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## Credits

Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Pitch Circle Diameter in terms of Pitch Solution

STEP 0: Pre-Calculation Summary
Formula Used
pitch_circle_diameter = Pitch/sin(180/Number of teeth)
D = P/sin(180/z)
This formula uses 1 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Pitch - Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch. (Measured in Meter)
Number of teeth- The Number of teeth Value: Number of teeth
STEP 1: Convert Input(s) to Base Unit
Pitch: 0.01 Meter --> 0.01 Meter No Conversion Required
Number of teeth: 23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = P/sin(180/z) --> 0.01/sin(180/23)
Evaluating ... ...
D = 0.010003891826925
STEP 3: Convert Result to Output's Unit
0.010003891826925 Meter -->10.003891826925 Millimeter (Check conversion here)
FINAL ANSWER
10.003891826925 Millimeter <-- Pitch Circle Diameter
(Calculation completed in 00.007 seconds)

## < 10+ Design of Chain Drives Calculators

Number of Teeth on the Sprocket When Pitch Circle Diameter is Given
number_of_teeth = 180*(pi/180)*asin(Pitch Circle Diameter/Pitch) Go
Velocity Ratio of the Chain Drives
velocity_ratio = Angular speed of the driving member in rpm/Angular speed of the driven member in rpm Go
Number of Teeth on the Driven Sprocket When Velocity of the Chain Drives is Given
number_of_teeth_on_driven_sprocket = Number of Teeth on Driving Sprocket*Velocity ratio Go
Number of Teeth on Driving Sprocket When Velocity of the Chain Drives is Given
number_of_teeth_on_driving_sprocket = Number of Teeth on Driven Sprocket/Velocity ratio Go
Speed of Rotation of the Driving Shaft When Velocity Ratio of the Chain Drives is Given
angular_speed_driving_rpm = Velocity ratio*Angular speed of the driven member in rpm Go
Speed of Rotation of the Driven Shaft When Velocity Ratio of the Chain Drives is Given
angular_speed_driven_rpm = Angular speed of the driving member in rpm/Velocity ratio Go
Length of the Pitch When Pitch Circle Diameter is Given
pitch = Pitch Circle Diameter*sin(180/Number of teeth) Go
Pitch Circle Diameter in terms of Pitch
pitch_circle_diameter = Pitch/sin(180/Number of teeth) Go
Pitch Angle of the Sprocket
pitch_angle = 2*3.14/Number of teeth Go
Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given
number_of_teeth = 360/Pitch Angle Go

### Pitch Circle Diameter in terms of Pitch Formula

pitch_circle_diameter = Pitch/sin(180/Number of teeth)
D = P/sin(180/z)

## Define Sprocket?

A sprocket, sprocket-wheel or chainwheel is a profiled wheel with teeth, or cogs, that mesh with a chain, track or other perforated or indented material. The name 'sprocket' applies generally to any wheel upon which radial projections engage a chain passing over it.

## How to Calculate Pitch Circle Diameter in terms of Pitch?

Pitch Circle Diameter in terms of Pitch calculator uses pitch_circle_diameter = Pitch/sin(180/Number of teeth) to calculate the Pitch Circle Diameter, The Pitch Circle Diameter in terms of Pitch formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes. Pitch Circle Diameter and is denoted by D symbol.

How to calculate Pitch Circle Diameter in terms of Pitch using this online calculator? To use this online calculator for Pitch Circle Diameter in terms of Pitch, enter Pitch (P) and Number of teeth (z) and hit the calculate button. Here is how the Pitch Circle Diameter in terms of Pitch calculation can be explained with given input values -> 10.00389 = 0.01/sin(180/23).

### FAQ

What is Pitch Circle Diameter in terms of Pitch?
The Pitch Circle Diameter in terms of Pitch formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes and is represented as D = P/sin(180/z) or pitch_circle_diameter = Pitch/sin(180/Number of teeth). Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch and The Number of teeth Value: Number of teeth.
How to calculate Pitch Circle Diameter in terms of Pitch?
The Pitch Circle Diameter in terms of Pitch formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes is calculated using pitch_circle_diameter = Pitch/sin(180/Number of teeth). To calculate Pitch Circle Diameter in terms of Pitch, you need Pitch (P) and Number of teeth (z). With our tool, you need to enter the respective value for Pitch and Number of teeth 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 Pitch Circle Diameter?
In this formula, Pitch Circle Diameter uses Pitch and Number of teeth. We can use 10 other way(s) to calculate the same, which is/are as follows -
• pitch_angle = 2*3.14/Number of teeth
• number_of_teeth = 360/Pitch Angle
• pitch_circle_diameter = Pitch/sin(180/Number of teeth)
• pitch = Pitch Circle Diameter*sin(180/Number of teeth)
• number_of_teeth = 180*(pi/180)*asin(Pitch Circle Diameter/Pitch)
• velocity_ratio = Angular speed of the driving member in rpm/Angular speed of the driven member in rpm
• angular_speed_driving_rpm = Velocity ratio*Angular speed of the driven member in rpm
• angular_speed_driven_rpm = Angular speed of the driving member in rpm/Velocity ratio
• number_of_teeth_on_driving_sprocket = Number of Teeth on Driven Sprocket/Velocity ratio
• number_of_teeth_on_driven_sprocket = Number of Teeth on Driving Sprocket*Velocity ratio
Where is the Pitch Circle Diameter in terms of Pitch calculator used?
Among many, Pitch Circle Diameter in terms of Pitch calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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