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

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✖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'_d]			+10% -10%
✖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_d]			+10% -10%

✖Train Value is the ratio of the speed of the driven or follower to the speed of the driver.ⓘ Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear [T_v]

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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
T_v = P'_d/P_d
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

T_v = P'_d/P_d --> 27/16

Evaluating ... ...

T_v = 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)

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Home » Physics » Theory of Machine » Mechanical » Gear Trains » Train Value of Compound Gear Train given product of Teeth on Driven and Driver Gear

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< Gear Trains Calculators

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Velocity Ratio of Compound Belt Drive

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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
T_v = P'_d/P_d

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 T_v 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 (P_d) 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 T_v = P'_d/P_d 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 (P_d). 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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