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Tension in Tight Side of Rope Drive Formula

GoTension in Tight Side for Transmission of Maximum Power by Belt Formula

GoTension in Tight Side of Belt Formula

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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. Check FAQs

T 1 = T 2 \cdot e^{μ b \cdot θ c \cdot \cos e c (\frac{β}{2})}

T₁ - Tension in Tight Side of Belt?T₂ - Tension in Slack Side of Belt?μ_b - Coefficient of Friction b/w Belt & Sides of Groove?θ_c - Angle of Contact?β - Angle of Groove?

Tension in Tight Side of Rope Drive Example

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Here is how the Tension in Tight Side of Rope Drive equation looks like with Values.

Here is how the Tension in Tight Side of Rope Drive equation looks like with Units.

Here is how the Tension in Tight Side of Rope Drive equation looks like.

22.0002 = 11 \cdot e^{0.0514 \cdot 3.4658 \cdot \cos e c (\frac{0.52}{2})}

22.0002N = 11N \cdot e^{0.0514 \cdot 3.4658rad \cdot \cos e c (\frac{0.52rad}{2})}

22.0002 = 11 \cdot e^{0.0514 \cdot 3.4658 \cdot \cos e c (\frac{0.52}{2})}

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Tension in Tight Side of Rope Drive Solution

Follow our step by step solution on how to calculate Tension in Tight Side of Rope Drive?

FIRST Step Consider the formula

T 1 = T 2 \cdot e^{μ b \cdot θ c \cdot \cos e c (\frac{β}{2})}

Next Step Substitute values of Variables

∴

T 1 = 11N \cdot e^{0.0514 \cdot 3.4658rad \cdot \cos e c (\frac{0.52rad}{2})}

Next Step Prepare to Evaluate

∴

T 1 = 11 \cdot e^{0.0514 \cdot 3.4658 \cdot \cos e c (\frac{0.52}{2})}

Next Step Evaluate

∴

T 1 = 22.0002492919208N

LAST Step Rounding Answer

∴

T 1 = 22.0002N

Tension in Tight Side of Rope Drive Formula Elements

Variables

Functions

Tension in Tight Side of Belt

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.

Symbol: T₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tension in Tight Side of Belt

Tension in Slack Side of Belt

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.

Symbol: T₂

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tension in Slack Side of Belt

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

Angle of Contact

Angle of Contact is the angle subtended by the belt on the pulley.

Symbol: θ_c

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Contact

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 to find Tension in Tight Side of Belt

Go Tension in Tight Side for Transmission of Maximum Power by Belt

T 1 = 2 \cdot \frac{P max}{3}

Go Tension in Tight Side of Belt

T 1 = T 2 \cdot e^{μ \cdot θ c}

Go Tension in Tight Side of V Belt Drive

T 1 = T 2 \cdot e^{μ b \cdot θ c \cdot \cos e c (\frac{β}{2})}

Other formulas in Tension category

Go Tension on Slack Side when Centrifugal Tension is Taken in Account

T t2 = T 2 + T c

Go Tension on Tight Side when Centrifugal Tension is Taken in Account

T t1 = T 1 + T c

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

T t1 = T c + (T t2 - T c) \cdot e^{μ \cdot θ c}

How to Evaluate Tension in Tight Side of Rope Drive?

Tension in Tight Side of Rope Drive evaluator 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 evaluate 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 evaluate Tension in Tight Side of Rope Drive using this online evaluator? To use this online evaluator 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.

FAQs on Tension in Tight Side of Rope Drive

What is the formula to find Tension in Tight Side of Rope Drive?

The formula of Tension in Tight Side of Rope Drive is expressed as 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)). Here is an example- 627.8546 = 11*e^(0.051416*3.4658*cosec(0.52/2)).

How to calculate Tension in Tight Side of Rope Drive?

With 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) we can find Tension in Tight Side of Rope Drive using the formula - 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)). This formula also uses Secant (sec), Cosecant (cosec) function(s).

What are the other ways to Calculate Tension in Tight Side of Belt?

Here are the different ways to Calculate Tension in Tight Side of Belt-

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))

Can the Tension in Tight Side of Rope Drive be negative?

Yes, the Tension in Tight Side of Rope Drive, measured in Force can be negative.

Which unit is used to measure Tension in Tight Side of Rope Drive?

Tension in Tight Side of Rope Drive is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Tension in Tight Side of Rope Drive can be measured.

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Tension in Tight Side of Rope Drive Formula

​GoTension in Tight Side for Transmission of Maximum Power by Belt Formula

​GoTension in Tight Side of Belt Formula

Tension in Tight Side of Rope Drive Example

Tension in Tight Side of Rope Drive Solution

Tension in Tight Side of Rope Drive Formula Elements

Other Formulas to find Tension in Tight Side of Belt

Other formulas in Tension category

How to Evaluate Tension in Tight Side of Rope Drive?

FAQs on Tension in Tight Side of Rope Drive

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GoTension in Tight Side for Transmission of Maximum Power by Belt Formula

GoTension in Tight Side of Belt Formula