Velocity Ratio of Belt given Creep of Belt Calculator

✖The diameter of driver is a chord that runs through the center point of the circle. It is the longest possible chord of any circle.ⓘ Diameter of Driver [d_d]			+10% -10%
✖Young's Modulus of Belt is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.ⓘ Young's Modulus of Belt [E]			+10% -10%
✖Stress in slack side of belt is the force acting on the unit area of a material.ⓘ Stress in Slack Side of Belt [σ₂]			+10% -10%
✖Diameter of Follower is a chord that runs through the center point of the circle. It is the longest possible chord of any circle.ⓘ Diameter of Follower [d_f]			+10% -10%
✖Stress in tight side of belt is the force acting on the unit area of a material.ⓘ Stress in Tight Side of Belt [σ₁]			+10% -10%

✖Velocity ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time.ⓘ Velocity Ratio of Belt given Creep of Belt [i]

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Velocity Ratio of Belt given Creep of Belt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = (Diameter of Driver*(Young's Modulus of Belt+sqrt(Stress in Slack Side of Belt)))/(Diameter of Follower*(Young's Modulus of Belt+sqrt(Stress in Tight Side of Belt)))
i = (d_d*(E+sqrt(σ₂)))/(d_f*(E+sqrt(σ₁)))
This formula uses 1 Functions, 6 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 Ratio - Velocity ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time.
Diameter of Driver - (Measured in Meter) - The diameter of driver is a chord that runs through the center point of the circle. It is the longest possible chord of any circle.
Young's Modulus of Belt - (Measured in Pascal) - Young's Modulus of Belt is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.
Stress in Slack Side of Belt - (Measured in Pascal) - Stress in slack side of belt is the force acting on the unit area of a material.
Diameter of Follower - (Measured in Meter) - Diameter of Follower is a chord that runs through the center point of the circle. It is the longest possible chord of any circle.
Stress in Tight Side of Belt - (Measured in Pascal) - Stress in tight side of belt is the force acting on the unit area of a material.

STEP 1: Convert Input(s) to Base Unit

Diameter of Driver: 0.011 Meter --> 0.011 Meter No Conversion Required
Young's Modulus of Belt: 10000 Newton per Square Meter --> 10000 Pascal (Check conversion here)
Stress in Slack Side of Belt: 8 Newton per Square Meter --> 8 Pascal (Check conversion here)
Diameter of Follower: 0.014 Meter --> 0.014 Meter No Conversion Required
Stress in Tight Side of Belt: 5 Newton per Square Meter --> 5 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = (d_d*(E+sqrt(σ₂)))/(d_f*(E+sqrt(σ₁))) --> (0.011*(10000+sqrt(8)))/(0.014*(10000+sqrt(5)))

Evaluating ... ...

i = 0.785760817813818

STEP 3: Convert Result to Output's Unit

0.785760817813818 --> No Conversion Required

FINAL ANSWER

0.785760817813818 ≈ 0.785761 <-- Velocity Ratio

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Belt, Rope and Chain Drives » Mechanical » Velocity Ratio » Velocity Ratio of Belt given Creep of Belt

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Velocity Ratio Calculators

Velocity Ratio of Compound Belt Drive given Product of Diameter of Driven

LaTeX Go Velocity Ratio = Product of Diameters of Drivers/Product of Diameters of Drivens

Velocity Ratio

LaTeX Go Velocity Ratio = Number of Teeth on Driven/Number of Teeth on Driver

Velocity Ratio of Compound Belt Drive

LaTeX Go Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver

Velocity Ratio of Belt Drive

LaTeX Go Velocity Ratio = Speed of Follower/Speed of Driver

Velocity Ratio of Belt given Creep of Belt Formula

LaTeX Go

What is velocity ratio of a simple machine?

The velocity ratio of a simple machine is the ratio of the distance traveled by an effort to the distance traveled by the load in the machine.

What is a belt drive used for?

