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

GoHelix Angle of Power Screw given Effort Required in Lifting Load with Acme Threaded Screw Formula

GoHelix Angle of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw 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 \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})})

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?π - Archimedes' constant?

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

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

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

Here is how the Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw equation looks like.

4.7999 = a \tan (\frac{2 \cdot 9265 - 1700 \cdot 46 \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})}{1700 \cdot 46 + 2 \cdot 9265 \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})})

4.7999° = a \tan (\frac{2 \cdot 9265N*mm - 1700N \cdot 46mm \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})}{1700N \cdot 46mm + 2 \cdot 9265N*mm \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})})

4.7999 = a \tan (\frac{2 \cdot 9265 - 1700 \cdot 46 \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})}{1700 \cdot 46 + 2 \cdot 9265 \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})})

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

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

FIRST Step Consider the formula

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})})

Next Step Substitute values of Variables

∴

α = a \tan (\frac{2 \cdot 9265N*mm - 1700N \cdot 46mm \cdot 0.15 \cdot \sec (0.253 \cdot \frac{π}{180})}{1700N \cdot 46mm + 2 \cdot 9265N*mm \cdot 0.15 \cdot \sec (0.253 \cdot \frac{π}{180})})

Next Step Substitute values of Constants

∴

α = a \tan (\frac{2 \cdot 9265N*mm - 1700N \cdot 46mm \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})}{1700N \cdot 46mm + 2 \cdot 9265N*mm \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})})

Next Step Convert Units

∴

α = a \tan (\frac{2 \cdot 9.265N*m - 1700N \cdot 0.046m \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})}{1700N \cdot 0.046m + 2 \cdot 9.265N*m \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})})

Next Step Prepare to Evaluate

∴

α = a \tan (\frac{2 \cdot 9.265 - 1700 \cdot 0.046 \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})}{1700 \cdot 0.046 + 2 \cdot 9.265 \cdot 0.15 \cdot \sec (0.253 \cdot \frac{3.1416}{180})})

Next Step Evaluate

∴

α = 0.0837739004868655rad

Next Step Convert to Output's Unit

∴

α = 4.79989093124725°

LAST Step Rounding Answer

∴

α = 4.7999°

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

Variables

Constants

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

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)

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 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)})

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

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

Go Helix Angle of Power Screw given Load and Coefficient of Friction

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

Other formulas in Acme Thread category

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

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

How to Evaluate Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw?

Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw 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*sec(0.253*pi/180))/(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.253*pi/180))) to evaluate the Helix angle of screw, Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw formula is defined as the angle made by the helix of the thread with a plane perpendicular to the axis of the screw. Helix angle of screw is denoted by α symbol.

How to evaluate Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw using this online evaluator? To use this online evaluator for Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw, 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 in Lifting Load with Acme Threaded Screw

What is the formula to find Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw?

The formula of Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw 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*sec(0.253*pi/180))/(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.253*pi/180))). Here is an example- 275.0135 = atan((2*9.265-1700*0.046*0.15*sec(0.253*pi/180))/(1700*0.046+2*9.265*0.15*sec(0.253*pi/180))).

How to calculate Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw?

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 in Lifting Load with Acme Threaded Screw 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*sec(0.253*pi/180))/(Load on screw*Mean Diameter of Power Screw+2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.253*pi/180))). This formula also uses Archimedes' constant and , Tangent, Secant Function, Inverse tan 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*sec(0.253))/(Load on screw+Effort in lifting load*Coefficient of friction at screw thread*sec(0.253)))
Helix angle of screw=atan((Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread*sec(0.253)-2*Torque for lowering load)/(Load on screw*Mean Diameter of Power Screw+2*Torque for lowering load*Coefficient of friction at screw thread*sec(0.253)))
Helix angle of screw=atan((Load on screw*Coefficient of friction at screw thread*sec(0.253)-Effort in lowering load)/(Load on screw+(Effort in lowering load*Coefficient of friction at screw thread*sec(0.253))))

Can the Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw be negative?

No, the Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw?

Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw 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 Lifting Load with Acme Threaded Screw can be measured.

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

​GoHelix Angle of Power Screw given Effort Required in Lifting Load with Acme Threaded Screw Formula

​GoHelix Angle of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula

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

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

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

Other Formulas to find Helix angle of screw

Other formulas in Acme Thread category

How to Evaluate Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw?

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

Variable Name

GoHelix Angle of Power Screw given Effort Required in Lifting Load with Acme Threaded Screw Formula

GoHelix Angle of Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula