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## Credits

Osmania University (OU), Hyderabad
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## Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
number_of_teeth = 360/Pitch Angle
z = 360/z
This formula uses 1 Variables
Variables Used
Pitch Angle - Pitch Angle is generally the angle subtended by a small line called pitch. It is generally used in sprockets. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Pitch Angle: 50 Degree --> 0.872664625997001 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = 360/z --> 360/0.872664625997001
Evaluating ... ...
z = 412.52961249427
STEP 3: Convert Result to Output's Unit
412.52961249427 --> No Conversion Required
FINAL ANSWER
412.52961249427 <-- Number of teeth
(Calculation completed in 00.003 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

### Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given Formula

number_of_teeth = 360/Pitch Angle
z = 360/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 Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given?

Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given calculator uses number_of_teeth = 360/Pitch Angle to calculate the Number of teeth, The Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given formula is defined as the number of indentations present on the sprocket wheel. Number of teeth and is denoted by z symbol.

How to calculate Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given using this online calculator? To use this online calculator for Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given, enter Pitch Angle (z) and hit the calculate button. Here is how the Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given calculation can be explained with given input values -> 412.5296 = 360/0.872664625997001.

### FAQ

What is Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given?
The Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given formula is defined as the number of indentations present on the sprocket wheel and is represented as z = 360/z or number_of_teeth = 360/Pitch Angle. Pitch Angle is generally the angle subtended by a small line called pitch. It is generally used in sprockets.
How to calculate Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given?
The Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given formula is defined as the number of indentations present on the sprocket wheel is calculated using number_of_teeth = 360/Pitch Angle. To calculate Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given, you need Pitch Angle (z). With our tool, you need to enter the respective value for Pitch Angle 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 Number of teeth?
In this formula, Number of teeth uses Pitch Angle. 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 Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given calculator used?
Among many, Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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