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Helix Angle of Power Screw given Torque Required to Lift Load Formula

GoHelix Angle of Power Screw given Effort Required to Lift Load Formula

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

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

α - Helix angle of screw?Mt_li - Torque for lifting load?W - Load on screw?d_m - Mean Diameter of Power Screw?μ - Coefficient of friction at screw thread?

Helix Angle of Power Screw given Torque Required to Lift Load Example

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Here is how the Helix Angle of Power Screw given Torque Required to Lift Load equation looks like with Values.

Here is how the Helix Angle of Power Screw given Torque Required to Lift Load equation looks like with Units.

Here is how the Helix Angle of Power Screw given Torque Required to Lift Load equation looks like.

4.8 = a \tan (\frac{2 \cdot 9265 - 1700 \cdot 46 \cdot 0.15}{2 \cdot 9265 \cdot 0.15 + 1700 \cdot 46})

4.8° = a \tan (\frac{2 \cdot 9265N*mm - 1700N \cdot 46mm \cdot 0.15}{2 \cdot 9265N*mm \cdot 0.15 + 1700N \cdot 46mm})

4.8 = a \tan (\frac{2 \cdot 9265 - 1700 \cdot 46 \cdot 0.15}{2 \cdot 9265 \cdot 0.15 + 1700 \cdot 46})

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Helix Angle of Power Screw given Torque Required to Lift Load Solution

Follow our step by step solution on how to calculate Helix Angle of Power Screw given Torque Required to Lift Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

α = a \tan (\frac{2 \cdot 9265N*mm - 1700N \cdot 46mm \cdot 0.15}{2 \cdot 9265N*mm \cdot 0.15 + 1700N \cdot 46mm})

Next Step Convert Units

∴

α = a \tan (\frac{2 \cdot 9.265N*m - 1700N \cdot 0.046m \cdot 0.15}{2 \cdot 9.265N*m \cdot 0.15 + 1700N \cdot 0.046m})

Next Step Prepare to Evaluate

∴

α = a \tan (\frac{2 \cdot 9.265 - 1700 \cdot 0.046 \cdot 0.15}{2 \cdot 9.265 \cdot 0.15 + 1700 \cdot 0.046})

Next Step Evaluate

∴

α = 0.0837753306881357rad

Next Step Convert to Output's Unit

∴

α = 4.79997287574388°

LAST Step Rounding Answer

∴

α = 4.8°

Helix Angle of Power Screw given Torque Required to Lift Load Formula Elements

Variables

Functions

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

Torque for lifting load

Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load.

Symbol: Mt_li

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for 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

Mean Diameter of Power Screw

Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Power Screw

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

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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other Formulas to find Helix angle of screw

Go Helix Angle of Power Screw given Effort Required to Lift Load

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

Other formulas in Torque Requirement in Lifting Load using Square Threaded Screw category

Go Effort Required in Lifting load using Power Screw

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

Go Load on Power Screw given Effort Required to Lift Load

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

Go Coefficient of Friction of Power Screw given Effort Required to Lift Load

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

Go Torque Required to Lift Load given Effort

Mt li = P li \cdot \frac{d m}{2}

How to Evaluate Helix Angle of Power Screw given Torque Required to Lift Load?

Helix Angle of Power Screw given Torque Required to Lift Load evaluator uses Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw)) to evaluate the Helix angle of screw, Helix Angle of Power Screw given Torque Required to Lift Load formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw. The helix angle is related to the lead and the mean diameter of the screw. Helix angle of screw is denoted by α symbol.

How to evaluate Helix Angle of Power Screw given Torque Required to Lift Load using this online evaluator? To use this online evaluator for Helix Angle of Power Screw given Torque Required to Lift Load, enter Torque for lifting load (Mt_li), Load on screw (W), Mean Diameter of Power Screw (d_m) & Coefficient of friction at screw thread (μ) and hit the calculate button.

FAQs on Helix Angle of Power Screw given Torque Required to Lift Load

What is the formula to find Helix Angle of Power Screw given Torque Required to Lift Load?

The formula of Helix Angle of Power Screw given Torque Required to Lift Load is expressed as Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw)). Here is an example- 275.0182 = atan((2*9.265-1700*0.046*0.15)/(2*9.265*0.15+1700*0.046)).

How to calculate Helix Angle of Power Screw given Torque Required to Lift Load?

With Torque for lifting load (Mt_li), Load on screw (W), Mean Diameter of Power Screw (d_m) & Coefficient of friction at screw thread (μ) we can find Helix Angle of Power Screw given Torque Required to Lift Load using the formula - Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw)). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Helix angle of screw?

Here are the different ways to Calculate Helix angle of screw-

Helix angle of screw=atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread)/(Effort in lifting load*Coefficient of friction at screw thread+Load on screw))

Can the Helix Angle of Power Screw given Torque Required to Lift Load be negative?

No, the Helix Angle of Power Screw given Torque Required to Lift Load, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle of Power Screw given Torque Required to Lift Load?

Helix Angle of Power Screw given Torque Required to Lift Load is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Helix Angle of Power Screw given Torque Required to Lift Load can be measured.

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Helix Angle of Power Screw given Torque Required to Lift Load Formula

​GoHelix Angle of Power Screw given Effort Required to Lift Load Formula

Helix Angle of Power Screw given Torque Required to Lift Load Example

Helix Angle of Power Screw given Torque Required to Lift Load Solution

Helix Angle of Power Screw given Torque Required to Lift Load Formula Elements

Other Formulas to find Helix angle of screw

Other formulas in Torque Requirement in Lifting Load using Square Threaded Screw category

How to Evaluate Helix Angle of Power Screw given Torque Required to Lift Load?

FAQs on Helix Angle of Power Screw given Torque Required to Lift Load

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GoHelix Angle of Power Screw given Effort Required to Lift Load Formula