Velocity Ratio of Compound Belt Drive Calculator

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Gear Trains

Balancing of Rotating Masses

Belt, Rope and Chain Drives

Brakes and Dynamometers

Simple Harmonic Motion

Simple Mechanism

Steam Engine Valves and Reversing Gears

Toothed Gearing

Turning Moment Diagrams and Flywheel

Vibrations

✖Speed of last driven pulley is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.ⓘ Speed of Last Driven Pulley [N_n]			+10% -10%
✖Speed of first driver is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.ⓘ Speed of First Driver [N_d1]			+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 Compound Belt Drive [i]

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Formula

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Velocity Ratio of Compound Belt Drive

Formula

`"i" = "N"_{"n"}/"N"_{"d1"}`

Example

`"0.785714"="22rev/min"/"28rev/min"`

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Velocity Ratio of Compound Belt Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver
i = N_n/N_d1
This formula uses 3 Variables

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.
Speed of Last Driven Pulley - (Measured in Hertz) - Speed of last driven pulley is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.
Speed of First Driver - (Measured in Hertz) - Speed of first driver is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.

STEP 1: Convert Input(s) to Base Unit

Speed of Last Driven Pulley: 22 Revolution per Minute --> 0.366666666666667 Hertz (Check conversion here)
Speed of First Driver: 28 Revolution per Minute --> 0.466666666666667 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = N_n/N_d1 --> 0.366666666666667/0.466666666666667

Evaluating ... ...

i = 0.785714285714286

STEP 3: Convert Result to Output's Unit

0.785714285714286 --> No Conversion Required

FINAL ANSWER

0.785714285714286 ≈ 0.785714 <-- Velocity Ratio

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 13 Gear Trains Calculators

Output Torque on Driven Member given Angular Speed of Driven and Driver

Go Output Torque or Load Torque on Driven Member = Input Torque on Driving Member*Angular Speed of Driving Member in RPM/Angular Speed of Driven Member in RPM

Output Torque or Resisting or Load Torque on Driven Member

Go Output Torque or Load Torque on Driven Member = -Input Torque on Driving Member*Angular Speed of Driving Member/Angular Speed of Driven member

Holding or Braking or Fixing Torque on Fixed Member

Go Total Torque = Input Torque on Driving Member*(Angular Speed of Driving Member in RPM/Angular Speed of Driven Member in RPM-1)

Braking or Holding Torque on Fixed Member given Input Torque

Go Total Torque = Input Torque on Driving Member*(Angular Speed of Driving Member/Angular Speed of Driven member-1)

Holding or Braking or Fixing Torque on Fixed Member given Input and Output Torque

Go Total Torque = -(Input Torque on Driving Member+Output Torque or Load Torque on Driven Member)

Speed Ratio of Compound Gear Train

Go Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers

Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear

Go Train Value = Product of Number of Teeth on Drivers/Product of Number of Teeth on Driven

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

Train Value of Compound Gear Train given Speed of Driven and Driver Gear

Go Train Value = Speed of Last Driven Pulley/Speed of First Driver

Velocity Ratio

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

Train Value given Number of Teeth

Go Train Value = No. of Teeth on Driver/No. of Teeth on Driven

Train Value given Speed of Follower and Driver

Go Train Value = Speed of Follower/Speed of Driver

< 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 Compound Belt Drive Formula

Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver
i = N_n/N_d1

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.

What is velocity ratio of a pulley?

The theoretical mechanical advantage of a system is the ratio of the force that performs the useful work to the force applied, assuming there is no friction in the system. Velocity ratio is defined as the ratio of the distance moved by effort and load, in the same time interval.

How to Calculate Velocity Ratio of Compound Belt Drive?

Velocity Ratio of Compound Belt Drive calculator uses Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver to calculate the Velocity Ratio, The velocity ratio of compound belt drive is defined as the ratio of the distance moved by effort and load, in the same time interval. Velocity Ratio is denoted by i symbol.

How to calculate Velocity Ratio of Compound Belt Drive using this online calculator? To use this online calculator for Velocity Ratio of Compound Belt Drive, enter Speed of Last Driven Pulley (N_n) & Speed of First Driver (N_d1) and hit the calculate button. Here is how the Velocity Ratio of Compound Belt Drive calculation can be explained with given input values -> 0.785714 = 0.366666666666667/0.466666666666667.

FAQ

What is Velocity Ratio of Compound Belt Drive?

The velocity ratio of compound belt drive is defined as the ratio of the distance moved by effort and load, in the same time interval and is represented as i = N_n/N_d1 or Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver. Speed of last driven pulley is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc & Speed of first driver is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.

How to calculate Velocity Ratio of Compound Belt Drive?

The velocity ratio of compound belt drive is defined as the ratio of the distance moved by effort and load, in the same time interval is calculated using Velocity Ratio = Speed of Last Driven Pulley/Speed of First Driver. To calculate Velocity Ratio of Compound Belt Drive, you need Speed of Last Driven Pulley (N_n) & Speed of First Driver (N_d1). With our tool, you need to enter the respective value for Speed of Last Driven Pulley & Speed of First Driver 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 Speed of Last Driven Pulley & Speed of First Driver. We can use 10 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 = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers
Velocity Ratio = Product of Diameters of Drivers/Product of Diameters of Drivens
Velocity Ratio = No. of Teeth on Driven/No. of Teeth on Driver
Velocity Ratio = Speed of Follower/Speed of 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*(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 = (Diameter of Driver+Belt Thickness)*(1-0.01*Total Percentage of Slip)/(Diameter of Follower+Belt Thickness)

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