Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity Calculator

✖Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system.ⓘ Average Chain Velocity [v]			+10% -10%
✖Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.ⓘ Pitch of Chain [P]			+10% -10%
✖Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system.ⓘ Speed of Chain Drive Shaft in RPM [N]			+10% -10%

✖Number of Teeth on Sprocket is the total count of teeth present on a sprocket in a chain drive system, used to transmit power and motion.ⓘ Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity [z]

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Formula

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Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity

Formula

z = v \cdot \frac{60}{P \cdot N}

Example

23.89038 = 4.2 m/s \cdot \frac{60}{22 mm \cdot 479.4626}

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Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Teeth on Sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of Chain Drive Shaft in RPM)
z = v*60/(P*N)
This formula uses 4 Variables

Variables Used

Number of Teeth on Sprocket - Number of Teeth on Sprocket is the total count of teeth present on a sprocket in a chain drive system, used to transmit power and motion.
Average Chain Velocity - (Measured in Meter per Second) - Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length.
Speed of Chain Drive Shaft in RPM - Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system.

STEP 1: Convert Input(s) to Base Unit

Average Chain Velocity: 4.2 Meter per Second --> 4.2 Meter per Second No Conversion Required
Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Speed of Chain Drive Shaft in RPM: 479.4626 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = v*60/(P*N) --> 4.2*60/(0.022*479.4626)

Evaluating ... ...

z = 23.8903836389855

STEP 3: Convert Result to Output's Unit

23.8903836389855 --> No Conversion Required

FINAL ANSWER

23.8903836389855 ≈ 23.89038 <-- Number of Teeth on Sprocket

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Mechanical » Geometric Relationships for Chain » Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity

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Osmania University (OU), Hyderabad

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< Geometric Relationships for Chain Calculators

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

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 and Driven Sprockets given Average Chain Velocity Formula

Number of Teeth on Sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of Chain Drive Shaft in RPM)
z = v*60/(P*N)

What is Driven Sprocket?

The driven sprocket is the sprocket that receives motion and power from the chain in a chain drive system. It is connected to the component or machinery that needs to be driven, such as a wheel or conveyor. The driven sprocket rotates as the chain moves, transferring the power and motion initiated by the driving sprocket.

How to Calculate Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity?

Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity calculator uses Number of Teeth on Sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of Chain Drive Shaft in RPM) to calculate the Number of Teeth on Sprocket, Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity formula is defined as a method to determine the number of teeth on the driving and driven sprockets of a chain drive system, considering the average chain velocity, pitch, and rotational speed of the sprockets. Number of Teeth on Sprocket is denoted by z symbol.

How to calculate Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity using this online calculator? To use this online calculator for Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity, enter Average Chain Velocity (v), Pitch of Chain (P) & Speed of Chain Drive Shaft in RPM (N) and hit the calculate button. Here is how the Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity calculation can be explained with given input values -> 23 = 4.2*60/(0.022*479.4626).

FAQ

What is Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity?

Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity formula is defined as a method to determine the number of teeth on the driving and driven sprockets of a chain drive system, considering the average chain velocity, pitch, and rotational speed of the sprockets and is represented as z = v*60/(P*N) or Number of Teeth on Sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of Chain Drive Shaft in RPM). Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system, Pitch of Chain is the distance between two consecutive identical links measured along the direction of the chain's length & Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system.

How to calculate Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity?

Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity formula is defined as a method to determine the number of teeth on the driving and driven sprockets of a chain drive system, considering the average chain velocity, pitch, and rotational speed of the sprockets is calculated using Number of Teeth on Sprocket = Average Chain Velocity*60/(Pitch of Chain*Speed of Chain Drive Shaft in RPM). To calculate Number of Teeth on Driving and Driven Sprockets given Average Chain Velocity, you need Average Chain Velocity (v), Pitch of Chain (P) & Speed of Chain Drive Shaft in RPM (N). With our tool, you need to enter the respective value for Average Chain Velocity, Pitch of Chain & Speed of Chain Drive Shaft in RPM 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 Average Chain Velocity, Pitch of Chain & Speed of Chain Drive Shaft in RPM. We can use 1 other way(s) to calculate the same, which is/are as follows -

Number of Teeth on Sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)

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