Module of Gear given Tolerance Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))
m = ฯ•-(0.25*(sqrt(d)))
This formula uses 1 Functions, 3 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
Module of Spur Gear - (Measured in Millimeter) - Module of Spur Gear is the unit of size that indicates how big or small is a gear.
Tolerance Factor of Spur Gear - The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing.
Pitch Circle Diameter of Spur Gear - (Measured in Millimeter) - Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
STEP 1: Convert Input(s) to Base Unit
Tolerance Factor of Spur Gear: 4.2 --> No Conversion Required
Pitch Circle Diameter of Spur Gear: 118 Millimeter --> 118 Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = ฯ•-(0.25*(sqrt(d))) --> 4.2-(0.25*(sqrt(118)))
Evaluating ... ...
m = 1.48430487719995
STEP 3: Convert Result to Output's Unit
0.00148430487719995 Meter -->1.48430487719995 Millimeter (Check conversion here)
FINAL ANSWER
1.48430487719995 โ‰ˆ 1.484305 Millimeter <-- Module of Spur Gear
(Calculation completed in 00.020 seconds)

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National Institute of Technology (NIT), Tiruchirapalli
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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

Module of Gear given Tolerance Factor Formula

Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear)))
m = ฯ•-(0.25*(sqrt(d)))

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 Module of Gear given Tolerance Factor?

Module of Gear given Tolerance Factor calculator uses Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))) to calculate the Module of Spur Gear, Module of Gear given Tolerance Factor is the number that expresses how big or small is the gear. The size of a gear tooth is expressed as its module. The sizes of gear teeth using the module system are indicated with the symbol m followed by numerals such as m1, m2, and m4 where the teeth sizes get larger as the numerical value increases. Module of Spur Gear is denoted by m symbol.

How to calculate Module of Gear given Tolerance Factor using this online calculator? To use this online calculator for Module of Gear given Tolerance Factor, enter Tolerance Factor of Spur Gear (ฯ•) & Pitch Circle Diameter of Spur Gear (d) and hit the calculate button. Here is how the Module of Gear given Tolerance Factor calculation can be explained with given input values -> 1484.305 = 4.2-(0.25*(sqrt(0.118))).

FAQ

What is Module of Gear given Tolerance Factor?
Module of Gear given Tolerance Factor is the number that expresses how big or small is the gear. The size of a gear tooth is expressed as its module. The sizes of gear teeth using the module system are indicated with the symbol m followed by numerals such as m1, m2, and m4 where the teeth sizes get larger as the numerical value increases and is represented as m = ฯ•-(0.25*(sqrt(d))) or Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). The Tolerance Factor of Spur Gear is a factor accounting for tolerance in gear manufacturing & Pitch Circle Diameter of Spur Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.
How to calculate Module of Gear given Tolerance Factor?
Module of Gear given Tolerance Factor is the number that expresses how big or small is the gear. The size of a gear tooth is expressed as its module. The sizes of gear teeth using the module system are indicated with the symbol m followed by numerals such as m1, m2, and m4 where the teeth sizes get larger as the numerical value increases is calculated using Module of Spur Gear = Tolerance Factor of Spur Gear-(0.25*(sqrt(Pitch Circle Diameter of Spur Gear))). To calculate Module of Gear given Tolerance Factor, you need Tolerance Factor of Spur Gear (ฯ•) & Pitch Circle Diameter of Spur Gear (d). With our tool, you need to enter the respective value for Tolerance Factor of Spur Gear & Pitch Circle Diameter 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 Module of Spur Gear?
In this formula, Module of Spur Gear uses Tolerance Factor of Spur Gear & Pitch Circle Diameter of Spur Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Module of Spur Gear = 1/Diametral Pitch of Spur Gear
  • Module of Spur Gear = Pitch Circle Diameter of Spur Gear/Number of Teeth on Spur Gear
  • Module of Spur Gear = Beam Strength of Spur Gear Teeth/(Lewis Form Factor for Spur Gear*Bending Stress in Spur Gear Teeth*Face Width of Spur Gear Tooth)
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