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Total Torque Required to Overcome Friction in Rotating Screw Formula

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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. Check FAQs

T = W \cdot \tan (ψ + Φ) \cdot \frac{d m}{2} + μ c \cdot W \cdot R c

T - Total Torque?W - Weight of Body?ψ - Helix Angle?Φ - Limiting Angle of Friction?d_m - Mean Diameter of Screw?μ_c - Coefficient of Friction For Collar?R_c - Mean Radius of Collar?

Total Torque Required to Overcome Friction in Rotating Screw Example

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Here is how the Total Torque Required to Overcome Friction in Rotating Screw equation looks like with Values.

Here is how the Total Torque Required to Overcome Friction in Rotating Screw equation looks like with Units.

Here is how the Total Torque Required to Overcome Friction in Rotating Screw equation looks like.

52.3556 = 120 \cdot \tan (25 + 2) \cdot \frac{1.7}{2} + 0.16 \cdot 120 \cdot 0.02

52.3556N*m = 120N \cdot \tan (25° + 2°) \cdot \frac{1.7m}{2} + 0.16 \cdot 120N \cdot 0.02m

52.3556 = 120 \cdot \tan (25 + 2) \cdot \frac{1.7}{2} + 0.16 \cdot 120 \cdot 0.02

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Total Torque Required to Overcome Friction in Rotating Screw Solution

Follow our step by step solution on how to calculate Total Torque Required to Overcome Friction in Rotating Screw?

FIRST Step Consider the formula

T = W \cdot \tan (ψ + Φ) \cdot \frac{d m}{2} + μ c \cdot W \cdot R c

Next Step Substitute values of Variables

∴

T = 120N \cdot \tan (25° + 2°) \cdot \frac{1.7m}{2} + 0.16 \cdot 120N \cdot 0.02m

Next Step Convert Units

∴

T = 120N \cdot \tan (0.4363rad + 0.0349rad) \cdot \frac{1.7m}{2} + 0.16 \cdot 120N \cdot 0.02m

Next Step Prepare to Evaluate

∴

T = 120 \cdot \tan (0.4363 + 0.0349) \cdot \frac{1.7}{2} + 0.16 \cdot 120 \cdot 0.02

Next Step Evaluate

∴

T = 52.3555958484203N*m

LAST Step Rounding Answer

∴

T = 52.3556N*m

Total Torque Required to Overcome Friction in Rotating Screw Formula Elements

Variables

Functions

Total Torque

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.

Symbol: T

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Total Torque

Weight of Body

Weight of Body is the force acting on the object due to gravity.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Body

Helix Angle

Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle

Limiting Angle of Friction

The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Limiting Angle of Friction

Mean Diameter of Screw

Mean Diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.

Symbol: d_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Screw

Coefficient of Friction For Collar

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.

Symbol: μ_c

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction For Collar

Mean Radius of Collar

Mean Radius of Collar is the mean of inner and outer radius of collar.

Symbol: R_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Radius of Collar

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)

Other formulas in Laws of Friction category

Go Coefficient of Friction

μ = \frac{F lim}{R n}

Go Coefficient of Friction using Forces

μ = \frac{F c \cdot \tan (θ f) + P t}{F c - P t \cdot \tan (θ f)}

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

Total Torque Required to Overcome Friction in Rotating Screw evaluator 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 evaluate the Total Torque, Total Torque Required to Overcome Friction in Rotating Screw formula is defined as the measure of the total rotational force required to overcome the frictional resistance in a rotating screw, which is essential to determine the efficiency and performance of the screw in various mechanical systems. Total Torque is denoted by T symbol.

How to evaluate Total Torque Required to Overcome Friction in Rotating Screw using this online evaluator? To use this online evaluator 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.

FAQs on Total Torque Required to Overcome Friction in Rotating Screw

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

The formula of Total Torque Required to Overcome Friction in Rotating Screw is expressed as 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. Here is an example- 52.3556 = 120*tan(0.4363323129985+0.03490658503988)*1.7/2+0.16*120*0.02.

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

With 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) we can find Total Torque Required to Overcome Friction in Rotating Screw using the formula - 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. This formula also uses Tangent (tan) function(s).

Can the Total Torque Required to Overcome Friction in Rotating Screw be negative?

Yes, the Total Torque Required to Overcome Friction in Rotating Screw, measured in Torque can be negative.

Which unit is used to measure Total Torque Required to Overcome Friction in Rotating Screw?

Total Torque Required to Overcome Friction in Rotating Screw is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Total Torque Required to Overcome Friction in Rotating Screw can be measured.

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Total Torque Required to Overcome Friction in Rotating Screw Formula

Total Torque Required to Overcome Friction in Rotating Screw Example

Total Torque Required to Overcome Friction in Rotating Screw Solution

Total Torque Required to Overcome Friction in Rotating Screw Formula Elements

Other formulas in Laws of Friction category

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

FAQs on Total Torque Required to Overcome Friction in Rotating Screw

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