Tension in Tight Side of Rope 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%
✖Angle of Contact is the angle subtended by the belt on the pulley.ⓘ Angle of Contact [θ_c]			+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 Rope Drive [T₁]

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Tension in Tight Side of Rope 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_c*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) - 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: 0.051416 --> No Conversion Required
Angle of Contact: 3.4658 Radian --> 3.4658 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_c*cosec(β/2)) --> 11*e^(0.051416*3.4658*cosec(0.52/2))

Evaluating ... ...

T₁ = 22.0002492919208

STEP 3: Convert Result to Output's Unit

22.0002492919208 Newton --> No Conversion Required

FINAL ANSWER

22.0002492919208 ≈ 22.00025 Newton <-- Tension in Tight Side of Belt

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Tension Calculators

Tension in Tight Side of Rope Drive

LaTeX 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

LaTeX 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

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

Tension in Tight Side for Transmission of Maximum Power by Belt

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

Tension in Tight Side of Rope Drive Formula

LaTeX 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))
T₁ = T₂*e^(μ_b*θ_c*cosec(β/2))

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 is rope drive used?

Rope drives were most widely used for power-transmission in mills and factories, where a single mill engine would have a large rope drive to each floor, where line shafts across each floor distribute power to the individual machines.

How to Calculate Tension in Tight Side of Rope Drive?

Tension in Tight Side of Rope 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 Rope Drive formula is defined as the measure of the force exerted on the tight side of a rope drive system, which is influenced by factors such as the coefficient of friction, angle of contact, and rope tension on the loose side, providing a critical parameter in the design and analysis of rope drive systems. Tension in Tight Side of Belt is denoted by T₁ symbol.

How to calculate Tension in Tight Side of Rope Drive using this online calculator? To use this online calculator for Tension in Tight Side of Rope Drive, enter Tension in Slack Side of Belt (T₂), Coefficient of Friction b/w Belt & Sides of Groove (μ_b), Angle of Contact (θ_c) & Angle of Groove (β) and hit the calculate button. Here is how the Tension in Tight Side of Rope Drive calculation can be explained with given input values -> 627.8546 = 11*e^(0.051416*3.4658*cosec(0.52/2)).

FAQ

What is Tension in Tight Side of Rope Drive?

Tension in Tight Side of Rope Drive formula is defined as the measure of the force exerted on the tight side of a rope drive system, which is influenced by factors such as the coefficient of friction, angle of contact, and rope tension on the loose side, providing a critical parameter in the design and analysis of rope drive systems and is represented as T₁ = T₂*e^(μ_b*θ_c*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, 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 Rope Drive?

Tension in Tight Side of Rope Drive formula is defined as the measure of the force exerted on the tight side of a rope drive system, which is influenced by factors such as the coefficient of friction, angle of contact, and rope tension on the loose side, providing a critical parameter in the design and analysis of rope drive systems 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 Rope 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_c) & 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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