Number of Teeth on Sprocket given Pitch Angle of Sprocket Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi))
z = 360/(α*(180/pi))
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Number of teeth on sprocket - Number of teeth on sprocket is defined as the number of teeth (which mesh with another compatible toothed part to the chain or convert torque and speed).
Pitch Angle of Sprocket - (Measured in Radian) - The Pitch Angle of Sprocket is generally the angle subtended by a small line called pitch. It is generally used in sprockets.
STEP 1: Convert Input(s) to Base Unit
Pitch Angle of Sprocket: 18 Degree --> 0.31415926535892 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = 360/(α*(180/pi)) --> 360/(0.31415926535892*(180/pi))
Evaluating ... ...
z = 20.0000000000038
STEP 3: Convert Result to Output's Unit
20.0000000000038 --> No Conversion Required
FINAL ANSWER
20.0000000000038 20 <-- Number of teeth on sprocket
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

22 Proportions of the Sprocket Wheel Calculators

Pitch Circle Diameter given Top Diameter of Sprocket Wheel
Go Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of teeth on sprocket))+2*Roller Radius of Chain
Top Diameter of Sprocket Wheel
Go Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of teeth on sprocket))-2*Roller Radius of Chain
Number of Teeth given Maximum Tooth Height above Pitch Polygon
Go Number of teeth on sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain)
Maximum Tooth Height above Pitch Polygon
Go Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of teeth on sprocket)
Chain Pitch given Maximum Tooth Height above Pitch Polygon
Go Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket)
Pitch Circle Diameter given Average Velocity of Chain
Go Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of chain drive shaft in rpm)
Pitch Circle Diameter given Pitch
Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of teeth on sprocket)
Roller Seating Radius given Roller Radius
Go Roller Seating Radius = (1.010*Roller Radius of Chain)+(0.00069*((2*Roller Radius of Chain)^(1/3)))
Tooth Flank Radius
Go Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of teeth on sprocket)^2+180)
Roller Seating Radius given Root Diameter of Sprocket Wheel
Go Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2
Pitch Circle Diameter given Root Diameter of Sprocket Wheel
Go Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius
Number of Teeth given Minimum Tooth Flank Radius
Go Number of teeth on sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2
Root Diameter of Sprocket Wheel
Go Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius
Minimum Tooth Flank Radius
Go Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of teeth on sprocket+2)
Number of Teeth given Maximum Roller Seating Angle
Go Number of teeth on sprocket = 90/(120-(Maximum Roller Seating Angle*180/pi))
Number of Teeth given Minimum Roller Seating Angle
Go Number of teeth on sprocket = 90/(140-(Minimum Roller Seating Angle*180/pi))
Maximum Roller Seating Angle
Go Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180
Minimum Roller Seating Angle
Go Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180
Number of Teeth on Sprocket given Pitch Angle of Sprocket
Go Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi))
Minimum Tooth Height above Pitch Polygon
Go Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain
Pitch Angle of Sprocket
Go Pitch Angle of Sprocket = (360/Number of teeth on sprocket)/57.24
Minimum Roller Seating Radius
Go Minimum Roller Seating Radius = 2*0.505*Roller Radius of Chain

Number of Teeth on Sprocket given Pitch Angle of Sprocket Formula

Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi))
z = 360/(α*(180/pi))

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 Sprocket given Pitch Angle of Sprocket?

Number of Teeth on Sprocket given Pitch Angle of Sprocket calculator uses Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi)) to calculate the Number of teeth on sprocket, The Number of Teeth on Sprocket given Pitch Angle of Sprocket formula is defined as the number of indentations present on the sprocket wheel. Number of teeth on sprocket is denoted by z symbol.

How to calculate Number of Teeth on Sprocket given Pitch Angle of Sprocket using this online calculator? To use this online calculator for Number of Teeth on Sprocket given Pitch Angle of Sprocket, enter Pitch Angle of Sprocket (α) and hit the calculate button. Here is how the Number of Teeth on Sprocket given Pitch Angle of Sprocket calculation can be explained with given input values -> 20 = 360/(0.31415926535892*(180/pi)).

FAQ

What is Number of Teeth on Sprocket given Pitch Angle of Sprocket?
The Number of Teeth on Sprocket given Pitch Angle of Sprocket formula is defined as the number of indentations present on the sprocket wheel and is represented as z = 360/(α*(180/pi)) or Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi)). The Pitch Angle of Sprocket is generally the angle subtended by a small line called pitch. It is generally used in sprockets.
How to calculate Number of Teeth on Sprocket given Pitch Angle of Sprocket?
The Number of Teeth on Sprocket given Pitch Angle of Sprocket formula is defined as the number of indentations present on the sprocket wheel is calculated using Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi)). To calculate Number of Teeth on Sprocket given Pitch Angle of Sprocket, you need Pitch Angle of Sprocket (α). With our tool, you need to enter the respective value for Pitch Angle of Sprocket 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 on sprocket?
In this formula, Number of teeth on sprocket uses Pitch Angle of Sprocket. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Number of teeth on sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2
  • Number of teeth on sprocket = 90/(120-(Maximum Roller Seating Angle*180/pi))
  • Number of teeth on sprocket = 90/(140-(Minimum Roller Seating Angle*180/pi))
  • Number of teeth on sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!