## < ⎙ 2 Other formulas that you can solve using the same Inputs

Length of arc of contact
Length of arc of contact=Path of contact/cos(Pressure angle) GO
Diametral pitch in terms of circular pitch
Diametral pitch=pi/Circular pitch GO

### Contact ratio Formula

Contact ratio=Path of contact/Circular pitch
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
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
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 length of path of contact?

Path of contact is the locus of the point of contact on two mating teeth from the beginning of engagement to the end of it. Thus CD is the path of contact. It is also called as contact length. It is the tangent to both the base circles and passes through the pitch point.

## How is circular pitch calculated?

Circular Circular pitch is the distance from a point on one tooth to the corresponding point on the next tooth measured along the pitch circle. Its value is equal to the circumference of the pitch circle divided by the number of teeth in the gear.

## How to Calculate Contact ratio?

Contact ratio calculator uses Contact ratio=Path of contact/Circular pitch to calculate the Contact ratio, Contact ratio represents the average number of teeth meshing at the same time. Contact ratio and is denoted by CR symbol.

How to calculate Contact ratio using this online calculator? To use this online calculator for Contact ratio, enter Circular pitch (Pc) and Path of contact (P) and hit the calculate button. Here is how the Contact ratio calculation can be explained with given input values -> 0.0036 = 0.018/5.

### FAQ

What is Contact ratio?
Contact ratio represents the average number of teeth meshing at the same time and is represented as CR=P/Pc or Contact ratio=Path of contact/Circular pitch. Circular pitch is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth and Path of contact is the path traced by the contact point of a pair of tooth profiles.
How to calculate Contact ratio?
Contact ratio represents the average number of teeth meshing at the same time is calculated using Contact ratio=Path of contact/Circular pitch. To calculate Contact ratio, you need Circular pitch (Pc) and Path of contact (P). With our tool, you need to enter the respective value for Circular pitch and Path of contact 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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