FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw Formula

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

GoHelix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw Formula

Fx Copy

LaTeX Copy

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{W \cdot μ \cdot \sec (15 \cdot \frac{π}{180}) - P lo}{W + (P lo \cdot μ \cdot \sec (15 \cdot \frac{π}{180}))})

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

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw Example

With values

With units

Only example

Here is how the Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw equation looks like with Values.

Here is how the Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw equation looks like with Units.

Here is how the Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw equation looks like.

4.7893 = a \tan (\frac{1700 \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}) - 120}{1700 + (120 \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}))})

4.7893° = a \tan (\frac{1700N \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}) - 120N}{1700N + (120N \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}))})

4.7893 = a \tan (\frac{1700 \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}) - 120}{1700 + (120 \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}))})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw Solution

Follow our step by step solution on how to calculate Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

FIRST Step Consider the formula

α = a \tan (\frac{W \cdot μ \cdot \sec (15 \cdot \frac{π}{180}) - P lo}{W + (P lo \cdot μ \cdot \sec (15 \cdot \frac{π}{180}))})

Next Step Substitute values of Variables

∴

α = a \tan (\frac{1700N \cdot 0.15 \cdot \sec (15 \cdot \frac{π}{180}) - 120N}{1700N + (120N \cdot 0.15 \cdot \sec (15 \cdot \frac{π}{180}))})

Next Step Substitute values of Constants

∴

α = a \tan (\frac{1700N \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}) - 120N}{1700N + (120N \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}))})

Next Step Prepare to Evaluate

∴

α = a \tan (\frac{1700 \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}) - 120}{1700 + (120 \cdot 0.15 \cdot \sec (15 \cdot \frac{3.1416}{180}))})

Next Step Evaluate

∴

α = 0.0835895327716902rad

Next Step Convert to Output's Unit

∴

α = 4.78932743928923°

LAST Step Rounding Answer

∴

α = 4.7893°

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal 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

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

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 lowering load

Effort in lowering load is the force required to overcome the resistance to lower the load.

Symbol: P_lo

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort in lowering load

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

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

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

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

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 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 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 Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw evaluator uses Helix angle of screw = atan((Load on screw*Coefficient of friction at screw thread*sec(15*pi/180)-Effort in lowering load)/(Load on screw+(Effort in lowering load*Coefficient of friction at screw thread*sec(15*pi/180)))) to evaluate the Helix angle of screw, Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal 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 Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw using this online evaluator? To use this online evaluator for Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw, enter Load on screw (W), Coefficient of friction at screw thread (μ) & Effort in lowering load (P_lo) and hit the calculate button.

FAQs on Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw

What is the formula to find Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

The formula of Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw is expressed as Helix angle of screw = atan((Load on screw*Coefficient of friction at screw thread*sec(15*pi/180)-Effort in lowering load)/(Load on screw+(Effort in lowering load*Coefficient of friction at screw thread*sec(15*pi/180)))). Here is an example- 274.4082 = atan((1700*0.15*sec(15*pi/180)-120)/(1700+(120*0.15*sec(15*pi/180)))).

How to calculate Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

With Load on screw (W), Coefficient of friction at screw thread (μ) & Effort in lowering load (P_lo) we can find Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw using the formula - Helix angle of screw = atan((Load on screw*Coefficient of friction at screw thread*sec(15*pi/180)-Effort in lowering load)/(Load on screw+(Effort in lowering load*Coefficient of friction at screw thread*sec(15*pi/180)))). This formula also uses Archimedes' constant and , Tangent (tan), Secant (sec), 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*sec(0.2618))/(Load on screw+(Effort in lifting load*Coefficient of friction at screw thread*sec(0.2618))))
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(0.2618)))/((Load on screw*Mean Diameter of Power Screw)+(2*Torque for lifting load*Coefficient of friction at screw thread*sec(0.2618))))
Helix angle of screw=atan(((Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread*sec(0.2618))-(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(0.2618))))

Can the Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw be negative?

No, the Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw Formula

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

​GoHelix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw Formula

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw Example

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw Solution

Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw Formula Elements

Other Formulas to find Helix angle of screw

Other formulas in Trapezoidal Thread category

How to Evaluate Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw?

FAQs on Helix Angle of Screw given Effort Required in Lowering Load with Trapezoidal Threaded Screw

Variable Name

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

GoHelix Angle of Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw Formula