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Number of V Belts Required for Given Applications Formula

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Number of Belts is the number of belts that are required for a given application. Check FAQs

N = P t \cdot \frac{F a r}{F c r \cdot F d r \cdot P r}

N - Number of Belts?P_t - Power Transmitted by Belt?F_ar - Correction Factor for Industrial Service?F_cr - Correction Factor for Belt Length?F_dr - Correction Factor for Arc of Contact?P_r - Power Rating of Single V-Belt?

Number of V Belts Required for Given Applications Example

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Here is how the Number of V Belts Required for Given Applications equation looks like with Values.

Here is how the Number of V Belts Required for Given Applications equation looks like with Units.

Here is how the Number of V Belts Required for Given Applications equation looks like.

2.0008 = 6.45 \cdot \frac{1.3}{1.08 \cdot 0.94 \cdot 4.128}

2.0008 = 6.45kW \cdot \frac{1.3}{1.08 \cdot 0.94 \cdot 4.128kW}

2.0008 = 6.45 \cdot \frac{1.3}{1.08 \cdot 0.94 \cdot 4.128}

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Number of V Belts Required for Given Applications Solution

Follow our step by step solution on how to calculate Number of V Belts Required for Given Applications?

FIRST Step Consider the formula

N = P t \cdot \frac{F a r}{F c r \cdot F d r \cdot P r}

Next Step Substitute values of Variables

∴

N = 6.45kW \cdot \frac{1.3}{1.08 \cdot 0.94 \cdot 4.128kW}

Next Step Convert Units

∴

N = 6450W \cdot \frac{1.3}{1.08 \cdot 0.94 \cdot 4128W}

Next Step Prepare to Evaluate

∴

N = 6450 \cdot \frac{1.3}{1.08 \cdot 0.94 \cdot 4128}

Next Step Evaluate

∴

N = 2.00083727344366

LAST Step Rounding Answer

∴

N = 2.0008

Number of V Belts Required for Given Applications Formula Elements

Variables

Number of Belts

Number of Belts is the number of belts that are required for a given application.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Belts

Power Transmitted by Belt

Power Transmitted by Belt is the amount of power that is transmitted from the belt of a belt drive to the pulley.

Symbol: P_t

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Transmitted by Belt

Correction Factor for Industrial Service

Correction Factor for Industrial Service is the correction factor that is used for industrial purpose.

Symbol: F_ar

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Correction Factor for Industrial Service

Correction Factor for Belt Length

Correction Factor for Belt Length is the factor of correction for the belt length.

Symbol: F_cr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Correction Factor for Belt Length

Correction Factor for Arc of Contact

Correction Factor for Arc of Contact is the factor of correction for the arc of contact.

Symbol: F_dr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Correction Factor for Arc of Contact

Power Rating of Single V-Belt

Power Rating of Single V-Belt is the power rating given to the single V-Belt.

Symbol: P_r

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Rating of Single V-Belt

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 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})}}))}}

Go Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt

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

How to Evaluate Number of V Belts Required for Given Applications?

Number of V Belts Required for Given Applications evaluator uses Number of Belts = Power Transmitted by Belt*Correction Factor for Industrial Service/(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Power Rating of Single V-Belt) to evaluate the Number of Belts, The Number of V Belts Required for Given Applications formula is defined as a method to determine the quantity of V belts necessary for specific mechanical applications, ensuring efficient power transmission and optimal performance in belt drive systems. Number of Belts is denoted by N symbol.

How to evaluate Number of V Belts Required for Given Applications using this online evaluator? To use this online evaluator for Number of V Belts Required for Given Applications, enter Power Transmitted by Belt (P_t), Correction Factor for Industrial Service (F_ar), Correction Factor for Belt Length (F_cr), Correction Factor for Arc of Contact (F_dr) & Power Rating of Single V-Belt (P_r) and hit the calculate button.

FAQs on Number of V Belts Required for Given Applications

What is the formula to find Number of V Belts Required for Given Applications?

The formula of Number of V Belts Required for Given Applications is expressed as Number of Belts = Power Transmitted by Belt*Correction Factor for Industrial Service/(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Power Rating of Single V-Belt). Here is an example- 2.000837 = 6450*1.3/(1.08*0.94*4128).

How to calculate Number of V Belts Required for Given Applications?

With Power Transmitted by Belt (P_t), Correction Factor for Industrial Service (F_ar), Correction Factor for Belt Length (F_cr), Correction Factor for Arc of Contact (F_dr) & Power Rating of Single V-Belt (P_r) we can find Number of V Belts Required for Given Applications using the formula - Number of Belts = Power Transmitted by Belt*Correction Factor for Industrial Service/(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Power Rating of Single V-Belt).

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Number of V Belts Required for Given Applications Formula

Number of V Belts Required for Given Applications Example

Number of V Belts Required for Given Applications Solution

Number of V Belts Required for Given Applications Formula Elements

Other formulas in V Belt Characteristics and Parameters category

How to Evaluate Number of V Belts Required for Given Applications?

FAQs on Number of V Belts Required for Given Applications

Variable Name