Belt drive, in machinery, a pair of pulleys attached to usually parallel shafts and connected by an encircling flexible belt (band) that can serve to transmit and modify rotary motion from one shaft to the other.

How to Calculate Velocity Ratio of Belt given Creep of Belt?

Velocity Ratio of Belt given Creep of Belt calculator uses Velocity Ratio = (Diameter of Driver*(Young's Modulus of Belt+sqrt(Stress in Slack Side of Belt)))/(Diameter of Follower*(Young's Modulus of Belt+sqrt(Stress in Tight Side of Belt))) to calculate the Velocity Ratio, Velocity Ratio of Belt given Creep of Belt formula is defined as a dimensionless quantity that expresses the ratio of the velocity of the driver pulley to the velocity of the follower pulley in a belt-driven system, taking into account the creep of the belt, which affects the overall efficiency of the system. Velocity Ratio is denoted by i symbol.

How to calculate Velocity Ratio of Belt given Creep of Belt using this online calculator? To use this online calculator for Velocity Ratio of Belt given Creep of Belt, enter Diameter of Driver (d_d), Young's Modulus of Belt (E), Stress in Slack Side of Belt (σ₂), Diameter of Follower (d_f) & Stress in Tight Side of Belt (σ₁) and hit the calculate button. Here is how the Velocity Ratio of Belt given Creep of Belt calculation can be explained with given input values -> 0.807631 = (0.011*(10000+sqrt(8)))/(0.014*(10000+sqrt(5))).

FAQ

What is Velocity Ratio of Belt given Creep of Belt?

Velocity Ratio of Belt given Creep of Belt formula is defined as a dimensionless quantity that expresses the ratio of the velocity of the driver pulley to the velocity of the follower pulley in a belt-driven system, taking into account the creep of the belt, which affects the overall efficiency of the system and is represented as i = (d_d*(E+sqrt(σ₂)))/(d_f*(E+sqrt(σ₁))) or Velocity Ratio = (Diameter of Driver*(Young's Modulus of Belt+sqrt(Stress in Slack Side of Belt)))/(Diameter of Follower*(Young's Modulus of Belt+sqrt(Stress in Tight Side of Belt))). The diameter of driver is a chord that runs through the center point of the circle. It is the longest possible chord of any circle, Young's Modulus of Belt is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression, Stress in slack side of belt is the force acting on the unit area of a material, Diameter of Follower is a chord that runs through the center point of the circle. It is the longest possible chord of any circle & Stress in tight side of belt is the force acting on the unit area of a material.

How to calculate Velocity Ratio of Belt given Creep of Belt?

Velocity Ratio of Belt given Creep of Belt formula is defined as a dimensionless quantity that expresses the ratio of the velocity of the driver pulley to the velocity of the follower pulley in a belt-driven system, taking into account the creep of the belt, which affects the overall efficiency of the system is calculated using Velocity Ratio = (Diameter of Driver*(Young's Modulus of Belt+sqrt(Stress in Slack Side of Belt)))/(Diameter of Follower*(Young's Modulus of Belt+sqrt(Stress in Tight Side of Belt))). To calculate Velocity Ratio of Belt given Creep of Belt, you need Diameter of Driver (d_d), Young's Modulus of Belt (E), Stress in Slack Side of Belt (σ₂), Diameter of Follower (d_f) & Stress in Tight Side of Belt (σ₁). With our tool, you need to enter the respective value for Diameter of Driver, Young's Modulus of Belt, Stress in Slack Side of Belt, Diameter of Follower & Stress in Tight Side of Belt and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity Ratio?

In this formula, Velocity Ratio uses Diameter of Driver, Young's Modulus of Belt, Stress in Slack Side of Belt, Diameter of Follower & Stress in Tight Side of Belt. We can use 3 other way(s) to calculate the same, which is/are as follows -

Velocity Ratio = Number of Teeth on Driven/Number of Teeth on Driver
Velocity Ratio = Speed of Follower/Speed of Driver
Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver

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