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Coefficient of Friction in V-Belt given Belt Tension in Loose Side of Belt Formula

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

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

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

Coefficient of Friction in V-Belt given Belt Tension in Loose Side of Belt Example

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

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

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

0.3509 = \sin (\frac{62}{2}) \cdot \frac{\ln (\frac{800 - 0.76 \cdot {25.81}^{2}}{550 - 0.76 \cdot {25.81}^{2}})}{160.2}

0.3509 = \sin (\frac{62°}{2}) \cdot \frac{\ln (\frac{800N - 0.76kg/m \cdot {25.81m/s}^{2}}{550N - 0.76kg/m \cdot {25.81m/s}^{2}})}{160.2°}

0.3509 = \sin (\frac{62}{2}) \cdot \frac{\ln (\frac{800 - 0.76 \cdot {25.81}^{2}}{550 - 0.76 \cdot {25.81}^{2}})}{160.2}

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Coefficient of Friction in V-Belt given Belt Tension in Loose Side of Belt Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \sin (\frac{62°}{2}) \cdot \frac{\ln (\frac{800N - 0.76kg/m \cdot {25.81m/s}^{2}}{550N - 0.76kg/m \cdot {25.81m/s}^{2}})}{160.2°}

Next Step Convert Units

∴

μ = \sin (\frac{1.0821rad}{2}) \cdot \frac{\ln (\frac{800N - 0.76kg/m \cdot {25.81m/s}^{2}}{550N - 0.76kg/m \cdot {25.81m/s}^{2}})}{2.796rad}

Next Step Prepare to Evaluate

∴

μ = \sin (\frac{1.0821}{2}) \cdot \frac{\ln (\frac{800 - 0.76 \cdot {25.81}^{2}}{550 - 0.76 \cdot {25.81}^{2}})}{2.796}

Next Step Evaluate

∴

μ = 0.350871128882664

LAST Step Rounding Answer

∴

μ = 0.3509

Coefficient of Friction in V-Belt given Belt Tension in Loose Side of Belt Formula Elements

Variables

Functions

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

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: °