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Belt Tension in Tight Side 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 α}) \cdot (P 2 - (m \cdot {v b}^{2}))) + (m \cdot {v b}^{2})

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

Belt Tension in Tight Side Example

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

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

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

799.6205 = ((e^{0.35 \cdot 160.2}) \cdot (550 - (0.6 \cdot {25.81}^{2}))) + (0.6 \cdot {25.81}^{2})

799.6205N = ((e^{0.35 \cdot 160.2°}) \cdot (550N - (0.6kg/m \cdot {25.81m/s}^{2}))) + (0.6kg/m \cdot {25.81m/s}^{2})

799.6205 = ((e^{0.35 \cdot 160.2}) \cdot (550 - (0.6 \cdot {25.81}^{2}))) + (0.6 \cdot {25.81}^{2})

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Belt Tension in Tight Side Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P 1 = ((e^{0.35 \cdot 160.2°}) \cdot (550N - (0.6kg/m \cdot {25.81m/s}^{2}))) + (0.6kg/m \cdot {25.81m/s}^{2})

Next Step Convert Units

∴

P 1 = ((e^{0.35 \cdot 2.796rad}) \cdot (550N - (0.6kg/m \cdot {25.81m/s}^{2}))) + (0.6kg/m \cdot {25.81m/s}^{2})

Next Step Prepare to Evaluate

∴

P 1 = ((e^{0.35 \cdot 2.796}) \cdot (550 - (0.6 \cdot {25.81}^{2}))) + (0.6 \cdot {25.81}^{2})

Next Step Evaluate

∴

P 1 = 799.620483756829N

LAST Step Rounding Answer

∴

P 1 = 799.6205N

Belt Tension in Tight Side Formula Elements

Variables

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

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 Belt

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

Symbol: m

Measurement: Linear Mass DensityUnit: kg/m

Note: Value should be greater than 0.

Formulas to find Mass of Meter Length of 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

Other formulas in Introduction of Belt Drives category

Go Wrap Angle for Small Pulley

α s = 3.14 - (2 \cdot (a \sin (\frac{D - d}{2 \cdot C})))

Go Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley

C = \frac{D - d}{2 \cdot \sin (\frac{3.14 - α s}{2})}

Go Diameter of Small Pulley given Wrap Angle of Small Pulley

d = D - (2 \cdot C \cdot \sin (\frac{3.14 - α s}{2}))

Go Diameter of Big Pulley given Wrap Angle of Small Pulley

D = d + (2 \cdot C \cdot \sin (\frac{3.14 - α s}{2}))

How to Evaluate Belt Tension in Tight Side?

Belt Tension in Tight Side evaluator uses Belt Tension on Tight Side = ((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*(Belt Tension on Loose Side-(Mass of Meter Length of Belt*Belt Velocity^2)))+(Mass of Meter Length of Belt*Belt Velocity^2) to evaluate the Belt Tension on Tight Side, The Belt Tension in Tight Side formula is defined as the measure of 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 using this online evaluator? To use this online evaluator for Belt Tension in Tight Side, enter Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), Belt Tension on Loose Side (P₂), Mass of Meter Length of Belt (m) & Belt Velocity (v_b) and hit the calculate button.

FAQs on Belt Tension in Tight Side

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

The formula of Belt Tension in Tight Side is expressed as Belt Tension on Tight Side = ((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*(Belt Tension on Loose Side-(Mass of Meter Length of Belt*Belt Velocity^2)))+(Mass of Meter Length of Belt*Belt Velocity^2). Here is an example- 799.6205 = ((e^(0.35*2.79601746169439))*(550-(0.6*25.81^2)))+(0.6*25.81^2).

How to calculate Belt Tension in Tight Side?

With Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), Belt Tension on Loose Side (P₂), Mass of Meter Length of Belt (m) & Belt Velocity (v_b) we can find Belt Tension in Tight Side using the formula - Belt Tension on Tight Side = ((e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley))*(Belt Tension on Loose Side-(Mass of Meter Length of Belt*Belt Velocity^2)))+(Mass of Meter Length of Belt*Belt Velocity^2).

Can the Belt Tension in Tight Side be negative?

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

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

Belt Tension in Tight Side 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 can be measured.

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Belt Tension in Tight Side Formula

Belt Tension in Tight Side Example

Belt Tension in Tight Side Solution

Belt Tension in Tight Side Formula Elements

Other formulas in Introduction of Belt Drives category

How to Evaluate Belt Tension in Tight Side?

FAQs on Belt Tension in Tight Side

Variable Name