FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Torque Required to Overcome Friction between Screw and Nut Formula

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

Fx Copy

LaTeX Copy

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 (ψ + Φ) \cdot \frac{d}{2}

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

Torque Required to Overcome Friction between Screw and Nut Example

With values

With units

Only example

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

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

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

1.22 = 53 \cdot \tan (25 + 12.5) \cdot \frac{0.06}{2}

1.22N*m = 53N \cdot \tan (25° + 12.5°) \cdot \frac{0.06m}{2}

1.22 = 53 \cdot \tan (25 + 12.5) \cdot \frac{0.06}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Torque Required to Overcome Friction between Screw and Nut

Torque Required to Overcome Friction between Screw and Nut Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

T = 1.22004991088624N*m

LAST Step Rounding Answer

∴

T = 1.22N*m

Torque Required to Overcome Friction between Screw and Nut 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

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

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 while Lowering Load

T = W l \cdot \tan (Φ - ψ) \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?

Torque Required to Overcome Friction between Screw and Nut evaluator uses Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2 to evaluate the Total Torque, Torque required to overcome friction between screw and nut is the measure of the force that can cause an object to rotate about an axis. Total Torque is denoted by T symbol.

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

FAQs on Torque Required to Overcome Friction between Screw and Nut

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

The formula of Torque Required to Overcome Friction between Screw and Nut is expressed as Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2. Here is an example- 1.22005 = 53*tan(0.4363323129985+0.21816615649925)*0.06/2.

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

With Load (W_l), Helix Angle (ψ), Limiting Angle of Friction (Φ) & Mean Diameter of Screw (d) we can find Torque Required to Overcome Friction between Screw and Nut using the formula - Total Torque = Load*tan(Helix Angle+Limiting Angle of Friction)*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(Limiting Angle of Friction-Helix Angle)*Mean Diameter of Screw/2

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

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

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

Torque Required to Overcome Friction between Screw and Nut 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Torque Required to Overcome Friction between Screw and Nut Formula

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

Torque Required to Overcome Friction between Screw and Nut Example

Torque Required to Overcome Friction between Screw and Nut Solution

Torque Required to Overcome Friction between Screw and Nut 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?

FAQs on Torque Required to Overcome Friction between Screw and Nut

Variable Name

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