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Coefficient of Friction in between Surfaces given Belt Tension in Tight Side 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 = \frac{\ln (\frac{P 1 - m \cdot {v b}^{2}}{P 2 - m \cdot {v b}^{2}})}{α}

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

Coefficient of Friction in between Surfaces given Belt Tension in Tight Side Example

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Here is how the Coefficient of Friction in between Surfaces given Belt Tension in Tight Side equation looks like with Values.

Here is how the Coefficient of Friction in between Surfaces given Belt Tension in Tight Side equation looks like with Units.

Here is how the Coefficient of Friction in between Surfaces given Belt Tension in Tight Side equation looks like.

0.3503 = \frac{\ln (\frac{800 - 0.6 \cdot {25.81}^{2}}{550 - 0.6 \cdot {25.81}^{2}})}{160.2}

0.3503 = \frac{\ln (\frac{800N - 0.6kg/m \cdot {25.81m/s}^{2}}{550N - 0.6kg/m \cdot {25.81m/s}^{2}})}{160.2°}

0.3503 = \frac{\ln (\frac{800 - 0.6 \cdot {25.81}^{2}}{550 - 0.6 \cdot {25.81}^{2}})}{160.2}

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Coefficient of Friction in between Surfaces given Belt Tension in Tight Side Solution

Follow our step by step solution on how to calculate Coefficient of Friction in between Surfaces given Belt Tension in Tight Side?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \frac{\ln (\frac{800N - 0.6kg/m \cdot {25.81m/s}^{2}}{550N - 0.6kg/m \cdot {25.81m/s}^{2}})}{160.2°}

Next Step Convert Units

∴

μ = \frac{\ln (\frac{800N - 0.6kg/m \cdot {25.81m/s}^{2}}{550N - 0.6kg/m \cdot {25.81m/s}^{2}})}{2.796rad}

Next Step Prepare to Evaluate

∴

μ = \frac{\ln (\frac{800 - 0.6 \cdot {25.81}^{2}}{550 - 0.6 \cdot {25.81}^{2}})}{2.796}

Next Step Evaluate

∴

μ = 0.350339237591728

LAST Step Rounding Answer

∴

μ = 0.3503

Coefficient of Friction in between Surfaces given Belt Tension in Tight Side 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

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