Tension in Tight Side of V Belt Drive Calculator

✖Tension in slack side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.ⓘ Tension in Slack Side of Belt [T₂]			+10% -10%
✖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%
✖The angle of contact is the angle subtended by the belt on the pulley.ⓘ Angle of Contact [θ_contact]			+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%

✖Tension in tight side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.ⓘ Tension in Tight Side of V Belt Drive [T₁]

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Formula

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Tension in Tight Side of V Belt Drive

Formula

`"T"_{"1"} = "T"_{"2"}*e^("μ"_{"b"}*"θ"_{"contact"}*cosec("β"/2))`

Example

`"13.4137N"="11N"*e^("0.3"*"0.17rad"*cosec("0.52rad"/2))`

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Tension in Tight Side of V Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2))
T₁ = T₂*e^(μ_b*θ_contact*cosec(β/2))
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

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

Tension in Tight Side of Belt - (Measured in Newton) - Tension in tight side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.
Tension in Slack Side of Belt - (Measured in Newton) - Tension in slack side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object.
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.
Angle of Contact - (Measured in Radian) - The angle of contact is the angle subtended by the belt on the pulley.
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

Tension in Slack Side of Belt: 11 Newton --> 11 Newton No Conversion Required
Coefficient of Friction b/w Belt & Sides of Groove: 0.3 --> No Conversion Required
Angle of Contact: 0.17 Radian --> 0.17 Radian No Conversion Required
Angle of Groove: 0.52 Radian --> 0.52 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T₁ = T₂*e^(μ_b*θ_contact*cosec(β/2)) --> 11*e^(0.3*0.17*cosec(0.52/2))

Evaluating ... ...

T₁ = 13.4137013528203

STEP 3: Convert Result to Output's Unit

13.4137013528203 Newton --> No Conversion Required

FINAL ANSWER

13.4137013528203 ≈ 13.4137 Newton <-- Tension in Tight Side of Belt

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 7 Tension Calculators

Tension on Tight Side given Centrifugal Tension and Tension on Slack Side

Go Total Tension in Tight Side = Centrifugal Tension of Belt+(Total Tension in Slack Side-Centrifugal Tension of Belt)*e^(Coefficient of Friction for Belt*Angle of Contact)

Tension in Tight Side of V Belt Drive

Go Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2))

Tension in Tight Side of Rope Drive

Go Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2))

Tension in Tight Side of Belt

Go Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction for Belt*Angle of Contact)

Tension on Slack Side when Centrifugal Tension is Taken in Account

Go Total Tension in Slack Side = Tension in Slack Side of Belt+Centrifugal Tension of Belt

Tension on Tight Side when Centrifugal Tension is Taken in Account

Go Total Tension in Tight Side = Tension in Tight Side of Belt+Centrifugal Tension of Belt

Tension in Tight Side for Transmission of Maximum Power by Belt

Go Tension in Tight Side of Belt = 2*Maximum Tension of Belt/3

Tension in Tight Side of V Belt Drive Formula

Why are tension belts important?

Proper belt tension is a critical step when installing a belt. Too little tension results in slippage, excess heat, and premature belt & pulley wear. Too much tension results in excessive stress on belts, bearings, and shafts. However, there is still a wide range of tension which a belt will operate satisfactorily.

Where are V belts used?

V-belts are commonly used in industrial applications because of their relative low cost, ease of installation, and wide range of sizes . The V-shape makes it easier to keep fast-moving belts in sheave grooves than it is to keep a flat belt on a pulley.

How to Calculate Tension in Tight Side of V Belt Drive?

Tension in Tight Side of V Belt Drive calculator uses Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2)) to calculate the Tension in Tight Side of Belt, Tension in tight side of V belt drive is determined by measuring the force to deflect the belt at a given distance per inch of the pulley. Tension in Tight Side of Belt is denoted by T₁ symbol.

How to calculate Tension in Tight Side of V Belt Drive using this online calculator? To use this online calculator for Tension in Tight Side of V Belt Drive, enter Tension in Slack Side of Belt (T₂), Coefficient of Friction b/w Belt & Sides of Groove (μ_b), Angle of Contact (θ_contact) & Angle of Groove (β) and hit the calculate button. Here is how the Tension in Tight Side of V Belt Drive calculation can be explained with given input values -> 13.4137 = 11*e^(0.3*0.17*cosec(0.52/2)).

FAQ

What is Tension in Tight Side of V Belt Drive?

Tension in tight side of V belt drive is determined by measuring the force to deflect the belt at a given distance per inch of the pulley and is represented as T₁ = T₂*e^(μ_b*θ_contact*cosec(β/2)) or Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2)). Tension in slack side of belt is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object, 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, The angle of contact is the angle subtended by the belt on the pulley & 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 Tension in Tight Side of V Belt Drive?

Tension in tight side of V belt drive is determined by measuring the force to deflect the belt at a given distance per inch of the pulley is calculated using Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2)). To calculate Tension in Tight Side of V Belt Drive, you need Tension in Slack Side of Belt (T₂), Coefficient of Friction b/w Belt & Sides of Groove (μ_b), Angle of Contact (θ_contact) & Angle of Groove (β). With our tool, you need to enter the respective value for Tension in Slack Side of Belt, Coefficient of Friction b/w Belt & Sides of Groove, Angle of Contact & Angle of Groove and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Tension in Tight Side of Belt?

In this formula, Tension in Tight Side of Belt uses Tension in Slack Side of Belt, Coefficient of Friction b/w Belt & Sides of Groove, Angle of Contact & Angle of Groove. We can use 3 other way(s) to calculate the same, which is/are as follows -

Tension in Tight Side of Belt = 2*Maximum Tension of Belt/3
Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction for Belt*Angle of Contact)
Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2))

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