Number of Teeth on Driving Sprocket given Velocity of Chain Drives Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive
z1 = z2/i
This formula uses 3 Variables
Variables Used
Number of Teeth on Driving Sprocket - Number of Teeth on Driving Sprocket is the number of teeth that are present on the driving sprocket.
Number of Teeth on Driven Sprocket - Number of Teeth on Driven Sprocket is the number of teeth that are present on the Driven sprocket.
Velocity Ratio of Chain Drive - Velocity Ratio of Chain Drive is the ratio of the speed of the driven and the driving shaft of the chain drive.
STEP 1: Convert Input(s) to Base Unit
Number of Teeth on Driven Sprocket: 34 --> No Conversion Required
Velocity Ratio of Chain Drive: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z1 = z2/i --> 34/2
Evaluating ... ...
z1 = 17
STEP 3: Convert Result to Output's Unit
17 --> No Conversion Required
FINAL ANSWER
17 <-- Number of Teeth on Driving Sprocket
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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23 Geometric Relationships for Chain Calculators

Number of Links in Chain
Go Number of links in chain = 2*(Centre Distance between Chain Pulleys/Pitch of Chain)+(Number of Teeth on Driving Sprocket+Number of Teeth on Driven Sprocket)/2+(Pitch of Chain/Centre Distance between Chain Pulleys)*((Number of Teeth on Driven Sprocket-Number of Teeth on Driving Sprocket)/2*pi)^2
Roller Radius given Top Diameter of Sprocket Wheel
Go Roller Radius of Chain = (Pitch Circle Diameter of Sprocket+(Pitch of Chain*(1-(1.6/Number of teeth on sprocket)))-Top Diameter of Sprocket Wheel)/2
Roller Radius given Maximum Tooth Height above Pitch Polygon
Go Roller Radius of Chain = 0.625*Pitch of Chain-Maximum Sprocket Tooth Height+0.8*Pitch of Chain/Number of teeth on sprocket
Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity
Go Number of teeth on sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of chain drive shaft in rpm)
Pitch of chain given Average Chain Velocity
Go Pitch of Chain = Average Chain Velocity*60/(Number of teeth on sprocket*Speed of chain drive shaft in rpm)
Average Chain Velocity given Number of Teeth on Sprocket
Go Average Chain Velocity = Number of teeth on sprocket*Pitch of Chain*Speed of chain drive shaft in rpm/60
Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity
Go Speed of chain drive shaft in rpm = Average Chain Velocity*60/(pi*Pitch Circle Diameter of Sprocket)
Average Velocity of Chain
Go Average Chain Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of chain drive shaft in rpm/60
Pitch of chain given Pitch Circle Diameter
Go Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of teeth on sprocket)
Number of Teeth on Sprocket given Pitch Circle Diameter
Go Number of teeth on sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)
Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives
Go Angular speed of chain driving shaft = Velocity Ratio of Chain Drive*Angular speed of chain driven shaft
Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives
Go Angular speed of chain driven shaft = Angular speed of chain driving shaft/Velocity Ratio of Chain Drive
Velocity Ratio of Chain Drives
Go Velocity Ratio of Chain Drive = Angular speed of chain driving shaft/Angular speed of chain driven shaft
Number of Teeth on Driving Sprocket given Velocity of Chain Drives
Go Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive
Number of Teeth on Driven Sprocket given Velocity of Chain Drives
Go Number of Teeth on Driven Sprocket = Number of Teeth on Driving Sprocket*Velocity Ratio of Chain Drive
Roller Radius given Tooth Flank Radius
Go Roller Radius of Chain = Sprocket Tooth Flank Radius/(0.016*((Number of teeth on sprocket)^2+180))
Roller Radius given Minimum Tooth Flank Radius
Go Roller Radius of Chain = Minimum Tooth Flank Radius/((Number of teeth on sprocket+2)*0.24)
Chain Pitch given Minimum Tooth Height above Pitch Polygon
Go Pitch of Chain = (Minimum Tooth Height+Roller Radius of Chain)/0.5
Roller Radius given Minimum Tooth Height above Pitch Polygon
Go Roller Radius of Chain = 0.5*Pitch of Chain-Minimum Tooth Height
Number of Links in Chain given Length of Chain
Go Number of links in chain = Length of Chain/Pitch of Chain
Pitch of chain given Length of Chain
Go Pitch of Chain = Length of Chain/Number of links in chain
Length of Chain
Go Length of Chain = Number of links in chain*Pitch of Chain
Roller Radius given Minimum Roller Seating Radius
Go Roller Radius of Chain = Minimum Roller Seating Radius/(2*0.505)

Number of Teeth on Driving Sprocket given Velocity of Chain Drives Formula

Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive
z1 = z2/i

Define Chain Drives?

Chain drive is a way of transmitting mechanical power from one place to another. It is often used to convey power to the wheels of a vehicle, particularly bicycles and motorcycles. It is also used in a wide variety of machines besides vehicles.

How to Calculate Number of Teeth on Driving Sprocket given Velocity of Chain Drives?

Number of Teeth on Driving Sprocket given Velocity of Chain Drives calculator uses Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive to calculate the Number of Teeth on Driving Sprocket, The Number of teeth on Driving Sprocket given Velocity of Chain Drives formula is defined as number of indentations that are present on driving Sprocket. Number of Teeth on Driving Sprocket is denoted by z1 symbol.

How to calculate Number of Teeth on Driving Sprocket given Velocity of Chain Drives using this online calculator? To use this online calculator for Number of Teeth on Driving Sprocket given Velocity of Chain Drives, enter Number of Teeth on Driven Sprocket (z2) & Velocity Ratio of Chain Drive (i) and hit the calculate button. Here is how the Number of Teeth on Driving Sprocket given Velocity of Chain Drives calculation can be explained with given input values -> 17 = 34/2.

FAQ

What is Number of Teeth on Driving Sprocket given Velocity of Chain Drives?
The Number of teeth on Driving Sprocket given Velocity of Chain Drives formula is defined as number of indentations that are present on driving Sprocket and is represented as z1 = z2/i or Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive. Number of Teeth on Driven Sprocket is the number of teeth that are present on the Driven sprocket & Velocity Ratio of Chain Drive is the ratio of the speed of the driven and the driving shaft of the chain drive.
How to calculate Number of Teeth on Driving Sprocket given Velocity of Chain Drives?
The Number of teeth on Driving Sprocket given Velocity of Chain Drives formula is defined as number of indentations that are present on driving Sprocket is calculated using Number of Teeth on Driving Sprocket = Number of Teeth on Driven Sprocket/Velocity Ratio of Chain Drive. To calculate Number of Teeth on Driving Sprocket given Velocity of Chain Drives, you need Number of Teeth on Driven Sprocket (z2) & Velocity Ratio of Chain Drive (i). With our tool, you need to enter the respective value for Number of Teeth on Driven Sprocket & Velocity Ratio of Chain Drive 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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