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Speed Ratio of Compound Gear Train Calculator

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✖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%
✖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%

✖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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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_d/P'_d
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_d/P'_d --> 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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< Gear Trains Calculators

Speed Ratio of Compound Gear Train

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

Train Value given Number of Teeth

LaTeX 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

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

Train Value given Speed of Follower and Driver

LaTeX Go Train Value = Speed of Follower/Speed of Driver

Speed Ratio of Compound Gear Train Formula

LaTeX Go

Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers
i = P_d/P'_d

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 product of the gear ratios of each gear pair in the train. It is calculated by multiplying the individual gear ratios, where each gear ratio is the ratio of the number of teeth on the driving gear to the number of teeth on the driven gear. 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_d) & Product of Number of Teeth on Drivers (P'_d) 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 product of the gear ratios of each gear pair in the train. It is calculated by multiplying the individual gear ratios, where each gear ratio is the ratio of the number of teeth on the driving gear to the number of teeth on the driven gear and is represented as i = P_d/P'_d 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 product of the gear ratios of each gear pair in the train. It is calculated by multiplying the individual gear ratios, where each gear ratio is the ratio of the number of teeth on the driving gear to the number of teeth on the driven gear 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_d) & Product of Number of Teeth on Drivers (P'_d). 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.

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