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Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw Formula

GoCoefficient of Friction of Screw given Effort for Trapezoidal Threaded Screw Formula

GoCoefficient of Friction of Screw given Torque Required in Lifting Load with Trapezoidal 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 = \tan (α) \cdot \frac{1 - η}{\sec (0.2618) \cdot (η + \tan (α) \cdot \tan (α))}

μ - Coefficient of friction at screw thread?α - Helix angle of screw?η - Efficiency of power screw?

Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw Example

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Here is how the Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw equation looks like with Values.

Here is how the Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw equation looks like with Units.

Here is how the Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw equation looks like.

0.1387 = \tan (4.5) \cdot \frac{1 - 0.35}{\sec (0.2618) \cdot (0.35 + \tan (4.5) \cdot \tan (4.5))}

0.1387 = \tan (4.5°) \cdot \frac{1 - 0.35}{\sec (0.2618) \cdot (0.35 + \tan (4.5°) \cdot \tan (4.5°))}

0.1387 = \tan (4.5) \cdot \frac{1 - 0.35}{\sec (0.2618) \cdot (0.35 + \tan (4.5) \cdot \tan (4.5))}

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Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw Solution

Follow our step by step solution on how to calculate Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw?

FIRST Step Consider the formula

μ = \tan (α) \cdot \frac{1 - η}{\sec (0.2618) \cdot (η + \tan (α) \cdot \tan (α))}

Next Step Substitute values of Variables

∴

μ = \tan (4.5°) \cdot \frac{1 - 0.35}{\sec (0.2618) \cdot (0.35 + \tan (4.5°) \cdot \tan (4.5°))}

Next Step Convert Units

∴

μ = \tan (0.0785rad) \cdot \frac{1 - 0.35}{\sec (0.2618) \cdot (0.35 + \tan (0.0785rad) \cdot \tan (0.0785rad))}

Next Step Prepare to Evaluate

∴

μ = \tan (0.0785) \cdot \frac{1 - 0.35}{\sec (0.2618) \cdot (0.35 + \tan (0.0785) \cdot \tan (0.0785))}

Next Step Evaluate

∴

μ = 0.138724978259968

LAST Step Rounding Answer

∴

μ = 0.1387

Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw Formula Elements

Variables

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

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

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

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 Screw given Effort for Trapezoidal Threaded Screw

μ = \frac{P li - (W \cdot \tan (α))}{\sec (0.2618) \cdot (W + P li \cdot \tan (α))}

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

μ = \frac{2 \cdot Mt li - W \cdot d m \cdot \tan (α)}{\sec (0.2618) \cdot (W \cdot d m + 2 \cdot Mt li \cdot \tan (α))}

Go Coefficient of Friction of Screw given Effort in Lowering Load

μ = \frac{P lo + W \cdot \tan (α)}{W \cdot \sec (0.2618) - P lo \cdot \sec (0.2618) \cdot \tan (α)}

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

μ = \frac{2 \cdot Mt lo + W \cdot d m \cdot \tan (α)}{\sec (0.2618) \cdot (W \cdot d m - 2 \cdot Mt lo \cdot \tan (α))}

Other formulas in Trapezoidal Thread category

Go Effort Required in Lifting Load with Trapezoidal Threaded Screw

P li = W \cdot (\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)})

Go Load on Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

W = \frac{P li}{\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)}}

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

α = a \tan (\frac{P li - W \cdot μ \cdot \sec (0.2618)}{W + (P li \cdot μ \cdot \sec (0.2618))})

Go Torque Required in Lifting Load with Trapezoidal Threaded Screw

Mt li = 0.5 \cdot d m \cdot W \cdot (\frac{(μ \cdot \sec ((0.2618))) + \tan (α)}{1 - (μ \cdot \sec ((0.2618)) \cdot \tan (α))})

How to Evaluate Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw?

Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw evaluator uses Coefficient of friction at screw thread = tan(Helix angle of screw)*(1-Efficiency of power screw)/(sec(0.2618)*(Efficiency of power screw+tan(Helix angle of screw)*tan(Helix angle of screw))) to evaluate the Coefficient of friction at screw thread, Coefficient of Friction of Screw given Efficiency of Trapezoidal 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 Screw given Efficiency of Trapezoidal Threaded Screw using this online evaluator? To use this online evaluator for Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw, enter Helix angle of screw (α) & Efficiency of power screw (η) and hit the calculate button.

FAQs on Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw

What is the formula to find Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw?

The formula of Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw is expressed as Coefficient of friction at screw thread = tan(Helix angle of screw)*(1-Efficiency of power screw)/(sec(0.2618)*(Efficiency of power screw+tan(Helix angle of screw)*tan(Helix angle of screw))). Here is an example- 0.138725 = tan(0.0785398163397301)*(1-0.35)/(sec(0.2618)*(0.35+tan(0.0785398163397301)*tan(0.0785398163397301))).

How to calculate Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw?

With Helix angle of screw (α) & Efficiency of power screw (η) we can find Coefficient of Friction of Screw given Efficiency of Trapezoidal Threaded Screw using the formula - Coefficient of friction at screw thread = tan(Helix angle of screw)*(1-Efficiency of power screw)/(sec(0.2618)*(Efficiency of power screw+tan(Helix angle of screw)*tan(Helix angle of screw))). This formula also uses Tangent, Secant Function 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=(Effort in lifting load-(Load on screw*tan(Helix angle of screw)))/(sec(0.2618)*(Load on screw+Effort in lifting load*tan(Helix angle of screw)))
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(0.2618)*(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting 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(0.2618)-Effort in lowering load*sec(0.2618)*tan(Helix angle of screw))

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