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

GoTorque Required to Overcome Friction between Screw and Nut Formula

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Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics. Check FAQs

T = W l \cdot \tan (Φ - ψ) \cdot \frac{d}{2}

T - Total Torque?W_l - Load?Φ - Limiting Angle of Friction?ψ - Helix Angle?d - Mean Diameter of Screw?

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

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Here is how the Torque Required to Overcome Friction between Screw and Nut while Lowering Load equation looks like with Values.

Here is how the Torque Required to Overcome Friction between Screw and Nut while Lowering Load equation looks like with Units.

Here is how the Torque Required to Overcome Friction between Screw and Nut while Lowering Load equation looks like.

-0.3525 = 53 \cdot \tan (12.5 - 25) \cdot \frac{0.06}{2}

-0.3525N*m = 53N \cdot \tan (12.5° - 25°) \cdot \frac{0.06m}{2}

-0.3525 = 53 \cdot \tan (12.5 - 25) \cdot \frac{0.06}{2}

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

Follow our step by step solution on how to calculate Torque Required to Overcome Friction between Screw and Nut while Lowering Load?

FIRST Step Consider the formula

T = W l \cdot \tan (Φ - ψ) \cdot \frac{d}{2}

Next Step Substitute values of Variables

∴

T = 53N \cdot \tan (12.5° - 25°) \cdot \frac{0.06m}{2}

Next Step Convert Units

∴

T = 53N \cdot \tan (0.2182rad - 0.4363rad) \cdot \frac{0.06m}{2}

Next Step Prepare to Evaluate

∴

T = 53 \cdot \tan (0.2182 - 0.4363) \cdot \frac{0.06}{2}

Next Step Evaluate

∴

T = -0.352494513602206N*m

LAST Step Rounding Answer

∴

T = -0.3525N*m

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

Variables

Functions

Total Torque

Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Total Torque

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

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

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

Mean Diameter of Screw

Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Screw

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 Total Torque

Go Torque Required to Overcome Friction between Screw and Nut

T = W l \cdot \tan (ψ + Φ) \cdot \frac{d}{2}

Other formulas in Screw and Nut category

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)})

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

F = W l \cdot \tan (ψ + Φ)

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})

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

Torque Required to Overcome Friction between Screw and Nut while Lowering Load evaluator uses Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2 to evaluate the Total Torque, Torque Required to Overcome Friction between Screw and Nut while Lowering Load is the rotational force needed to counteract frictional resistance and allow the load to descend, depending on the screw's geometry, load, and friction coefficient. Total Torque is denoted by T symbol.

How to evaluate Torque Required to Overcome Friction between Screw and Nut while Lowering Load using this online evaluator? To use this online evaluator for Torque Required to Overcome Friction between Screw and Nut while Lowering Load, enter Load (W_l), Limiting Angle of Friction (Φ), Helix Angle (ψ) & Mean Diameter of Screw (d) and hit the calculate button.

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

What is the formula to find Torque Required to Overcome Friction between Screw and Nut while Lowering Load?

The formula of Torque Required to Overcome Friction between Screw and Nut while Lowering Load is expressed as Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2. Here is an example- -0.352495 = 53*tan(0.21816615649925-0.4363323129985)*0.06/2.

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

With Load (W_l), Limiting Angle of Friction (Φ), Helix Angle (ψ) & Mean Diameter of Screw (d) we can find Torque Required to Overcome Friction between Screw and Nut while Lowering Load using the formula - Total Torque = Load*tan(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2. This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Total Torque?

Here are the different ways to Calculate Total Torque-

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

Can the Torque Required to Overcome Friction between Screw and Nut while Lowering Load be negative?

Yes, the Torque Required to Overcome Friction between Screw and Nut while Lowering Load, measured in Torque can be negative.

Which unit is used to measure Torque Required to Overcome Friction between Screw and Nut while Lowering Load?

Torque Required to Overcome Friction between Screw and Nut while Lowering Load is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Torque Required to Overcome Friction between Screw and Nut while Lowering Load can be measured.

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

​GoTorque Required to Overcome Friction between Screw and Nut Formula

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

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

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

Other Formulas to find Total Torque

Other formulas in Screw and Nut category

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

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

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GoTorque Required to Overcome Friction between Screw and Nut Formula