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Velocity Ratio of Belt given Creep of Belt Formula

GoVelocity Ratio Formula

GoVelocity Ratio of Belt Drive Formula

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Velocity ratio is the distance through which any part of a machine moves to that which the driving part moves during the same time. Check FAQs

i = \frac{d d \cdot (E + \sqrt{σ 2})}{d f \cdot (E + \sqrt{σ 1})}

i - Velocity Ratio?d_d - Diameter of Driver?E - Young's Modulus of Belt?σ₂ - Stress in Slack Side of Belt?d_f - Diameter of Follower?σ₁ - Stress in Tight Side of Belt?

Velocity Ratio of Belt given Creep of Belt Example

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Here is how the Velocity Ratio of Belt given Creep of Belt equation looks like with Values.

Here is how the Velocity Ratio of Belt given Creep of Belt equation looks like with Units.

Here is how the Velocity Ratio of Belt given Creep of Belt equation looks like.

0.7858 = \frac{0.011 \cdot (10000 + \sqrt{8})}{0.014 \cdot (10000 + \sqrt{5})}

0.7858 = \frac{0.011m \cdot (10000N/m² + \sqrt{8N/m²})}{0.014m \cdot (10000N/m² + \sqrt{5N/m²})}

0.7858 = \frac{0.011 \cdot (10000 + \sqrt{8})}{0.014 \cdot (10000 + \sqrt{5})}

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Velocity Ratio of Belt given Creep of Belt Solution

Follow our step by step solution on how to calculate Velocity Ratio of Belt given Creep of Belt?

FIRST Step Consider the formula

i = \frac{d d \cdot (E + \sqrt{σ 2})}{d f \cdot (E + \sqrt{σ 1})}

Next Step Substitute values of Variables

∴

i = \frac{0.011m \cdot (10000N/m² + \sqrt{8N/m²})}{0.014m \cdot (10000N/m² + \sqrt{5N/m²})}

Next Step Convert Units

∴

i = \frac{0.011m \cdot (10000Pa + \sqrt{8Pa})}{0.014m \cdot (10000Pa + \sqrt{5Pa})}

Next Step Prepare to Evaluate

∴

i = \frac{0.011 \cdot (10000 + \sqrt{8})}{0.014 \cdot (10000 + \sqrt{5})}

Next Step Evaluate

∴

i = 0.785760817813818

LAST Step Rounding Answer

∴

i = 0.7858

Velocity Ratio of Belt given Creep of Belt Formula Elements

Variables

Functions

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.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Velocity Ratio

Diameter of Driver

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.

Symbol: d_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Driver

Young's Modulus of Belt

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.

Symbol: E

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Young's Modulus of Belt

Stress in Slack Side of Belt

Stress in slack side of belt is the force acting on the unit area of a material.

Symbol: σ₂

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Stress in Slack Side of Belt

Diameter of Follower

Diameter of Follower is a chord that runs through the center point of the circle. It is the longest possible chord of any circle.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Follower

Stress in Tight Side of Belt

Stress in tight side of belt is the force acting on the unit area of a material.

Symbol: σ₁

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Stress in Tight Side of Belt

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.

Syntax: sqrt(Number)

Other Formulas to find Velocity Ratio

Go Velocity Ratio

i = \frac{T d}{T dr}

Go Velocity Ratio of Belt Drive

i = \frac{N f}{N d}

Go Velocity Ratio of Compound Belt Drive

i = \frac{N n}{N d′}

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

i = \frac{P 1}{P 2}

Other formulas in Velocity Ratio category

Go Peripheral Velocity of Driving Pulley

V = π \cdot d d \cdot N d

Go Peripheral Velocity of Follower Pulley

V = π \cdot d f \cdot N f

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

Velocity Ratio of Belt given Creep of Belt evaluator 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 evaluate 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 evaluate Velocity Ratio of Belt given Creep of Belt using this online evaluator? To use this online evaluator 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.

FAQs on Velocity Ratio of Belt given Creep of Belt

What is the formula to find Velocity Ratio of Belt given Creep of Belt?

The formula of Velocity Ratio of Belt given Creep of Belt is expressed as 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))). Here is an example- 0.807631 = (0.011*(10000+sqrt(8)))/(0.014*(10000+sqrt(5))).

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

With 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) we can find Velocity Ratio of Belt given Creep of Belt using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Velocity Ratio?

Here are the different ways to Calculate Velocity Ratio-

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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Velocity Ratio of Belt given Creep of Belt Formula

​GoVelocity Ratio Formula

​GoVelocity Ratio of Belt Drive Formula

Velocity Ratio of Belt given Creep of Belt Example

Velocity Ratio of Belt given Creep of Belt Solution

Velocity Ratio of Belt given Creep of Belt Formula Elements

Other Formulas to find Velocity Ratio

Other formulas in Velocity Ratio category

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

FAQs on Velocity Ratio of Belt given Creep of Belt

Variable Name

GoVelocity Ratio Formula

GoVelocity Ratio of Belt Drive Formula