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 โ‰ˆ 0.744331 <-- Velocity Factor for Spur Gear
(Calculation completed in 00.020 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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25 Design of Spur Gears Calculators

Center to Center Distance between Spur Gears
Go Distance between Spur Gear Centres = Module of Spur Gear*((Number of Teeth on Pinion+Number of Teeth on Spur Gear)/2)
Circular Pitch of Gear given Diameter and Number of Teeth
Go Circular Pitch of Spur Gear = pi*Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Resultant Force on Gear
Go Resultant Force on Spur Gear = Tangential Force on Spur Gear/cos(Pressure Angle of Spur Gear)
Radial Force of Gear given Tangential Force and Pressure Angle
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
Go Tangential Force on Spur Gear = Radial Force on Spur Gear*cot(Pressure Angle of Spur Gear)
Pitch Circle Diameter of holes of Medium Size Gear
Go Pitch Circle Diameter of Holes in Gear = (Inner Diameter of Rim of Spur Gear+Outer Diameter of Spur Gear Hub)/2
Diameter of Holes in Gear Web of Medium Size Diameter
Go Diameter of Holes in Spur Gear Web = (Inner Diameter of Rim of Spur Gear-Outer Diameter of Spur Gear Hub)/4
Inner Diameter of Rim of Large Size Gear
Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim
Torque Transmitted by Gear given Tangential Force and Pitch Circle Diameter
Go Torque transmitted by spur gear = Tangential Force on Spur Gear*Pitch Circle Diameter of Spur Gear/2
Addendum Circle Diameter of Medium Size Gear Diameter given Addendum
Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)
Tangential Force on Gear given Torque and Pitch Circle Diameter
Go Tangential Force on Spur Gear = 2*Torque transmitted by spur gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Medium Size Gear given Dedundum
Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
Diametral Pitch of Gear given Number of teeth and Pitch Circle Diameter
Go Diametral Pitch of Spur Gear = Number of Teeth on Spur Gear/Pitch Circle Diameter of Spur Gear
Dedendum Circle Diameter of Large Size Gear
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Large Size Gear
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Pitch Circle Diameter of Gear given Module and Number of Teeth
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Module of Gear given Pitch Circle Diameter
Go Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
Maximum Torque of Gear given Service Factor
Go Maximum Torque on Spur Gear = Service Factor for Spur Gear*Rated Torque of Spur Gear
Service Factor for Gear given Torque
Go Service Factor for Spur Gear = Maximum Torque on Spur Gear/Rated Torque of Spur Gear
Gear Ratio given Number of Teeth
Go Gear Ratio of Spur Gear = Number of Teeth on Spur Gear/Number of Teeth on Pinion
Gear Ratio given Speed
Go Gear Ratio of Spur Gear = Speed of Spur Pinion/Speed of Spur Gear
Diametral Pitch of Gear given Circular Pitch
Go Diametral Pitch of Spur Gear = pi/Circular Pitch of Spur Gear
Outer Diameter of Hub of Large Size Gear
Go Outer Diameter of Spur Gear Hub = 2*Diameter of Spur Gear Shaft
Thickness of Rim of Large Size Gear
Go Thickness of Spur Gear Rim = 0.56*Circular Pitch of Spur Gear
Module of Gear given Diametral Pitch
Go Module of Spur Gear = 1/Diametral Pitch of Spur Gear

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

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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