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 = Pd/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 = Pd/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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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

Speed Ratio of Compound Gear Train Formula

Velocity Ratio = Product of Number of Teeth on Driven/Product of Number of Teeth on Drivers
i = Pd/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 (Pd) & 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 = Pd/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 (Pd) & 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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