Gear Ratio given Speed Calculator

✖Speed of Spur Pinion is the angular velocity of the gear (the smaller of a pair of gear wheels).ⓘ Speed of Spur Pinion [n_p]			+10% -10%
✖Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).ⓘ Speed of Spur Gear [n_g]			+10% -10%

✖Gear Ratio of Spur Gear is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion.ⓘ Gear Ratio given Speed [G]

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Gear Ratio given Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
G = n_p/n_g
This formula uses 3 Variables

Variables Used

Gear Ratio of Spur Gear - Gear Ratio of Spur Gear is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion.
Speed of Spur Pinion - (Measured in Radian per Second) - Speed of Spur Pinion is the angular velocity of the gear (the smaller of a pair of gear wheels).
Speed of Spur Gear - (Measured in Radian per Second) - Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).

STEP 1: Convert Input(s) to Base Unit

Speed of Spur Pinion: 28 Radian per Second --> 28 Radian per Second No Conversion Required
Speed of Spur Gear: 10 Radian per Second --> 10 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = n_p/n_g --> 28/10

Evaluating ... ...

G = 2.8

STEP 3: Convert Result to Output's Unit

2.8 --> No Conversion Required

FINAL ANSWER

2.8 <-- Gear Ratio of Spur Gear

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Parameters of Spur Gear Calculators

Circular Pitch of Gear given Diameter and Number of Teeth

LaTeX Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear

Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter

LaTeX Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear

Diametral Pitch of Gear given Circular Pitch

LaTeX Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear

Module of Gear given Diametral Pitch

LaTeX Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

Gear Ratio given Speed Formula

LaTeX Go

Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
G = n_p/n_g

What is a gear?

Gears are defined as toothed wheels or multilobed-cams, which transmit power and motion from one shaft to another by means of successive engagement of teeth.

How to Calculate Gear Ratio given Speed?

Gear Ratio given Speed calculator uses Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear to calculate the Gear Ratio of Spur Gear, The Gear ratio given speed formula is defined as the ratio of the speed of the pinion to that of gear. Gear Ratio of Spur Gear is denoted by G symbol.

How to calculate Gear Ratio given Speed using this online calculator? To use this online calculator for Gear Ratio given Speed, enter Speed of Spur Pinion (n_p) & Speed of Spur Gear (n_g) and hit the calculate button. Here is how the Gear Ratio given Speed calculation can be explained with given input values -> 2.8 = 28/10.

FAQ

What is Gear Ratio given Speed?

The Gear ratio given speed formula is defined as the ratio of the speed of the pinion to that of gear and is represented as G = n_p/n_g or Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear. Speed of Spur Pinion is the angular velocity of the gear (the smaller of a pair of gear wheels) & Speed of Spur Gear is the angular velocity of the gear (the larger of a pair of gear wheels).

How to calculate Gear Ratio given Speed?

The Gear ratio given speed formula is defined as the ratio of the speed of the pinion to that of gear is calculated using Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear. To calculate Gear Ratio given Speed, you need Speed of Spur Pinion (n_p) & Speed of Spur Gear (n_g). With our tool, you need to enter the respective value for Speed of Spur Pinion & Speed of Spur Gear 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 Gear Ratio of Spur Gear?

In this formula, Gear Ratio of Spur Gear uses Speed of Spur Pinion & Speed of Spur Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -

Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion

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