given Helix Angle and Limiting Angle is expressed as Force Required = Load*tan(Helix Angle+Limiting Angle of Friction). Here is an example- 40.66833 = 53*tan(0.4363323129985+0.21816615649925).

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

With Load (W_l), Helix Angle (ψ) & Limiting Angle of Friction (Φ) we can find Force at Circumference of Screw given Helix Angle and Limiting Angle using the formula - Force Required = Load*tan(Helix Angle+Limiting Angle of Friction). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Force Required?

Here are the different ways to Calculate Force Required-

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

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

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

Which unit is used to measure Force at Circumference of Screw given Helix Angle and Limiting Angle?

Force at Circumference of Screw given Helix Angle and Limiting Angle 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 Limiting Angle can be measured.

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