Velocity for Transmission of Maximum Power by Belt Calculator

✖Maximum tension of belt is determined by measuring the force to deflect the belt at a given distance per inch of the pulley.ⓘ Maximum Tension of Belt [P_max]			+10% -10%
✖Mass of belt per unit length determines the strength of its gravitational attraction to other bodies.ⓘ Mass of Belt per Unit Length [m]			+10% -10%

✖Velocity of belt is the rate of change of its position with respect to a frame of reference.ⓘ Velocity for Transmission of Maximum Power by Belt [v]

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Formula

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Velocity for Transmission of Maximum Power by Belt

Formula

`"v" = sqrt("P"_{"max"}/(3*"m"))`

Example

`"3.450328m/s"=sqrt("750N"/(3*"21kg"))`

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Velocity for Transmission of Maximum Power by Belt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length))
v = sqrt(P_max/(3*m))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity of Belt - (Measured in Meter per Second) - Velocity of belt is the rate of change of its position with respect to a frame of reference.
Maximum Tension of Belt - (Measured in Newton) - Maximum tension of belt is determined by measuring the force to deflect the belt at a given distance per inch of the pulley.
Mass of Belt per Unit Length - (Measured in Kilogram) - Mass of belt per unit length determines the strength of its gravitational attraction to other bodies.

STEP 1: Convert Input(s) to Base Unit

Maximum Tension of Belt: 750 Newton --> 750 Newton No Conversion Required
Mass of Belt per Unit Length: 21 Kilogram --> 21 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = sqrt(P_max/(3*m)) --> sqrt(750/(3*21))

Evaluating ... ...

v = 3.45032779671177

STEP 3: Convert Result to Output's Unit

3.45032779671177 Meter per Second --> No Conversion Required

FINAL ANSWER

3.45032779671177 ≈ 3.450328 Meter per Second <-- Velocity of Belt

(Calculation completed in 00.008 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

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< 20 Belt Drive Calculators

Length of Open Belt Drive

Go Total Length of Belt = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+((Radii of Larger Pulley-Radii of Smaller Pulley)^2)/Distance Between Centers of Two Pulleys

Cross Belt Drive Length

Go Length Belt Drive = pi*(Radii of Smaller Pulley+Radii of Larger Pulley)+2*Distance Between Centers of Two Pulleys+(Radii of Smaller Pulley+Radii of Larger Pulley)^2/Distance Between Centers of Two Pulleys

Frictional Force in V Belt Drive

Go Force of Friction = Coefficient of Friction b/w Belt & Sides of Groove*Total Reaction in Plane of Groove*cosec(Angle of Groove/2)

Relation between Pitch and Pitch Circle Diameter of Chain Drive

Go Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)

Angle Made by Belt with Vertical Axis for Cross Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Smaller Pulley+Radii of Larger Pulley)/Distance Between Centers of Two Pulleys

Angle Made by Belt with Vertical Axis for Open Belt Drive

Go Angle made by Belt with Vertical Axis = (Radii of Larger Pulley-Radii of Smaller Pulley)/Distance Between Centers of Two Pulleys

Initial Tension in Belt

Go Initial Tension of Belt = (Tension in Tight Side of Belt+Tension in Slack Side of Belt+2*Centrifugal Tension of Belt)/2

Normal Reaction between Belt and Sides of Groove

Go Normal Reaction between Belt and Sides of Groove = Total Reaction in Plane of Groove/(2*sin(Angle of Groove/2))

Torque Exerted on Driven Pulley

Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Follower/2

Torque Exerted on Driving Pulley

Go Torque Exerted on Pulley = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Diameter of Driver/2

Power Transmitted by Belt

Go Power Transmitted = (Tension in Tight Side of Belt-Tension in Slack Side of Belt)*Velocity of Belt

Velocity for Transmission of Maximum Power by Belt

Go Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length))

Length of Belt that Passes over Follower

Go Length of Belt over Follower = pi*Speed of Follower*Diameter of Follower Pulley

Length of Belt that Passes over Driver

Go Length of Belt over Driver = pi*Diameter of Driver Pulley*Speed of Driver

Maximum Tension of Belt

Go Maximum Tension of Belt = Maximum Safe Stress*Belt Width*Belt Thickness

Total Percentage Slip in Belt

Go Total Percentage of Slip = Slip between Driver and Belt+Slip between Belt and Follower

Centrifugal Tension in Belt

Go Centrifugal Tension of Belt = Mass of Belt per Unit Length*Velocity of Belt

Angle of Contact for Cross Belt Drive

Go Angle of Contact = 180*pi/180+2*Angle made by Belt with Vertical Axis

Angle of Contact for Open Belt Drive

Go Angle of Contact = 180*pi/180-2*Angle made by Belt with Vertical Axis

Maximum Tension for Transmission of Maximum Power by Belt

Go Maximum Tension of Belt = 3*Centrifugal Tension of Belt

Velocity for Transmission of Maximum Power by Belt Formula

Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length))
v = sqrt(P_max/(3*m))

Why are tension belts important?

Proper belt tension is a critical step when installing a belt. Too little tension results in slippage, excess heat, and premature belt & pulley wear. Too much tension results in excessive stress on belts, bearings, and shafts. However, there is still a wide range of tension which a belt will operate satisfactorily.

How to Calculate Velocity for Transmission of Maximum Power by Belt?

Velocity for Transmission of Maximum Power by Belt calculator uses Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length)) to calculate the Velocity of Belt, Velocity for transmission of maximum power by belt is the rate of change of its position with respect to a frame of reference. Velocity of Belt is denoted by v symbol.

How to calculate Velocity for Transmission of Maximum Power by Belt using this online calculator? To use this online calculator for Velocity for Transmission of Maximum Power by Belt, enter Maximum Tension of Belt (P_max) & Mass of Belt per Unit Length (m) and hit the calculate button. Here is how the Velocity for Transmission of Maximum Power by Belt calculation can be explained with given input values -> 3.450328 = sqrt(750/(3*21)).

FAQ

What is Velocity for Transmission of Maximum Power by Belt?

Velocity for transmission of maximum power by belt is the rate of change of its position with respect to a frame of reference and is represented as v = sqrt(P_max/(3*m)) or Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length)). Maximum tension of belt is determined by measuring the force to deflect the belt at a given distance per inch of the pulley & Mass of belt per unit length determines the strength of its gravitational attraction to other bodies.

How to calculate Velocity for Transmission of Maximum Power by Belt?

Velocity for transmission of maximum power by belt is the rate of change of its position with respect to a frame of reference is calculated using Velocity of Belt = sqrt(Maximum Tension of Belt/(3*Mass of Belt per Unit Length)). To calculate Velocity for Transmission of Maximum Power by Belt, you need Maximum Tension of Belt (P_max) & Mass of Belt per Unit Length (m). With our tool, you need to enter the respective value for Maximum Tension of Belt & Mass of Belt per Unit Length 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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