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_friction]

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Formula

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Frictional Force in V Belt Drive

Formula

`"F"_{"friction"} = "μ"_{"b"}*"R"*cosec("β"/2)`

Example

`"17.50424N"="0.3"*"15N"*cosec("0.52rad"/2)`

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

Evaluating ... ...

F_friction = 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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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 20 Belt Drive Calculators

Length of Open Belt Drive

Go Total Length of Belt = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radii of Larger Pulley-Radii of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys

Cross Belt Drive Length

Go Length Belt Drive = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+(Radii of Smaller Pulley+Radii of Larger Pulley)^2/Distance Between Centers of Two Pulleys

Frictional Force in V Belt Drive

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

Relation between Pitch and Pitch Circle Diameter of Chain Drive

Go Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)

Angle Made by Belt with Vertical Axis for Cross Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Smaller Pulley+Radii of Larger Pulley)/Distance Between Centers of Two Pulleys

Angle Made by Belt with Vertical Axis for Open Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Larger Pulley-Radii of Smaller Pulley)/Distance Between Centers of Two Pulleys

Initial Tension in Belt

Go Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2

Normal Reaction between Belt and Sides of Groove

Go Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))

Torque Exerted on Driven Pulley

Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Follower/2

Torque Exerted on Driving Pulley

Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Driver/2

Power Transmitted by Belt

Go Power Transmitted = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Velocity of Belt

Velocity for Transmission of Maximum Power by Belt

Go Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length))

Length of Belt that Passes over Follower

Go Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley

Length of Belt that Passes over Driver

Go Length of Belt over Driver = pi*Diameter of Driver Pulley*Speed of Driver

Maximum Tension of Belt

Go Maximum Tension of Belt = Maximum Safe Stress*Belt Width*Belt Thickness

Total Percentage Slip in Belt

Go Total Percentage of Slip = Slip between Driver and Belt+Slip between Belt and Follower

Centrifugal Tension in Belt

Go Centrifugal Tension of Belt = Mass of Belt per Unit Length*Velocity of Belt

Angle of Contact for Cross Belt Drive

Go Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis

Angle of Contact for Open Belt Drive

Go Angle of Contact = 180*pi/180-2*Angle made by Belt with Vertical Axis

Maximum Tension for Transmission of Maximum Power by Belt

Go Maximum Tension of Belt = 3*Centrifugal Tension of Belt

Frictional Force in V Belt Drive Formula

Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2)
F_friction = 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 is the force exerted by a surface as an object moves across it or makes an effort to move across it. Force of Friction is denoted by F_friction 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 is the force exerted by a surface as an object moves across it or makes an effort to move across it and is represented as F_friction = 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 is the force exerted by a surface as an object moves across it or makes an effort to move across it 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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