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Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Formula

GoCoefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread Formula

GoCoefficient of Friction of Power Screw given Torque Required in Lowering Load with Acme Thread Formula

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Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it. Check FAQs

μ = \frac{P li - W \cdot \tan (α)}{\sec (14.5 \cdot \frac{π}{180}) \cdot (W + P li \cdot \tan (α))}

μ - Coefficient of friction at screw thread?P_li - Effort in lifting load?W - Load on screw?α - Helix angle of screw?π - Archimedes' constant?

Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Example

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Here is how the Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw equation looks like with Values.

Here is how the Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw equation looks like with Units.

Here is how the Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw equation looks like.

0.15 = \frac{402 - 1700 \cdot \tan (4.5)}{\sec (14.5 \cdot \frac{3.1416}{180}) \cdot (1700 + 402 \cdot \tan (4.5))}

0.15 = \frac{402N - 1700N \cdot \tan (4.5°)}{\sec (14.5 \cdot \frac{3.1416}{180}) \cdot (1700N + 402N \cdot \tan (4.5°))}

0.15 = \frac{402 - 1700 \cdot \tan (4.5)}{\sec (14.5 \cdot \frac{3.1416}{180}) \cdot (1700 + 402 \cdot \tan (4.5))}

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Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Solution

Follow our step by step solution on how to calculate Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw?

FIRST Step Consider the formula

μ = \frac{P li - W \cdot \tan (α)}{\sec (14.5 \cdot \frac{π}{180}) \cdot (W + P li \cdot \tan (α))}

Next Step Substitute values of Variables

∴

μ = \frac{402N - 1700N \cdot \tan (4.5°)}{\sec (14.5 \cdot \frac{π}{180}) \cdot (1700N + 402N \cdot \tan (4.5°))}

Next Step Substitute values of Constants

∴

μ = \frac{402N - 1700N \cdot \tan (4.5°)}{\sec (14.5 \cdot \frac{3.1416}{180}) \cdot (1700N + 402N \cdot \tan (4.5°))}

Next Step Convert Units

∴

μ = \frac{402N - 1700N \cdot \tan (0.0785rad)}{\sec (14.5 \cdot \frac{3.1416}{180}) \cdot (1700N + 402N \cdot \tan (0.0785rad))}

Next Step Prepare to Evaluate

∴

μ = \frac{402 - 1700 \cdot \tan (0.0785)}{\sec (14.5 \cdot \frac{3.1416}{180}) \cdot (1700 + 402 \cdot \tan (0.0785))}

Next Step Evaluate

∴

μ = 0.149952851883239

LAST Step Rounding Answer

∴

μ = 0.15

Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Formula Elements

Variables

Constants

Functions

Coefficient of friction at screw thread

Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of friction at screw thread

Effort in lifting load

Effort in lifting load is the force required to overcome the resistance to lift the load.

Symbol: P_li

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort in lifting load

Load on screw

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on screw

Helix angle of screw

Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix angle of 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

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)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other Formulas to find Coefficient of friction at screw thread

Go Coefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread

μ = \frac{2 \cdot Mt li - W \cdot d m \cdot \tan (α)}{\sec (0.253) \cdot (W \cdot d m + 2 \cdot Mt li \cdot \tan (α))}

Go Coefficient of Friction of Power Screw given Torque Required in Lowering Load with Acme Thread

μ = \frac{2 \cdot Mt lo + W \cdot d m \cdot \tan (α)}{\sec (0.253) \cdot (W \cdot d m - 2 \cdot Mt lo \cdot \tan (α))}

Go Coefficient of Friction of Power Screw given Effort in Lowering Load with Acme Threaded Screw

μ = \frac{P lo + W \cdot \tan (α)}{W \cdot \sec (0.253) - P lo \cdot \sec (0.253) \cdot \tan (α)}

Other formulas in Acme Thread category

Go Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

α = a \tan (\frac{2 \cdot Mt li - W \cdot d m \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})}{W \cdot d m + 2 \cdot Mt li \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})})

Go Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

W = 2 \cdot Mt li \cdot \frac{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)}{d m \cdot (μ \cdot \sec ((0.253)) + \tan (α))}

Go Torque Required in Lifting Load with Acme Threaded Power Screw

Mt li = 0.5 \cdot d m \cdot W \cdot (\frac{μ \cdot \sec ((0.253)) + \tan (α)}{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)})

Go Helix Angle of Power Screw given Effort Required in Lifting Load with Acme Threaded Screw

α = a \tan (\frac{P li - W \cdot μ \cdot \sec (0.253)}{W + P li \cdot μ \cdot \sec (0.253)})

How to Evaluate Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw?

Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw evaluator uses Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(sec(14.5*pi/180)*(Load on screw+Effort in lifting load*tan(Helix angle of screw))) to evaluate the Coefficient of friction at screw thread, Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw formula is defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact. Coefficient of friction at screw thread is denoted by μ symbol.

How to evaluate Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw using this online evaluator? To use this online evaluator for Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw, enter Effort in lifting load (P_li), Load on screw (W) & Helix angle of screw (α) and hit the calculate button.

FAQs on Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw

What is the formula to find Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw?

The formula of Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw is expressed as Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(sec(14.5*pi/180)*(Load on screw+Effort in lifting load*tan(Helix angle of screw))). Here is an example- 0.149953 = (402-1700*tan(0.0785398163397301))/(sec(14.5*pi/180)*(1700+402*tan(0.0785398163397301))).

How to calculate Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw?

With Effort in lifting load (P_li), Load on screw (W) & Helix angle of screw (α) we can find Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw using the formula - Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(sec(14.5*pi/180)*(Load on screw+Effort in lifting load*tan(Helix angle of screw))). This formula also uses Archimedes' constant and , Tangent (tan), Secant (sec) function(s).

What are the other ways to Calculate Coefficient of friction at screw thread?

Here are the different ways to Calculate Coefficient of friction at screw thread-

Coefficient of friction at screw thread=(2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.253)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*tan(Helix angle of screw)))
Coefficient of friction at screw thread=(2*Torque for lowering load+Load on screw*Mean Diameter of Power Screw*tan(Helix angle of screw))/(sec(0.253)*(Load on screw*Mean Diameter of Power Screw-2*Torque for lowering load*tan(Helix angle of screw)))
Coefficient of friction at screw thread=(Effort in lowering load+Load on screw*tan(Helix angle of screw))/(Load on screw*sec(0.253)-Effort in lowering load*sec(0.253)*tan(Helix angle of screw))

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Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Formula

​GoCoefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread Formula

​GoCoefficient of Friction of Power Screw given Torque Required in Lowering Load with Acme Thread Formula

Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Example

Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Solution

Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw Formula Elements

Other Formulas to find Coefficient of friction at screw thread

Other formulas in Acme Thread category

How to Evaluate Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw?

FAQs on Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw

Variable Name

GoCoefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread Formula

GoCoefficient of Friction of Power Screw given Torque Required in Lowering Load with Acme Thread Formula