Helix Angle of Power Screw given Effort Required in Lowering Load Calculator

✖Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.ⓘ Load on screw [W]			+10% -10%
✖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.ⓘ Coefficient of friction at screw thread [μ]			+10% -10%
✖Effort in lowering load is the force required to overcome the resistance to lower the load.ⓘ Effort in lowering load [P_lo]			+10% -10%

✖Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.ⓘ Helix Angle of Power Screw given Effort Required in Lowering Load [α]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
α = atan((W*μ-P_lo)/(μ*P_lo+W))
This formula uses 2 Functions, 4 Variables

Functions Used

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., 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., atan(Number)

Variables Used

Helix angle of screw - (Measured in Radian) - Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.
Load on screw - (Measured in Newton) - Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.
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.
Effort in lowering load - (Measured in Newton) - Effort in lowering load is the force required to overcome the resistance to lower the load.

STEP 1: Convert Input(s) to Base Unit

Load on screw: 1700 Newton --> 1700 Newton No Conversion Required
Coefficient of friction at screw thread: 0.15 --> No Conversion Required
Effort in lowering load: 120 Newton --> 120 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = atan((W*μ-P_lo)/(μ*P_lo+W)) --> atan((1700*0.15-120)/(0.15*120+1700))

Evaluating ... ...

α = 0.0784186030307016

STEP 3: Convert Result to Output's Unit

0.0784186030307016 Radian -->4.49305498897185 Degree (Check conversion here)

FINAL ANSWER

4.49305498897185 ≈ 4.493055 Degree <-- Helix angle of screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Torque Requirement in Lowering Load using Square threaded Screws » Helix Angle of Power Screw given Effort Required in Lowering Load

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< Torque Requirement in Lowering Load using Square threaded Screws Calculators

Coefficient of Friction of Screw Thread given Load

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

Helix Angle of Power Screw given Effort Required in Lowering Load

Go 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))

Load on power Screw given Effort Required in Lowering Load

Go Load on screw = Effort in lowering load/((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))

Effort Required in Lowering Load

Go Effort in lowering load = Load on screw*((Coefficient of friction at screw thread-tan(Helix angle of screw))/(1+Coefficient of friction at screw thread*tan(Helix angle of screw)))

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

Define Helix Angle?

In mechanical engineering, a helix angle is 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.The helix angle is crucial in mechanical engineering applications that involve power transfer and motion conversion. Some examples are outlined below, though its use is much more widely spread

How to Calculate Helix Angle of Power Screw given Effort Required in Lowering Load?

Helix Angle of Power Screw given Effort Required in Lowering Load calculator uses 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)) to calculate the Helix angle of screw, Helix Angle of Power Screw given Effort 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 calculate Helix Angle of Power Screw given Effort Required in Lowering Load using this online calculator? To use this online calculator for Helix Angle of Power Screw given Effort Required in Lowering Load, enter Load on screw (W), Coefficient of friction at screw thread (μ) & Effort in lowering load (P_lo) and hit the calculate button. Here is how the Helix Angle of Power Screw given Effort Required in Lowering Load calculation can be explained with given input values -> 257.4331 = atan((1700*0.15-120)/(0.15*120+1700)).

FAQ

What is Helix Angle of Power Screw given Effort Required in Lowering Load?

Helix Angle of Power Screw given Effort 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 and is represented as α = atan((W*μ-P_lo)/(μ*P_lo+W)) or 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)). Load on screw is defined as the weight (force) of the body that is acted upon the screw threads, 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 & Effort in lowering load is the force required to overcome the resistance to lower the load.

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

Helix Angle of Power Screw given Effort 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 is calculated using 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)). To calculate Helix Angle of Power Screw given Effort Required in Lowering Load, you need Load on screw (W), Coefficient of friction at screw thread (μ) & Effort in lowering load (P_lo). With our tool, you need to enter the respective value for Load on screw, Coefficient of friction at screw thread & Effort in lowering load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Helix angle of screw?

In this formula, Helix angle of screw uses Load on screw, Coefficient of friction at screw thread & Effort in lowering load. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))

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