Chain Pitch given Maximum Tooth Height above Pitch Polygon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket)
P = hamax/(0.625-R+0.8/z)
This formula uses 4 Variables
Variables Used
Pitch of Chain - (Measured in Meter) - Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link.
Maximum Sprocket Tooth Height - (Measured in Meter) - Maximum Sprocket Tooth Height is the maximum limit of the tooth height on the sprocket wheel.
Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain.
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).
STEP 1: Convert Input(s) to Base Unit
Maximum Sprocket Tooth Height: 8.9 Millimeter --> 0.0089 Meter (Check conversion here)
Roller Radius of Chain: 5.8 Millimeter --> 0.0058 Meter (Check conversion here)
Number of teeth on sprocket: 23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = hamax/(0.625-R+0.8/z) --> 0.0089/(0.625-0.0058+0.8/23)
Evaluating ... ...
P = 0.0136089245824912
STEP 3: Convert Result to Output's Unit
0.0136089245824912 Meter -->13.6089245824912 Millimeter (Check conversion here)
FINAL ANSWER
13.6089245824912 โ‰ˆ 13.60892 Millimeter <-- Pitch of Chain
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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

Chain Pitch given Maximum Tooth Height above Pitch Polygon Formula

Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket)
P = hamax/(0.625-R+0.8/z)

Define a 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 Chain Pitch given Maximum Tooth Height above Pitch Polygon?

Chain Pitch given Maximum Tooth Height above Pitch Polygon calculator uses Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket) to calculate the Pitch of Chain, The Chain Pitch given Maximum Tooth Height above Pitch Polygon formula is defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link. Pitch of Chain is denoted by P symbol.

How to calculate Chain Pitch given Maximum Tooth Height above Pitch Polygon using this online calculator? To use this online calculator for Chain Pitch given Maximum Tooth Height above Pitch Polygon, enter Maximum Sprocket Tooth Height (hamax), Roller Radius of Chain (R) & Number of teeth on sprocket (z) and hit the calculate button. Here is how the Chain Pitch given Maximum Tooth Height above Pitch Polygon calculation can be explained with given input values -> 13608.92 = 0.0089/(0.625-0.0058+0.8/23).

FAQ

What is Chain Pitch given Maximum Tooth Height above Pitch Polygon?
The Chain Pitch given Maximum Tooth Height above Pitch Polygon formula is defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link and is represented as P = hamax/(0.625-R+0.8/z) or Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket). Maximum Sprocket Tooth Height is the maximum limit of the tooth height on the sprocket wheel, Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain & 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).
How to calculate Chain Pitch given Maximum Tooth Height above Pitch Polygon?
The Chain Pitch given Maximum Tooth Height above Pitch Polygon formula is defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link is calculated using Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket). To calculate Chain Pitch given Maximum Tooth Height above Pitch Polygon, you need Maximum Sprocket Tooth Height (hamax), Roller Radius of Chain (R) & Number of teeth on sprocket (z). With our tool, you need to enter the respective value for Maximum Sprocket Tooth Height, Roller Radius of Chain & Number of teeth on sprocket 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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