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Frictional Force in V Belt Drive Formula

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Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force. Check FAQs

F f = μ b \cdot R \cdot \cos e c (\frac{β}{2})

F_f - Force of Friction?μ_b - Coefficient of Friction b/w Belt & Sides of Groove?R - Total Reaction in Plane of Groove?β - Angle of Groove?

Frictional Force in V Belt Drive Example

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Here is how the Frictional Force in V Belt Drive equation looks like with Values.

Here is how the Frictional Force in V Belt Drive equation looks like with Units.

Here is how the Frictional Force in V Belt Drive equation looks like.

17.5042 = 0.3 \cdot 15 \cdot \cos e c (\frac{0.52}{2})

17.5042N = 0.3 \cdot 15N \cdot \cos e c (\frac{0.52rad}{2})

17.5042 = 0.3 \cdot 15 \cdot \cos e c (\frac{0.52}{2})

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Frictional Force in V Belt Drive Solution

Follow our step by step solution on how to calculate Frictional Force in V Belt Drive?

FIRST Step Consider the formula

F f = μ b \cdot R \cdot \cos e c (\frac{β}{2})

Next Step Substitute values of Variables

∴

F f = 0.3 \cdot 15N \cdot \cos e c (\frac{0.52rad}{2})

Next Step Prepare to Evaluate

∴

F f = 0.3 \cdot 15 \cdot \cos e c (\frac{0.52}{2})

Next Step Evaluate

∴

F f = 17.5042412460968N

LAST Step Rounding Answer

∴

F f = 17.5042N

Frictional Force in V Belt Drive Formula Elements

Variables

Functions

Force of Friction

Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.

Symbol: F_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force of Friction

Coefficient of Friction b/w Belt & Sides of Groove

Coefficient of friction b/w belt & sides of groove is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Friction b/w Belt & Sides of Groove

Total Reaction in Plane of Groove

Total Reaction in Plane of Groove is a measure of the force holding the two surfaces together.

Symbol: R

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Total Reaction in Plane of Groove

Angle of Groove

Angle of groove is shown in degrees and will include all of the groove, if it is a V Groove it will be a dimension from one groove face to the other.

Symbol: β

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Groove

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)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Other formulas in Belt Drive category

Go Power Transmitted by Belt

P = (T 1 - T 2) \cdot v

Go Relation between Pitch and Pitch Circle Diameter of Chain Drive

d p = P c \cdot \cos e c (\frac{180 \cdot \frac{π}{180}}{t s})

Go Torque Exerted on Driving Pulley

τ = (T 1 - T 2) \cdot \frac{d d}{2}

Go Torque Exerted on Driven Pulley

τ = (T 1 - T 2) \cdot \frac{d f}{2}

How to Evaluate Frictional Force in V Belt Drive?

Frictional Force in V Belt Drive evaluator uses Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2) to evaluate the Force of Friction, Frictional Force in V Belt Drive formula is defined as the measure of the force that opposes motion between the belt and the pulley in a V belt drive system, which is influenced by the belt's friction coefficient, pulley radius, and the angle of the V belt. Force of Friction is denoted by F_f symbol.

How to evaluate Frictional Force in V Belt Drive using this online evaluator? To use this online evaluator for Frictional Force in V Belt Drive, enter Coefficient of Friction b/w Belt & Sides of Groove (μ_b), Total Reaction in Plane of Groove (R) & Angle of Groove (β) and hit the calculate button.

FAQs on Frictional Force in V Belt Drive

What is the formula to find Frictional Force in V Belt Drive?

The formula of Frictional Force in V Belt Drive is expressed as Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2). Here is an example- 17.50424 = 0.3*15*cosec(0.52/2).

How to calculate Frictional Force in V Belt Drive?

With Coefficient of Friction b/w Belt & Sides of Groove (μ_b), Total Reaction in Plane of Groove (R) & Angle of Groove (β) we can find Frictional Force in V Belt Drive using the formula - Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2). This formula also uses Secant (sec), Cosecant (cosec) function(s).

Can the Frictional Force in V Belt Drive be negative?

No, the Frictional Force in V Belt Drive, measured in Force cannot be negative.

Which unit is used to measure Frictional Force in V Belt Drive?

Frictional Force in V Belt Drive is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Frictional Force in V Belt Drive can be measured.

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Frictional Force in V Belt Drive Formula

Frictional Force in V Belt Drive Example

Frictional Force in V Belt Drive Solution

Frictional Force in V Belt Drive Formula Elements

Other formulas in Belt Drive category

How to Evaluate Frictional Force in V Belt Drive?

FAQs on Frictional Force in V Belt Drive

Variable Name