11 Other formulas that you can solve using the same Inputs

Length of path of contact
Path of contact=(sqrt(( Radius of addendum circle of wheel^2)-((Radius of pitch circle of wheel^2)*(cos(Pressure angle))^2)))+(sqrt((Radius of addendum circle of pinion^2)-((Radius of pitch circle of pinion^2)*(cos(Pressure angle))^2)))-((Radius of pitch circle of wheel+Radius of pitch circle of pinion)*sin(Pressure angle)) GO
Length of path of approach
Path of approach=(sqrt(( Radius of addendum circle of wheel^2)-((Radius of pitch circle of wheel^2)*(cos(Pressure angle))^2)))-(Radius of pitch circle of wheel*sin(Pressure angle)) GO
Length of path of recess
Path of recess=(sqrt((Radius of addendum circle of pinion^2)-((Radius of pitch circle of pinion^2)*(cos(Pressure angle))^2)))-(Radius of pitch circle of pinion*sin(Pressure angle)) GO
Radius of base circle of pinion
Radius of base circle of pinion=Radius of pitch circle of pinion*cos(Pressure angle) GO
Radius of base circle of wheel
Radius of base circle of wheel=Radius of pitch circle of wheel*cos(Pressure angle) GO
Circular pitch
Circular pitch=(pi*Diameter of the pitch circle)/Number of teeth on the wheel GO
Diametral Pitch
Diametral pitch=Number of teeth on the wheel/Diameter of the pitch circle GO
Module
Module=Diameter of the pitch circle/Number of teeth on the wheel GO
Length of arc of contact
Length of arc of contact=Path of contact/cos(Pressure angle) GO
Tangential force on gear shaft
Tangential Force=Maximum tooth pressure*cos(Pressure angle) GO
Normal force on gear shaft
Normal Force=Maximum tooth pressure*sin(Pressure angle) GO

Addendum of the pinion Formula

Addendum of the pinion=( Number of teeth on the pinion/2)*((sqrt(1+((Number of teeth on the wheel/ Number of teeth on the pinion)*((Number of teeth on the wheel/ Number of teeth on the pinion)+2)*(sin(Pressure angle))^2)))-1)
More formulas
Circular pitch GO
Module GO
Diametral pitch in terms of circular pitch GO
Diametral Pitch GO
Tangential force on gear shaft GO
Normal force on gear shaft GO
Torque exerted on the gear shaft GO
Length of path of contact GO
Length of path of recess GO
Length of path of approach GO
Circular pitch GO
Length of arc of contact GO
Contact ratio GO
Radius of base circle of wheel GO
Radius of base circle of pinion GO
Maximum length of arc of approach GO
Maximum length of path of contact GO
Maximum length of path of recess GO
Maximum length of path of approach GO
Gear ratio GO
Gear ratio GO
Minimum number of teeth on the pinion in order to avoid interference GO
Minimum number of teeth on the pinion in order to avoid interference if pinion and wheel have equal teeth GO
Addendum of the wheel GO
Minimum number of teeth on the pinion in order to avoid interference GO
Minimum number of teeth on the wheel in order to avoid interference if pinion and wheel have equal teeth GO
Minimum number of teeth on the pinion in order to avoid interference in terms of addendum of wheels GO
Addendum of the rack GO
Minimum number of teeth on a pinion for involute rack in order to avoid interference GO
Circular pitch for helical gears GO
Axial thrust on driven GO
Axial thrust on driver GO
Maximum efficiency of spiral gears GO
Efficiency of spiral gears GO
Efficiency of spiral gears GO
Work output on the driven GO
Work output on the driver GO
Force applied tangentially on the driver GO
Resisting force acting tangentially on the driven GO
Shaft angle GO

What is addendum?

The addendum is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line; also, the radial distance between the pitch diameter and the outside diameter.

How to Calculate Addendum of the pinion?

Addendum of the pinion calculator uses Addendum of the pinion=( Number of teeth on the pinion/2)*((sqrt(1+((Number of teeth on the wheel/ Number of teeth on the pinion)*((Number of teeth on the wheel/ Number of teeth on the pinion)+2)*(sin(Pressure angle))^2)))-1) to calculate the Addendum of the pinion, Addendum of the pinion is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line. Addendum of the pinion and is denoted by Ap symbol.

How to calculate Addendum of the pinion using this online calculator? To use this online calculator for Addendum of the pinion, enter Number of teeth on the wheel (T), Pressure angle (Φ) and Number of teeth on the pinion (t) and hit the calculate button. Here is how the Addendum of the pinion calculation can be explained with given input values -> 2000 = (10/2)*((sqrt(1+((12/10)*((12/10)+2)*(sin(30))^2)))-1).

FAQ

What is Addendum of the pinion?
Addendum of the pinion is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line and is represented as Ap=(t/2)*((sqrt(1+((T/t)*((T/t)+2)*(sin(Φ))^2)))-1) or Addendum of the pinion=( Number of teeth on the pinion/2)*((sqrt(1+((Number of teeth on the wheel/ Number of teeth on the pinion)*((Number of teeth on the wheel/ Number of teeth on the pinion)+2)*(sin(Pressure angle))^2)))-1). Number of teeth on the wheel is the count of teeths on the wheel, Pressure angle is the angle which the common normal to the base circles and Number of teeth on the pinion is the count of teeth on pinion.
How to calculate Addendum of the pinion?
Addendum of the pinion is the height by which a tooth of a gear projects beyond (outside for external, or inside for internal) the standard pitch circle or pitch line is calculated using Addendum of the pinion=( Number of teeth on the pinion/2)*((sqrt(1+((Number of teeth on the wheel/ Number of teeth on the pinion)*((Number of teeth on the wheel/ Number of teeth on the pinion)+2)*(sin(Pressure angle))^2)))-1). To calculate Addendum of the pinion, you need Number of teeth on the wheel (T), Pressure angle (Φ) and Number of teeth on the pinion (t). With our tool, you need to enter the respective value for Number of teeth on the wheel, Pressure angle and Number of teeth on the pinion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!