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

STEP 0: Pre-Calculation Summary
Formula Used
Train Value = Product of Number of Teeth on Drivers/Product of Number of Teeth on Driven
Tv = Pdriver/Pdriven
This formula uses 3 Variables
Variables Used
Train Value - Train value is the ratio of the speed of the driven or follower to the speed of the driver.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Product of Number of Teeth on Drivers: 27 --> No Conversion Required
Product of Number of Teeth on Driven: 16 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tv = Pdriver/Pdriven --> 27/16
Evaluating ... ...
Tv = 1.6875
STEP 3: Convert Result to Output's Unit
1.6875 --> No Conversion Required
FINAL ANSWER
1.6875 <-- Train Value
(Calculation completed in 00.004 seconds)

Credits

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

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

Train Value = Product of Number of Teeth on Drivers/Product of Number of Teeth on Driven
Tv = Pdriver/Pdriven

What is Train value?

The train value is reciprocal of the speed ratio. Speed ratio (or velocity ratio) of 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 mesh is the inverse of their number of teeth.

How to Calculate Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear?

Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear calculator uses Train Value = Product of Number of Teeth on Drivers/Product of Number of Teeth on Driven to calculate the Train Value, Train value of Compound Gear Train given product of Teeth on Driven and Driver Gear is reciprocal of speed ratio. Speed ratio (or velocity ratio) of 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 mesh is the inverse of their number of teeth. Train Value is denoted by Tv symbol.

How to calculate Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear using this online calculator? To use this online calculator for Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear, enter Product of Number of Teeth on Drivers (Pdriver) & Product of Number of Teeth on Driven (Pdriven) and hit the calculate button. Here is how the Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear calculation can be explained with given input values -> 1.6875 = 27/16.

FAQ

What is Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear?
Train value of Compound Gear Train given product of Teeth on Driven and Driver Gear is reciprocal of speed ratio. Speed ratio (or velocity ratio) of 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 mesh is the inverse of their number of teeth and is represented as Tv = Pdriver/Pdriven or Train Value = Product of Number of Teeth on Drivers/Product of Number of Teeth on Driven. 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 driven is the value obtained by multiplication of numbers of teeth on drivens.
How to calculate Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear?
Train value of Compound Gear Train given product of Teeth on Driven and Driver Gear is reciprocal of speed ratio. Speed ratio (or velocity ratio) of 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 mesh is the inverse of their number of teeth is calculated using Train Value = Product of Number of Teeth on Drivers/Product of Number of Teeth on Driven. To calculate Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear, you need Product of Number of Teeth on Drivers (Pdriver) & Product of Number of Teeth on Driven (Pdriven). With our tool, you need to enter the respective value for Product of Number of Teeth on Drivers & Product of Number of Teeth on Driven 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 Train Value?
In this formula, Train Value uses Product of Number of Teeth on Drivers & Product of Number of Teeth on Driven. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Train Value = Speed of Follower/Speed of Driver
  • Train Value = No. of Teeth on Driver/No. of Teeth on Driven
  • Train Value = Speed of Last Driven Pulley/Speed of First Driver
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