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Belt Tension in Loose Side of V-Belt Formula

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

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}

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

Belt Tension in Loose Side of V-Belt Example

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

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

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

544.4056 = \frac{800 - 0.76 \cdot {25.81}^{2}}{e^{0.35} \cdot \frac{160.2}{\sin (\frac{62}{2})}} + 0.76 \cdot {25.81}^{2}

544.4056N = \frac{800N - 0.76kg/m \cdot {25.81m/s}^{2}}{e^{0.35} \cdot \frac{160.2°}{\sin (\frac{62°}{2})}} + 0.76kg/m \cdot {25.81m/s}^{2}

544.4056 = \frac{800 - 0.76 \cdot {25.81}^{2}}{e^{0.35} \cdot \frac{160.2}{\sin (\frac{62}{2})}} + 0.76 \cdot {25.81}^{2}

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Home » Engineering » Mechanical » Machine Design » Belt Tension in Loose Side of V-Belt

Belt Tension in Loose Side of V-Belt Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

P 2 = \frac{800N - 0.76kg/m \cdot {25.81m/s}^{2}}{e^{0.35} \cdot \frac{160.2°}{\sin (\frac{62°}{2})}} + 0.76kg/m \cdot {25.81m/s}^{2}

Next Step Convert Units

∴

P 2 = \frac{800N - 0.76kg/m \cdot {25.81m/s}^{2}}{e^{0.35} \cdot \frac{2.796rad}{\sin (\frac{1.0821rad}{2})}} + 0.76kg/m \cdot {25.81m/s}^{2}

Next Step Prepare to Evaluate

∴

P 2 = \frac{800 - 0.76 \cdot {25.81}^{2}}{e^{0.35} \cdot \frac{2.796}{\sin (\frac{1.0821}{2})}} + 0.76 \cdot {25.81}^{2}

Next Step Evaluate

∴

P 2 = 544.405573666319N

LAST Step Rounding Answer

∴

P 2 = 544.4056N

Belt Tension in Loose Side of V-Belt Formula Elements

Variables

Functions

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.

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.

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.

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.

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.

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.

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.

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)

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Formula and 1000+ more formulas!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

Other formulas in V Belt Characteristics and Parameters category

Go Belt Tension in Tight Side of V-Belt

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}

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 Loose Side of V-Belt?

Belt Tension in Loose Side of V-Belt evaluator uses Belt Tension on Loose Side = (Belt Tension on Tight Side-Mass of Meter Length of V Belt*Belt Velocity^2)/(e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))+Mass of Meter Length of V Belt*Belt Velocity^2 to evaluate the Belt Tension on Loose Side, The Belt tension in Loose Side of V-Belt formula is defined as the force acting on the loose side of the belt. Belt Tension on Loose Side is denoted by P₂ symbol.

How to evaluate Belt Tension in Loose Side of V-Belt using this online evaluator? To use this online evaluator for Belt Tension in Loose Side of V-Belt, enter Belt Tension on Tight Side (P₁), Mass of Meter Length of V Belt (m_v), Belt Velocity (v_b), Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α) & V belt angle (θ) and hit the calculate button.

FAQs on Belt Tension in Loose Side of V-Belt

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

The formula of Belt Tension in Loose Side of V-Belt is expressed as Belt Tension on Loose Side = (Belt Tension on Tight Side-Mass of Meter Length of V Belt*Belt Velocity^2)/(e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))+Mass of Meter Length of V Belt*Belt Velocity^2. Here is an example- 544.4056 = (800-0.76*25.81^2)/(e^0.35*2.79601746169439/sin(1.08210413623628/2))+0.76*25.81^2.

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

With Belt Tension on Tight Side (P₁), Mass of Meter Length of V Belt (m_v), Belt Velocity (v_b), Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α) & V belt angle (θ) we can find Belt Tension in Loose Side of V-Belt using the formula - Belt Tension on Loose Side = (Belt Tension on Tight Side-Mass of Meter Length of V Belt*Belt Velocity^2)/(e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))+Mass of Meter Length of V Belt*Belt Velocity^2. This formula also uses Sine (sin) function(s).

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

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

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

Belt Tension in Loose 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 Loose Side of V-Belt can be measured.

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Belt Tension in Loose Side of V-Belt Formula

Belt Tension in Loose Side of V-Belt Example

Belt Tension in Loose Side of V-Belt Solution

Belt Tension in Loose Side of V-Belt Formula Elements

Credits

Other formulas in V Belt Characteristics and Parameters category

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

FAQs on Belt Tension in Loose Side of V-Belt

Variable Name