Total Torque Required to Overcome Friction in Rotating Screw Calculator

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Friction

Engineering Mechanics

General Principal to Dynamics

Properties of Planes and Solids

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✖Weight of Body is the force acting on the object due to gravity.ⓘ Weight of Body [W]			+10% -10%
✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle [ψ]			+10% -10%
✖The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).ⓘ Limiting Angle of Friction [Φ]			+10% -10%
✖Mean diameter of screw is the distance from the outer thread on one side to the outer thread on the other side.ⓘ Mean Diameter of Screw [d_m]			+10% -10%
✖The Coefficient of Friction for Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction for Collar [μ_c]			+10% -10%
✖Mean radius of collar is the mean of inner and outer radius of collar.ⓘ Mean Radius of Collar [R_c]			+10% -10%

✖Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.ⓘ Total Torque Required to Overcome Friction in Rotating Screw [T]

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Formula

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Total Torque Required to Overcome Friction in Rotating Screw

Formula

`"T" = "W"*tan("ψ"+"Φ")*"d"_{"m"}/2+"μ"_{"c"}*"W"*"R"_{"c"}`

Example

`"52.3556N*m"="120N"*tan("25°"+"2°")*"1.7m"/2+"0.16"*"120N"*"0.02m"`

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Total Torque Required to Overcome Friction in Rotating Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Torque = Weight of Body*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2+Coefficient of Friction for Collar*Weight of Body*Mean Radius of Collar
T = W*tan(ψ+Φ)*d_m/2+μ_c*W*R_c
This formula uses 1 Functions, 7 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

Total Torque - (Measured in Newton Meter) - Total Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.
Weight of Body - (Measured in Newton) - Weight of Body is the force acting on the object due to gravity.
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
Limiting Angle of Friction - (Measured in Radian) - The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).
Mean Diameter of Screw - (Measured in Meter) - Mean diameter of screw is the distance from the outer thread on one side to the outer thread on the other side.
Coefficient of Friction for Collar - The Coefficient of Friction for Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Mean Radius of Collar - (Measured in Meter) - Mean radius of collar is the mean of inner and outer radius of collar.

STEP 1: Convert Input(s) to Base Unit

Weight of Body: 120 Newton --> 120 Newton No Conversion Required
Helix Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
Limiting Angle of Friction: 2 Degree --> 0.03490658503988 Radian (Check conversion here)
Mean Diameter of Screw: 1.7 Meter --> 1.7 Meter No Conversion Required
Coefficient of Friction for Collar: 0.16 --> No Conversion Required
Mean Radius of Collar: 0.02 Meter --> 0.02 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = W*tan(ψ+Φ)*d_m/2+μ_c*W*R_c --> 120*tan(0.4363323129985+0.03490658503988)*1.7/2+0.16*120*0.02

Evaluating ... ...

T = 52.3555958484203

STEP 3: Convert Result to Output's Unit

52.3555958484203 Newton Meter --> No Conversion Required

FINAL ANSWER

52.3555958484203 ≈ 52.3556 Newton Meter <-- Total Torque

(Calculation completed in 00.004 seconds)

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< 3 Laws of Friction Calculators

Total Torque Required to Overcome Friction in Rotating Screw

Go Total Torque = Weight of Body*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2+Coefficient of Friction for Collar*Weight of Body*Mean Radius of Collar

Coefficient of Friction using Forces

Go Coefficient of Friction = (Centripetal Force*tan(Angle of Friction)+Tangential Force)/(Centripetal Force-Tangential Force*tan(Angle of Friction))

Coefficient of Friction

Go Coefficient of Friction = Limiting Force/Normal Reaction

Total Torque Required to Overcome Friction in Rotating Screw Formula

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There are 3 main types of screw jacks: machine/worm gear screw jacks, ball screw jacks, and bevel gear jacks. Within these, there are 3 subcategories related to the mode of operation: Translating, Keyed and Rotating/Traveling nut. The advantages and disadvantages of each type are given below.

How to Calculate Total Torque Required to Overcome Friction in Rotating Screw?

Total Torque Required to Overcome Friction in Rotating Screw calculator uses Total Torque = Weight of Body*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2+Coefficient of Friction for Collar*Weight of Body*Mean Radius of Collar to calculate the Total Torque, Total torque required to overcome friction in rotating screw is the measure of the force that can cause an object to rotate about an axis. Total Torque is denoted by T symbol.

How to calculate Total Torque Required to Overcome Friction in Rotating Screw using this online calculator? To use this online calculator for Total Torque Required to Overcome Friction in Rotating Screw, enter Weight of Body (W), Helix Angle (ψ), Limiting Angle of Friction (Φ), Mean Diameter of Screw (d_m), Coefficient of Friction for Collar (μ_c) & Mean Radius of Collar (R_c) and hit the calculate button. Here is how the Total Torque Required to Overcome Friction in Rotating Screw calculation can be explained with given input values -> 122.6701 = 120*tan(0.4363323129985+0.03490658503988)*1.7/2+0.16*120*0.02.

FAQ

What is Total Torque Required to Overcome Friction in Rotating Screw?

Total torque required to overcome friction in rotating screw is the measure of the force that can cause an object to rotate about an axis and is represented as T = W*tan(ψ+Φ)*d_m/2+μ_c*W*R_c or Total Torque = Weight of Body*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2+Coefficient of Friction for Collar*Weight of Body*Mean Radius of Collar. Weight of Body is the force acting on the object due to gravity, Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone, The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN), Mean diameter of screw is the distance from the outer thread on one side to the outer thread on the other side, The Coefficient of Friction for Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & Mean radius of collar is the mean of inner and outer radius of collar.

How to calculate Total Torque Required to Overcome Friction in Rotating Screw?

Total torque required to overcome friction in rotating screw is the measure of the force that can cause an object to rotate about an axis is calculated using Total Torque = Weight of Body*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw/2+Coefficient of Friction for Collar*Weight of Body*Mean Radius of Collar. To calculate Total Torque Required to Overcome Friction in Rotating Screw, you need Weight of Body (W), Helix Angle (ψ), Limiting Angle of Friction (Φ), Mean Diameter of Screw (d_m), Coefficient of Friction for Collar (μ_c) & Mean Radius of Collar (R_c). With our tool, you need to enter the respective value for Weight of Body, Helix Angle, Limiting Angle of Friction, Mean Diameter of Screw, Coefficient of Friction for Collar & Mean Radius of Collar 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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