Frictional Force in V Belt Drive Calculator

✖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.ⓘ Coefficient of Friction b/w Belt & Sides of Groove [μ_b]			+10% -10%
✖Total Reaction in Plane of Groove is a measure of the force holding the two surfaces together.ⓘ Total Reaction in Plane of Groove [R]			+10% -10%
✖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.ⓘ Angle of Groove [β]			+10% -10%

✖Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.ⓘ Frictional Force in V Belt Drive [F_f]

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Frictional Force in V Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2)
F_f = μ_b*R*cosec(β/2)
This formula uses 2 Functions, 4 Variables

Functions Used

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., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)

Variables Used

Force of Friction - (Measured in Newton) - Force of Friction used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
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.
Total Reaction in Plane of Groove - (Measured in Newton) - Total Reaction in Plane of Groove is a measure of the force holding the two surfaces together.
Angle of Groove - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction b/w Belt & Sides of Groove: 0.3 --> No Conversion Required
Total Reaction in Plane of Groove: 15 Newton --> 15 Newton No Conversion Required
Angle of Groove: 0.52 Radian --> 0.52 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_f = μ_b*R*cosec(β/2) --> 0.3*15*cosec(0.52/2)

Evaluating ... ...

F_f = 17.5042412460968

STEP 3: Convert Result to Output's Unit

17.5042412460968 Newton --> No Conversion Required

FINAL ANSWER

17.5042412460968 ≈ 17.50424 Newton <-- Force of Friction

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Frictional Force in V Belt Drive Formula

LaTeX Go

Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2)
F_f = μ_b*R*cosec(β/2)

What is Frictional Force?

The friction force is the force exerted by a surface as an object moves across it or makes an effort to move across it. There are at least two types of friction force - sliding and static friction. Though it is not always the case, the friction force often opposes the motion of an object.

How to Calculate Frictional Force in V Belt Drive?

Frictional Force in V Belt Drive calculator 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 calculate 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 calculate Frictional Force in V Belt Drive using this online calculator? To use this online calculator 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. Here is how the Frictional Force in V Belt Drive calculation can be explained with given input values -> 17.50424 = 0.3*15*cosec(0.52/2).

FAQ

What is Frictional Force in V Belt Drive?

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 and is represented as F_f = μ_b*R*cosec(β/2) or Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2). 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, Total Reaction in Plane of Groove is a measure of the force holding the two surfaces together & 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.

How to calculate Frictional Force in V Belt Drive?

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 is calculated using Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2). To calculate Frictional Force in V Belt Drive, you need Coefficient of Friction b/w Belt & Sides of Groove (μ_b), Total Reaction in Plane of Groove (R) & Angle of Groove (β). With our tool, you need to enter the respective value for Coefficient of Friction b/w Belt & Sides of Groove, Total Reaction in Plane of Groove & Angle of Groove 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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