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Pitch Angle of the Sprocket Solution

STEP 0: Pre-Calculation Summary
Formula Used
pitch_angle = 2*3.14/Number of teeth
z = 2*3.14/z
This formula uses 1 Variables
Variables Used
Number of teeth- The Number of teeth Value: Number of teeth
STEP 1: Convert Input(s) to Base Unit
Number of teeth: 23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = 2*3.14/z --> 2*3.14/23
Evaluating ... ...
z = 0.27304347826087
STEP 3: Convert Result to Output's Unit
0.27304347826087 Radian -->15.6442389279228 Degree (Check conversion here)
FINAL ANSWER
15.6442389279228 Degree <-- Pitch Angle
(Calculation completed in 00.000 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 Angle of the Sprocket Formula

pitch_angle = 2*3.14/Number of teeth
z = 2*3.14/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 Angle of the Sprocket?

Pitch Angle of the Sprocket calculator uses pitch_angle = 2*3.14/Number of teeth to calculate the Pitch Angle, The Pitch angle of the Sprocket formula is defined as the angle subtended by the small line known as the pitch. Pitch Angle and is denoted by z symbol.

How to calculate Pitch Angle of the Sprocket using this online calculator? To use this online calculator for Pitch Angle of the Sprocket, enter Number of teeth (z) and hit the calculate button. Here is how the Pitch Angle of the Sprocket calculation can be explained with given input values -> 15.64424 = 2*3.14/23.

FAQ

What is Pitch Angle of the Sprocket?
The Pitch angle of the Sprocket formula is defined as the angle subtended by the small line known as the pitch and is represented as z = 2*3.14/z or pitch_angle = 2*3.14/Number of teeth. The Number of teeth Value: Number of teeth.
How to calculate Pitch Angle of the Sprocket?
The Pitch angle of the Sprocket formula is defined as the angle subtended by the small line known as the pitch is calculated using pitch_angle = 2*3.14/Number of teeth. To calculate Pitch Angle of the Sprocket, you need Number of teeth (z). With our tool, you need to enter the respective value for 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 Angle?
In this formula, Pitch Angle uses 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 Angle of the Sprocket calculator used?
Among many, Pitch Angle of the Sprocket calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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