Efficiency of Square Threaded Power Screw Solution

STEP 0: Pre-Calculation Summary
Formula Used
Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
η = tan(α)/((μ+tan(α))/(1-μ*tan(α)))
This formula uses 1 Functions, 3 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)
Variables Used
Efficiency of power screw - Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Helix angle of screw: 4.5 Degree --> 0.0785398163397301 Radian (Check conversion here)
Coefficient of friction at screw thread: 0.15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = tan(α)/((μ+tan(α))/(1-μ*tan(α))) --> tan(0.0785398163397301)/((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301)))
Evaluating ... ...
η = 0.340061358115195
STEP 3: Convert Result to Output's Unit
0.340061358115195 --> No Conversion Required
FINAL ANSWER
0.340061358115195 0.340061 <-- Efficiency of power screw
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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16 Torque Requirement in Lifting Load using Square Threaded Screw Calculators

Coefficient of Friction of Power Screw given Torque Required to Lift Load
Go Coefficient of friction at screw thread = ((2*Torque for lifting load/Mean Diameter of Power Screw)-Load on screw*tan(Helix angle of screw))/(Load on screw-(2*Torque for lifting load/Mean Diameter of Power Screw)*tan(Helix angle of screw))
Helix Angle of Power Screw given Torque Required to Lift Load
Go 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))
Load on Power Screw given Torque Required to Lift Load
Go Load on screw = (2*Torque for lifting load/Mean Diameter of Power Screw)*((1-Coefficient of friction at screw thread*tan(Helix angle of screw))/(Coefficient of friction at screw thread+tan(Helix angle of screw)))
Torque Required to Lift Load given Load
Go Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
Efficiency of Square Threaded Power Screw
Go Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw
Go Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)
Coefficient of Friction of Power Screw given Effort Required to Lift Load
Go Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(Load on screw+Effort in lifting load*tan(Helix angle of screw))
Helix Angle of Power Screw given Effort Required to Lift Load
Go 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))
Load on Power Screw given Effort Required to Lift Load
Go Load on screw = Effort in lifting 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 Lifting load using Power Screw
Go Effort in lifting 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)))
Maximum Efficiency of Square Threaded Screw
Go Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))
External Torque required to raise Load given Efficiency
Go Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)
Load on Screw given Overall Efficiency
Go Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw
Effort Required to Lift Load given Torque Required to Lift Load
Go Effort in lifting load = 2*Torque for lifting load/Mean Diameter of Power Screw
Mean Diameter of Power Screw given Torque Required to Lift Load
Go Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load
Torque Required to Lift Load given Effort
Go Torque for lifting load = Effort in lifting load*Mean Diameter of Power Screw/2

Efficiency of Square Threaded Power Screw Formula

Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))
η = tan(α)/((μ+tan(α))/(1-μ*tan(α)))

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.

How to Calculate Efficiency of Square Threaded Power Screw?

Efficiency of Square Threaded Power Screw calculator uses Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))) to calculate the Efficiency of power screw, Efficiency of Square Threaded Power Screw formula is defined as a way of describing the amount of useful ​output​ a process or machine can generate as a percentage of the ​input​ required to make it go. Efficiency of power screw is denoted by η symbol.

How to calculate Efficiency of Square Threaded Power Screw using this online calculator? To use this online calculator for Efficiency of Square Threaded Power Screw, enter Helix angle of screw (α) & Coefficient of friction at screw thread (μ) and hit the calculate button. Here is how the Efficiency of Square Threaded Power Screw calculation can be explained with given input values -> 0.340061 = tan(0.0785398163397301)/((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301))).

FAQ

What is Efficiency of Square Threaded Power Screw?
Efficiency of Square Threaded Power Screw formula is defined as a way of describing the amount of useful ​output​ a process or machine can generate as a percentage of the ​input​ required to make it go and is represented as η = tan(α)/((μ+tan(α))/(1-μ*tan(α))) or Efficiency of power screw = tan(Helix angle of 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 screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix & 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.
How to calculate Efficiency of Square Threaded Power Screw?
Efficiency of Square Threaded Power Screw formula is defined as a way of describing the amount of useful ​output​ a process or machine can generate as a percentage of the ​input​ required to make it go is calculated using Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))). To calculate Efficiency of Square Threaded Power Screw, you need Helix angle of screw (α) & Coefficient of friction at screw thread (μ). With our tool, you need to enter the respective value for Helix angle of screw & Coefficient of friction at screw thread and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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