Speed Ratio of Compound Gear Train Calculator

✖Product of number of teeth on driven is the value obtained by multiplication of numbers of teeth on drivens.ⓘ Product of Number of Teeth on Driven [P_driven]			+10% -10%
✖Product of number of teeth on drivers is the value obtained by multiplication of numbers of teeth on drivers.ⓘ Product of Number of Teeth on Drivers [P_driver]			+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.ⓘ Speed Ratio of Compound Gear Train [i]

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Formula

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Speed Ratio of Compound Gear Train

Formula

`"i" = "P"_{"driven"}/"P"_{"driver"}`

Example

`"0.592593"="16"/"27"`

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Speed Ratio of Compound Gear Train Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers
i = P_driven/P_driver
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.
Product of Number of Teeth on Driven - Product of number of teeth on driven is the value obtained by multiplication of numbers of teeth on drivens.
Product of Number of Teeth on Drivers - Product of number of teeth on drivers is the value obtained by multiplication of numbers of teeth on drivers.

STEP 1: Convert Input(s) to Base Unit

Product of Number of Teeth on Driven: 16 --> No Conversion Required
Product of Number of Teeth on Drivers: 27 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = P_driven/P_driver --> 16/27

Evaluating ... ...

i = 0.592592592592593

STEP 3: Convert Result to Output's Unit

0.592592592592593 --> No Conversion Required

FINAL ANSWER

0.592592592592593 ≈ 0.592593 <-- Velocity Ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Gear Trains » Speed Ratio of Compound Gear Train

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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

Speed Ratio of Compound Gear Train Formula

Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers
i = P_driven/P_driver

What is speed ratio?

Speed ratio (or velocity ratio) of the gear train is the ratio of the speed of the driver to the speed of the driven or follower(or) the ratio of speeds of any pair of gears in the mesh is the inverse of their number of teeth.

How to Calculate Speed Ratio of Compound Gear Train?

Speed Ratio of Compound Gear Train calculator uses Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers to calculate the Velocity Ratio, Speed ratio of compound gear train is the ratio of the speed of the driver to the speed of the driven or follower(or) the ratio of speeds of any pair of gears in the mesh is the inverse of their number of teeth. Velocity Ratio is denoted by i symbol.

How to calculate Speed Ratio of Compound Gear Train using this online calculator? To use this online calculator for Speed Ratio of Compound Gear Train, enter Product of Number of Teeth on Driven (P_driven) & Product of Number of Teeth on Drivers (P_driver) and hit the calculate button. Here is how the Speed Ratio of Compound Gear Train calculation can be explained with given input values -> 0.592593 = 16/27.

FAQ

What is Speed Ratio of Compound Gear Train?

Speed ratio of compound gear train is the ratio of the speed of the driver to the speed of the driven or follower(or) the ratio of speeds of any pair of gears in the mesh is the inverse of their number of teeth and is represented as i = P_driven/P_driver or Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers. Product of number of teeth on driven is the value obtained by multiplication of numbers of teeth on drivens & Product of number of teeth on drivers is the value obtained by multiplication of numbers of teeth on drivers.

How to calculate Speed Ratio of Compound Gear Train?

Speed ratio of compound gear train is the ratio of the speed of the driver to the speed of the driven or follower(or) the ratio of speeds of any pair of gears in the mesh is the inverse of their number of teeth is calculated using Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers. To calculate Speed Ratio of Compound Gear Train, you need Product of Number of Teeth on Driven (P_driven) & Product of Number of Teeth on Drivers (P_driver). With our tool, you need to enter the respective value for Product of Number of Teeth on Driven & Product of Number of Teeth on Drivers 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 Product of Number of Teeth on Driven & Product of Number of Teeth on Drivers. We can use 3 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 Last Driven Pulley/Speed of First Driver
Velocity Ratio = Product of Diameters of Drivers/Product of Diameters of Drivens

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