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
Maximum length of arc of approach
Length of arc of contact=(Radius of pitch circle of wheel+Radius of pitch circle of pinion)*tan(Pressure angle) GO
Maximum length of path of contact
Path of contact=(Radius of pitch circle of wheel+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
Maximum length of path of recess
Path of recess=Radius of pitch circle of wheel*sin(Pressure angle) 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 rack Formula

Addendum of the rack=( Number of teeth on the pinion*(sin(Pressure angle))^2)/2
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
Addendum of the pinion 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
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.

What do you understand by Interference in gears?

When two gears are in mesh at one instant there is a chance to mate involute portion with non-involute portion of mating gear. This phenomenon is known as "interference" and occurs when the number of teeth on the smaller of the two meshing gears is less than a required minimum.

How to Calculate Addendum of the rack?

Addendum of the rack calculator uses Addendum of the rack=( Number of teeth on the pinion*(sin(Pressure angle))^2)/2 to calculate the Addendum of the rack, Addendum of the rack 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 rack and is denoted by AR symbol.

How to calculate Addendum of the rack using this online calculator? To use this online calculator for Addendum of the rack, enter Pressure angle (Φ) and Number of teeth on the pinion (t) and hit the calculate button. Here is how the Addendum of the rack calculation can be explained with given input values -> 1250 = (10*(sin(30))^2)/2.

FAQ

What is Addendum of the rack?
Addendum of the rack 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 AR=(t*(sin(Φ))^2)/2 or Addendum of the rack=( Number of teeth on the pinion*(sin(Pressure angle))^2)/2. 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 rack?
Addendum of the rack 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 rack=( Number of teeth on the pinion*(sin(Pressure angle))^2)/2. To calculate Addendum of the rack, you need Pressure angle (Φ) and Number of teeth on the pinion (t). With our tool, you need to enter the respective value for 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.
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