Velocity factor for precision gears with shaving and grinding operations when v greater than 20 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity Factor for Spur Gear = 5.6/(5.6+sqrt(Pitch Line Velocity of Spur Gear))
Cv = 5.6/(5.6+sqrt(v))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity Factor for Spur Gear - The Velocity Factor for Spur Gear is defined as the ratio of the static load at the failure to the dynamic load onto it at failure.
Pitch Line Velocity of Spur Gear - (Measured in Meter per Second) - The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear.
STEP 1: Convert Input(s) to Base Unit
Pitch Line Velocity of Spur Gear: 3.7 Meter per Second --> 3.7 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cv = 5.6/(5.6+sqrt(v)) --> 5.6/(5.6+sqrt(3.7))
Evaluating ... ...
Cv = 0.744330619141867
STEP 3: Convert Result to Output's Unit
0.744330619141867 --> No Conversion Required
FINAL ANSWER
0.744330619141867 0.744331 <-- Velocity Factor for Spur Gear
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Dynamics of Spur Gear Calculators

Radial Force of Gear given Tangential Force and Pressure Angle
​ LaTeX ​ Go Radial Force on Spur Gear = Tangential Force on Spur Gear*tan(Pressure Angle of Spur Gear)
Tangential Force on Gear given Radial Force and Pressure Angle
​ LaTeX ​ Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter
​ LaTeX ​ Go Torque Transmitted by Spur Gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
Tangential Force on Gear given Torque and Pitch Circle Diameter
​ LaTeX ​ Go Tangential Force on Spur Gear = 2*Torque Transmitted by Spur Gear/Pitch Circle Diameter of Spur Gear

Velocity factor for precision gears with shaving and grinding operations when v greater than 20 Formula

​LaTeX ​Go
Velocity Factor for Spur Gear = 5.6/(5.6+sqrt(Pitch Line Velocity of Spur Gear))
Cv = 5.6/(5.6+sqrt(v))

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 Velocity factor for precision gears with shaving and grinding operations when v greater than 20?

Velocity factor for precision gears with shaving and grinding operations when v greater than 20 calculator uses Velocity Factor for Spur Gear = 5.6/(5.6+sqrt(Pitch Line Velocity of Spur Gear)) to calculate the Velocity Factor for Spur Gear, Velocity factor for precision gears with shaving and grinding operations when v greater than 20m/s is the ratio of the static load at the failure to the dynamic load at failure. This velocity factor Kv is used to modify the Lewis equation: Thus, the higher the pitch line velocity, the greater the bending stress on the gear teeth. Velocity Factor for Spur Gear is denoted by Cv symbol.

How to calculate Velocity factor for precision gears with shaving and grinding operations when v greater than 20 using this online calculator? To use this online calculator for Velocity factor for precision gears with shaving and grinding operations when v greater than 20, enter Pitch Line Velocity of Spur Gear (v) and hit the calculate button. Here is how the Velocity factor for precision gears with shaving and grinding operations when v greater than 20 calculation can be explained with given input values -> 0.744331 = 5.6/(5.6+sqrt(3.7)).

FAQ

What is Velocity factor for precision gears with shaving and grinding operations when v greater than 20?
Velocity factor for precision gears with shaving and grinding operations when v greater than 20m/s is the ratio of the static load at the failure to the dynamic load at failure. This velocity factor Kv is used to modify the Lewis equation: Thus, the higher the pitch line velocity, the greater the bending stress on the gear teeth and is represented as Cv = 5.6/(5.6+sqrt(v)) or Velocity Factor for Spur Gear = 5.6/(5.6+sqrt(Pitch Line Velocity of Spur Gear)). The Pitch Line Velocity of Spur Gear is defined as the velocity of a point on the pitch circle of gear.
How to calculate Velocity factor for precision gears with shaving and grinding operations when v greater than 20?
Velocity factor for precision gears with shaving and grinding operations when v greater than 20m/s is the ratio of the static load at the failure to the dynamic load at failure. This velocity factor Kv is used to modify the Lewis equation: Thus, the higher the pitch line velocity, the greater the bending stress on the gear teeth is calculated using Velocity Factor for Spur Gear = 5.6/(5.6+sqrt(Pitch Line Velocity of Spur Gear)). To calculate Velocity factor for precision gears with shaving and grinding operations when v greater than 20, you need Pitch Line Velocity of Spur Gear (v). With our tool, you need to enter the respective value for Pitch Line Velocity 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 Velocity Factor for Spur Gear?
In this formula, Velocity Factor for Spur Gear uses Pitch Line Velocity of Spur Gear. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Velocity Factor for Spur Gear = 3/(3+Pitch Line Velocity of Spur Gear)
  • Velocity Factor for Spur Gear = 6/(6+Pitch Line Velocity of Spur Gear)
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