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 = P'd/Pd
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 = P'd/Pd --> 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

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Gear Trains Calculators

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 given Number of Teeth
​ Go Train Value = Number of Teeth on Driver/Number of Teeth on Driven
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
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 = P'd/Pd

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, can be determined using the product of the number of teeth on the driver and driven gears across all stages of the gear train. 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 (P'd) & Product of Number of Teeth on Driven (Pd) 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, can be determined using the product of the number of teeth on the driver and driven gears across all stages of the gear train and is represented as Tv = P'd/Pd 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, can be determined using the product of the number of teeth on the driver and driven gears across all stages of the gear train 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 (P'd) & Product of Number of Teeth on Driven (Pd). 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 = Number of Teeth on Driver/Number of Teeth on Driven
  • Train Value = Speed of Last Driven Pulley/Speed of First Driver
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