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Helix Angle of Power Screw given Torque Required in Lowering Load Formula

GoHelix Angle of Power Screw given Effort Required in Lowering 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{μ \cdot W \cdot d m - (2 \cdot Mt lo)}{2 \cdot Mt lo \cdot μ + (W \cdot d m)})

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

Helix Angle of Power Screw given Torque Required in Lowering Load Example

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

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

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

4.2015 = a \tan (\frac{0.15 \cdot 1700 \cdot 46 - (2 \cdot 2960)}{2 \cdot 2960 \cdot 0.15 + (1700 \cdot 46)})

4.2015° = a \tan (\frac{0.15 \cdot 1700N \cdot 46mm - (2 \cdot 2960N*mm)}{2 \cdot 2960N*mm \cdot 0.15 + (1700N \cdot 46mm)})

4.2015 = a \tan (\frac{0.15 \cdot 1700 \cdot 46 - (2 \cdot 2960)}{2 \cdot 2960 \cdot 0.15 + (1700 \cdot 46)})

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Helix Angle of Power Screw given Torque Required in Lowering Load Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

α = a \tan (\frac{0.15 \cdot 1700N \cdot 46mm - (2 \cdot 2960N*mm)}{2 \cdot 2960N*mm \cdot 0.15 + (1700N \cdot 46mm)})

Next Step Convert Units

∴

α = a \tan (\frac{0.15 \cdot 1700N \cdot 0.046m - (2 \cdot 2.96N*m)}{2 \cdot 2.96N*m \cdot 0.15 + (1700N \cdot 0.046m)})

Next Step Prepare to Evaluate

∴

α = a \tan (\frac{0.15 \cdot 1700 \cdot 0.046 - (2 \cdot 2.96)}{2 \cdot 2.96 \cdot 0.15 + (1700 \cdot 0.046)})

Next Step Evaluate

∴

α = 0.0733307459615802rad

Next Step Convert to Output's Unit

∴

α = 4.20154225214534°

LAST Step Rounding Answer

∴

α = 4.2015°

Helix Angle of Power Screw given Torque Required in Lowering 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

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

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

Torque for lowering load

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

Symbol: Mt_lo

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lowering load

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 in Lowering Load

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

Other formulas in Torque Requirement in Lowering Load using Square threaded Screws category

Go Effort Required in Lowering Load

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

Go Load on power Screw given Effort Required in Lowering Load

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

Go Coefficient of Friction of Screw Thread given Load

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

Go Torque Required in Lowering Load on Power Screw

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

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

Helix Angle of Power Screw given Torque Required in Lowering Load evaluator uses Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering 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 in Lowering Load formula is defined as the angle between any helix and an axial line on its right, circular cylinder, or cone. Common applications are screws, helical gears, and worm gears. Helix angle of screw is denoted by α symbol.

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

FAQs on Helix Angle of Power Screw given Torque Required in Lowering Load

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

The formula of Helix Angle of Power Screw given Torque Required in Lowering Load is expressed as Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering load*Coefficient of friction at screw thread+(Load on screw*Mean Diameter of Power Screw))). Here is an example- 240.7306 = atan((0.15*1700*0.046-(2*2.96))/(2*2.96*0.15+(1700*0.046))).

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

With Coefficient of friction at screw thread (μ), Load on screw (W), Mean Diameter of Power Screw (d_m) & Torque for lowering load (Mt_lo) we can find Helix Angle of Power Screw given Torque Required in Lowering Load using the formula - Helix angle of screw = atan((Coefficient of friction at screw thread*Load on screw*Mean Diameter of Power Screw-(2*Torque for lowering load))/(2*Torque for lowering 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((Load on screw*Coefficient of friction at screw thread-Effort in lowering load)/(Coefficient of friction at screw thread*Effort in lowering load+Load on screw))

Can the Helix Angle of Power Screw given Torque Required in Lowering Load be negative?

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

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

Helix Angle of Power Screw given Torque Required in Lowering 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 in Lowering Load can be measured.

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Helix Angle of Power Screw given Torque Required in Lowering Load Formula

​GoHelix Angle of Power Screw given Effort Required in Lowering Load Formula

Helix Angle of Power Screw given Torque Required in Lowering Load Example

Helix Angle of Power Screw given Torque Required in Lowering Load Solution

Helix Angle of Power Screw given Torque Required in Lowering Load Formula Elements

Other Formulas to find Helix angle of screw

Other formulas in Torque Requirement in Lowering Load using Square threaded Screws category

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

FAQs on Helix Angle of Power Screw given Torque Required in Lowering Load

Variable Name

GoHelix Angle of Power Screw given Effort Required in Lowering Load Formula