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Lead of Screw given Overall Efficiency Formula

GoLead of Screw given Helix angle Formula

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Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified. Check FAQs

L = 2 \cdot π \cdot η \cdot \frac{Mt t}{W a}

L - Lead of Power Screw?η - Efficiency of power screw?Mt_t - Torsional Moment on Screw?W_a - Axial load on screw?π - Archimedes' constant?

Lead of Screw given Overall Efficiency Example

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Here is how the Lead of Screw given Overall Efficiency equation looks like with Values.

Here is how the Lead of Screw given Overall Efficiency equation looks like with Units.

Here is how the Lead of Screw given Overall Efficiency equation looks like.

11.0577 = 2 \cdot 3.1416 \cdot 0.35 \cdot \frac{658700}{131000}

11.0577mm = 2 \cdot 3.1416 \cdot 0.35 \cdot \frac{658700N*mm}{131000N}

11.0577 = 2 \cdot 3.1416 \cdot 0.35 \cdot \frac{658700}{131000}

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Lead of Screw given Overall Efficiency Solution

Follow our step by step solution on how to calculate Lead of Screw given Overall Efficiency?

FIRST Step Consider the formula

L = 2 \cdot π \cdot η \cdot \frac{Mt t}{W a}

Next Step Substitute values of Variables

∴

L = 2 \cdot π \cdot 0.35 \cdot \frac{658700N*mm}{131000N}

Next Step Substitute values of Constants

∴

L = 2 \cdot 3.1416 \cdot 0.35 \cdot \frac{658700N*mm}{131000N}

Next Step Convert Units

∴

L = 2 \cdot 3.1416 \cdot 0.35 \cdot \frac{658.7N*m}{131000N}

Next Step Prepare to Evaluate

∴

L = 2 \cdot 3.1416 \cdot 0.35 \cdot \frac{658.7}{131000}

Next Step Evaluate

∴

L = 0.0110576866919368m

Next Step Convert to Output's Unit

∴

L = 11.0576866919368mm

LAST Step Rounding Answer

∴

L = 11.0577mm

Lead of Screw given Overall Efficiency Formula Elements

Variables

Constants

Lead of Power Screw

Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Lead of Power Screw

Efficiency of power screw

Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Efficiency of power screw

Torsional Moment on Screw

Torsional moment on screw is the torque applied which generates a torsion (twist) within the screw body.

Symbol: Mt_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment on Screw

Axial load on screw

Axial load on screw is the instantaneous load applied to the screw along its axis.

Symbol: W_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial load on screw

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Lead of Power Screw

Go Lead of Screw given Helix angle

L = \tan (α) \cdot π \cdot d m

Other formulas in Design of Screw and Nut category

Go Core Diameter of Power Screw

d c = d - p

Go Nominal Diameter of Power Screw

d = d c + p

Go Pitch of Power Screw

p = d - d c

Go Mean Diameter of Power Screw

d m = d - 0.5 \cdot p

How to Evaluate Lead of Screw given Overall Efficiency?

Lead of Screw given Overall Efficiency evaluator uses Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw to evaluate the Lead of Power Screw, The Lead of Screw given Overall Efficiency is defined as the distance measured parallel to the axis of the screw which the nut will advance in one revolution of the screw. Lead of Power Screw is denoted by L symbol.

How to evaluate Lead of Screw given Overall Efficiency using this online evaluator? To use this online evaluator for Lead of Screw given Overall Efficiency, enter Efficiency of power screw (η), Torsional Moment on Screw (Mt_t) & Axial load on screw (W_a) and hit the calculate button.

FAQs on Lead of Screw given Overall Efficiency

What is the formula to find Lead of Screw given Overall Efficiency?

The formula of Lead of Screw given Overall Efficiency is expressed as Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw. Here is an example- 11057.69 = 2*pi*0.35*658.7/131000.

How to calculate Lead of Screw given Overall Efficiency?

With Efficiency of power screw (η), Torsional Moment on Screw (Mt_t) & Axial load on screw (W_a) we can find Lead of Screw given Overall Efficiency using the formula - Lead of Power Screw = 2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screw. This formula also uses Archimedes' constant .

What are the other ways to Calculate Lead of Power Screw?

Here are the different ways to Calculate Lead of Power Screw-

Lead of Power Screw=tan(Helix angle of screw)*pi*Mean Diameter of Power Screw

Can the Lead of Screw given Overall Efficiency be negative?

No, the Lead of Screw given Overall Efficiency, measured in Length cannot be negative.

Which unit is used to measure Lead of Screw given Overall Efficiency?

Lead of Screw given Overall Efficiency is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Lead of Screw given Overall Efficiency can be measured.

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Lead of Screw given Overall Efficiency Formula

​GoLead of Screw given Helix angle Formula

Lead of Screw given Overall Efficiency Example

Lead of Screw given Overall Efficiency Solution

Lead of Screw given Overall Efficiency Formula Elements

Other Formulas to find Lead of Power Screw

Other formulas in Design of Screw and Nut category

How to Evaluate Lead of Screw given Overall Efficiency?

FAQs on Lead of Screw given Overall Efficiency

Variable Name

GoLead of Screw given Helix angle Formula