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Belt Tension in Tight Side of V-Belt Formula

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Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side. Check FAQs

P 1 = (e^{μ} \cdot \frac{α}{\sin (\frac{θ}{2})}) \cdot (P 2 - m v \cdot {v b}^{2}) + m v \cdot {v b}^{2}

P₁ - Belt Tension on Tight Side?μ - Coefficient of Friction for Belt Drive?α - Wrap Angle on Pulley?θ - V belt angle?P₂ - Belt Tension on Loose Side?m_v - Mass of Meter Length of V Belt?v_b - Belt Velocity?

Belt Tension in Tight Side of V-Belt Example

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Here is how the Belt Tension in Tight Side of V-Belt equation looks like with Values.

Here is how the Belt Tension in Tight Side of V-Belt equation looks like with Units.

Here is how the Belt Tension in Tight Side of V-Belt equation looks like.

843.0982 = (e^{0.35} \cdot \frac{160.2}{\sin (\frac{62}{2})}) \cdot (550 - 0.76 \cdot {25.81}^{2}) + 0.76 \cdot {25.81}^{2}

843.0982N = (e^{0.35} \cdot \frac{160.2°}{\sin (\frac{62°}{2})}) \cdot (550N - 0.76kg/m \cdot {25.81m/s}^{2}) + 0.76kg/m \cdot {25.81m/s}^{2}

843.0982 = (e^{0.35} \cdot \frac{160.2}{\sin (\frac{62}{2})}) \cdot (550 - 0.76 \cdot {25.81}^{2}) + 0.76 \cdot {25.81}^{2}

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Belt Tension in Tight Side of V-Belt Solution

Follow our step by step solution on how to calculate Belt Tension in Tight Side of V-Belt?

FIRST Step Consider the formula

P 1 = (e^{μ} \cdot \frac{α}{\sin (\frac{θ}{2})}) \cdot (P 2 - m v \cdot {v b}^{2}) + m v \cdot {v b}^{2}

Next Step Substitute values of Variables

∴

P 1 = (e^{0.35} \cdot \frac{160.2°}{\sin (\frac{62°}{2})}) \cdot (550N - 0.76kg/m \cdot {25.81m/s}^{2}) + 0.76kg/m \cdot {25.81m/s}^{2}

Next Step Convert Units

∴

P 1 = (e^{0.35} \cdot \frac{2.796rad}{\sin (\frac{1.0821rad}{2})}) \cdot (550N - 0.76kg/m \cdot {25.81m/s}^{2}) + 0.76kg/m \cdot {25.81m/s}^{2}

Next Step Prepare to Evaluate

∴

P 1 = (e^{0.35} \cdot \frac{2.796}{\sin (\frac{1.0821}{2})}) \cdot (550 - 0.76 \cdot {25.81}^{2}) + 0.76 \cdot {25.81}^{2}

Next Step Evaluate

∴

P 1 = 843.098203897395N

LAST Step Rounding Answer

∴

P 1 = 843.0982N

Belt Tension in Tight Side of V-Belt Formula Elements

Variables

Functions

Belt Tension on Tight Side

Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side.

Symbol: P₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Belt Tension on Tight Side

Coefficient of Friction for Belt Drive

Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction for Belt Drive

Wrap Angle on Pulley

Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Wrap Angle on Pulley

V belt angle

V Belt Angle is defined as the angle included between the side faces of the V cross-section belt.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find V belt angle

Belt Tension on Loose Side

Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side.

Symbol: P₂

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Belt Tension on Loose Side

Mass of Meter Length of V Belt

Mass of Meter Length of V Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.

Symbol: m_v

Measurement: Linear Mass DensityUnit: kg/m

Note: Value should be greater than 0.

Formulas to find Mass of Meter Length of V Belt

Belt Velocity

Belt Velocity is defined as the velocity of the belt used in a belt drive.

Symbol: v_b

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Belt Velocity

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in V Belt Characteristics and Parameters category

Go Belt Tension in Loose Side of V-Belt

P 2 = \frac{P 1 - m v \cdot {v b}^{2}}{e^{μ} \cdot \frac{α}{\sin (\frac{θ}{2})}} + m v \cdot {v b}^{2}

Go Belt Velocity of V-Belt given Belt Tension in Loose Side

v b = \sqrt{\frac{P 1 - (e^{μ \cdot \frac{α}{\sin (\frac{θ}{2})}}) \cdot P 2}{m v \cdot (1 - (e^{μ \cdot \frac{α}{\sin (\frac{θ}{2})}}))}}

How to Evaluate Belt Tension in Tight Side of V-Belt?

Belt Tension in Tight Side of V-Belt evaluator uses Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2 to evaluate the Belt Tension on Tight Side, The Belt tension in Tight Side of V-Belt formula is defined as the force acting on the tighter side of the belt. Belt Tension on Tight Side is denoted by P₁ symbol.

How to evaluate Belt Tension in Tight Side of V-Belt using this online evaluator? To use this online evaluator for Belt Tension in Tight Side of V-Belt, enter Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), V belt angle (θ), Belt Tension on Loose Side (P₂), Mass of Meter Length of V Belt (m_v) & Belt Velocity (v_b) and hit the calculate button.

FAQs on Belt Tension in Tight Side of V-Belt

What is the formula to find Belt Tension in Tight Side of V-Belt?

The formula of Belt Tension in Tight Side of V-Belt is expressed as Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2. Here is an example- 843.0982 = (e^0.35*2.79601746169439/sin(1.08210413623628/2))*(550-0.76*25.81^2)+0.76*25.81^2.

How to calculate Belt Tension in Tight Side of V-Belt?

With Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), V belt angle (θ), Belt Tension on Loose Side (P₂), Mass of Meter Length of V Belt (m_v) & Belt Velocity (v_b) we can find Belt Tension in Tight Side of V-Belt using the formula - Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2. This formula also uses Sine (sin) function(s).

Can the Belt Tension in Tight Side of V-Belt be negative?

No, the Belt Tension in Tight Side of V-Belt, measured in Force cannot be negative.

Which unit is used to measure Belt Tension in Tight Side of V-Belt?

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

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Belt Tension in Tight Side of V-Belt Formula

Belt Tension in Tight Side of V-Belt Example

Belt Tension in Tight Side of V-Belt Solution

Belt Tension in Tight Side of V-Belt Formula Elements

Other formulas in V Belt Characteristics and Parameters category

How to Evaluate Belt Tension in Tight Side of V-Belt?

FAQs on Belt Tension in Tight Side of V-Belt

Variable Name