Number of V Belts Required for Given Applications Calculator

✖Power transmitted by belt is the amount of power that is transmitted from the belt of a belt drive to the pulley.ⓘ Power transmitted by belt [P_t]			+10% -10%
✖Correction Factor for Industrial Service is the correction factor that is used for industrial purpose.ⓘ Correction Factor for Industrial Service [F_ar]			+10% -10%
✖Correction Factor for Belt Length is the factor of correction for the belt length.ⓘ Correction Factor for Belt Length [F_cr]			+10% -10%
✖Correction Factor for Arc of Contact is the factor of correction for the arc of contact.ⓘ Correction Factor for Arc of Contact [F_dr]			+10% -10%
✖Power Rating of Single V-Belt is the power rating given to the single V-Belt.ⓘ Power Rating of Single V-Belt [P_r]			+10% -10%

✖Number of Belts is the number of belts that are required for a given application.ⓘ Number of V Belts Required for Given Applications [N]

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Formula

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Number of V Belts Required for Given Applications

Formula

`"N" = "P"_{"t"}*("F"_{"a"}"r")/(("F"_{"c"}"r")*("F"_{"d"}"r")*"P"_{"r"})`

Example

`"2.000837"="6.45kW"*"1.3"/("1.08"*"0.94"*"4.128kW")`

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Number of V Belts Required for Given Applications Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
N = P_t*F_ar/(F_cr*F_dr*P_r)
This formula uses 6 Variables

Variables Used

Number of Belts - Number of Belts is the number of belts that are required for a given application.
Power transmitted by belt - (Measured in Watt) - Power transmitted by belt is the amount of power that is transmitted from the belt of a belt drive to the pulley.
Correction Factor for Industrial Service - Correction Factor for Industrial Service is the correction factor that is used for industrial purpose.
Correction Factor for Belt Length - Correction Factor for Belt Length is the factor of correction for the belt length.
Correction Factor for Arc of Contact - Correction Factor for Arc of Contact is the factor of correction for the arc of contact.
Power Rating of Single V-Belt - (Measured in Watt) - Power Rating of Single V-Belt is the power rating given to the single V-Belt.

STEP 1: Convert Input(s) to Base Unit

Power transmitted by belt: 6.45 Kilowatt --> 6450 Watt (Check conversion here)
Correction Factor for Industrial Service: 1.3 --> No Conversion Required
Correction Factor for Belt Length: 1.08 --> No Conversion Required
Correction Factor for Arc of Contact: 0.94 --> No Conversion Required
Power Rating of Single V-Belt: 4.128 Kilowatt --> 4128 Watt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = P_t*F_ar/(F_cr*F_dr*P_r) --> 6450*1.3/(1.08*0.94*4128)

Evaluating ... ...

N = 2.00083727344366

STEP 3: Convert Result to Output's Unit

2.00083727344366 --> No Conversion Required

FINAL ANSWER

2.00083727344366 ≈ 2.000837 <-- Number of Belts

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » V-Belt Drives » V-Belt Characteristics and Parameters » Number of V Belts Required for Given Applications

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Osmania University (OU), Hyderabad

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< 11 V-Belt Characteristics and Parameters Calculators

Belt Velocity of V-Belt given Belt Tension in Loose Side

Go Belt Velocity = sqrt((Belt Tension on Tight Side-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2)))*Belt Tension on Loose Side)/(Mass of Meter Length of V Belt*(1-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))))))

Mass of One Meter Length of V-Belt given Belt Tension in Loose Side

Go Mass of Meter Length of V Belt = (Belt Tension on Tight Side-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2)))*Belt Tension on Loose Side)/(Belt Velocity^2*(1-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2)))))

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

Go Coefficient of Friction for Belt Drive = sin(V belt angle/2)*ln((Belt Tension on Tight Side-Mass of Meter Length of V Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2))/Wrap Angle on Pulley

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

Go Wrap Angle on Pulley = sin(V belt angle/2)*ln((Belt Tension on Tight Side-Mass of Meter Length of V Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2))/Coefficient of Friction for Belt Drive

Belt Tension in Loose Side of V-Belt

Go 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

Belt Tension in Tight Side of V-Belt

Go Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2

Correction Factor for Industrial Services given Number of Belts Required

Go Correction Factor for Industrial Service = Number of Belts*(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Power Rating of Single V-Belt)/Power transmitted by belt

Correction Factor for Arc of Contact given Number of Belts Required

Go Correction Factor for Arc of Contact = Power transmitted by belt*Correction Factor for Industrial Service/(Correction Factor for Belt Length*Number of Belts*Power Rating of Single V-Belt)

Correcting Factor for Belt Length given Number of Belts Required

Go Correction Factor for Belt Length = Power transmitted by belt*Correction Factor for Industrial Service/(Number of Belts*Correction Factor for Arc of Contact*Power Rating of Single V-Belt)

Number of V Belts Required for Given Applications

Go 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)

Effective Pull in V-Belt

Go Effective Pull in V Belt = Belt Tension on Tight Side-Belt Tension on Loose Side

Number of V Belts Required for Given Applications Formula

Define Belt?

A belt is a loop of flexible material used to link two or more rotating shafts mechanically, most often parallel. Belts may be used as a source of motion, to transmit power efficiently or to track relative movement.

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

Number of V Belts Required for Given Applications calculator 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 calculate the Number of Belts, Number of V Belts Required for Given Applications formula is defined as the number of belts that are required for a given application. Number of Belts is denoted by N symbol.

How to calculate Number of V Belts Required for Given Applications using this online calculator? To use this online calculator 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. Here is how the Number of V Belts Required for Given Applications calculation can be explained with given input values -> 2.000837 = 6450*1.3/(1.08*0.94*4128).

FAQ

What is Number of V Belts Required for Given Applications?

Number of V Belts Required for Given Applications formula is defined as the number of belts that are required for a given application and is represented as N = P_t*F_ar/(F_cr*F_dr*P_r) or 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). Power transmitted by belt is the amount of power that is transmitted from the belt of a belt drive to the pulley, Correction Factor for Industrial Service is the correction factor that is used for industrial purpose, Correction Factor for Belt Length is the factor of correction for the belt length, Correction Factor for Arc of Contact is the factor of correction for the arc of contact & Power Rating of Single V-Belt is the power rating given to the single V-Belt.

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

Number of V Belts Required for Given Applications formula is defined as the number of belts that are required for a given application is calculated using 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 calculate Number of V Belts Required for Given Applications, you need 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). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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