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_driver]			+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%
✖The 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_follower]			+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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Formula

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Velocity Ratio of Belt given Creep of Belt

Formula

`"i" = ("d"_{"driver"}*("E"+sqrt("σ"_{"2"})))/("d"_{"follower"}*("E"+sqrt("σ"_{"1"})))`

Example

`"0.807631"=("0.011m"*("19N/m²"+sqrt("8N/m²")))/("0.014m"*("19N/m²"+sqrt("5N/m²")))`

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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_driver*(E+sqrt(σ₂)))/(d_follower*(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) - The 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: 19 Newton per Square Meter --> 19 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_driver*(E+sqrt(σ₂)))/(d_follower*(E+sqrt(σ₁))) --> (0.011*(19+sqrt(8)))/(0.014*(19+sqrt(5)))

Evaluating ... ...

i = 0.80763100988178

STEP 3: Convert Result to Output's Unit

0.80763100988178 --> No Conversion Required

FINAL ANSWER

0.80763100988178 ≈ 0.807631 <-- Velocity Ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Belt, Rope and Chain Drives » 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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< 10+ Velocity Ratio Calculators

Velocity Ratio of Belt given Creep of Belt

Go 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)))

Velocity Ratio of Belt given Total Percentage Slip

Go Velocity Ratio = (Diameter of Driver+Belt Thickness)*(1-0.01*Total Percentage of Slip)/(Diameter of Follower+Belt Thickness)

Velocity Ratio of Simple Belt Drive when Thickness Considered

Go Velocity Ratio = (Diameter of Driver+Belt Thickness)/(Diameter of Follower+Belt Thickness)

Peripheral Velocity of Follower Pulley

Go Peripheral Velocity of Pulley = pi*Diameter of Follower*Speed of Follower

Peripheral Velocity of Driving Pulley

Go Peripheral Velocity of Pulley = pi*Diameter of Driver*Speed of Driver

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

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

Velocity Ratio of Compound Belt Drive

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

Velocity Ratio

Go Velocity Ratio = No. of Teeth on Driven/No. of Teeth on Driver

Velocity Ratio of Simple Belt Drive when Thickness Not Considered

Go Velocity Ratio = Diameter of Driver/Diameter of Follower

Velocity Ratio of Belt Drive

Go Velocity Ratio = Speed of Follower/Speed of Driver

Velocity Ratio of Belt given Creep of Belt Formula

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 is calculated by dividing the distance moved by the effort by the distance moved by the load. 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_driver), Young's Modulus of Belt (E), Stress in Slack Side of Belt (σ₂), Diameter of Follower (d_follower) & 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*(19+sqrt(8)))/(0.014*(19+sqrt(5))).

FAQ

What is Velocity Ratio of Belt given Creep of Belt?

Velocity Ratio of Belt given Creep of Belt is calculated by dividing the distance moved by the effort by the distance moved by the load and is represented as i = (d_driver*(E+sqrt(σ₂)))/(d_follower*(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, The 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 is calculated by dividing the distance moved by the effort by the distance moved by the load 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_driver), Young's Modulus of Belt (E), Stress in Slack Side of Belt (σ₂), Diameter of Follower (d_follower) & 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 7 other way(s) to calculate the same, which is/are as follows -

Velocity Ratio = No. of Teeth on Driven/No. of Teeth on Driver
Velocity Ratio = Speed of Follower/Speed of Driver
Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver
Velocity Ratio = Product of Diameters of Drivers/Product of Diameters of Drivens
Velocity Ratio = (Diameter of Driver+Belt Thickness)/(Diameter of Follower+Belt Thickness)
Velocity Ratio = Diameter of Driver/Diameter of Follower
Velocity Ratio = (Diameter of Driver+Belt Thickness)*(1-0.01*Total Percentage of Slip)/(Diameter of Follower+Belt Thickness)

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