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Linear Velocity of Sprocket Formula

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Linear Velocity of Sprocket is the speed at which a point on the sprocket's circumference moves. It is determined by the sprocket's rotational speed and radius. Check FAQs

v s = π \cdot D \cdot \frac{N}{60}

v_s - Linear Velocity of Sprocket?D - Pitch Circle Diameter of Sprocket?N - Speed of Chain Drive Shaft in RPM?π - Archimedes' constant?

Linear Velocity of Sprocket Example

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Here is how the Linear Velocity of Sprocket equation looks like with Values.

Here is how the Linear Velocity of Sprocket equation looks like with Units.

Here is how the Linear Velocity of Sprocket equation looks like.

4.3 = 3.1416 \cdot 164.2479 \cdot \frac{500}{60}

4.3m/s = 3.1416 \cdot 164.2479mm \cdot \frac{500}{60}

4.3 = 3.1416 \cdot 164.2479 \cdot \frac{500}{60}

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Linear Velocity of Sprocket Solution

Follow our step by step solution on how to calculate Linear Velocity of Sprocket?

FIRST Step Consider the formula

v s = π \cdot D \cdot \frac{N}{60}

Next Step Substitute values of Variables

∴

v s = π \cdot 164.2479mm \cdot \frac{500}{60}

Next Step Substitute values of Constants

∴

v s = 3.1416 \cdot 164.2479mm \cdot \frac{500}{60}

Next Step Convert Units

∴

v s = 3.1416 \cdot 0.1642m \cdot \frac{500}{60}

Next Step Prepare to Evaluate

∴

v s = 3.1416 \cdot 0.1642 \cdot \frac{500}{60}

Next Step Evaluate

∴

v s = 4.29999996672959m/s

LAST Step Rounding Answer

∴

v s = 4.3m/s

Linear Velocity of Sprocket Formula Elements

Variables

Constants

Linear Velocity of Sprocket

Linear Velocity of Sprocket is the speed at which a point on the sprocket's circumference moves. It is determined by the sprocket's rotational speed and radius.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Linear Velocity of Sprocket

Pitch Circle Diameter of Sprocket

Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the centers of the sprocket's teeth.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Sprocket

Speed of Chain Drive Shaft in RPM

Speed of Chain Drive Shaft in RPM is the number of revolutions the shaft completes in one minute. It indicates the rotational speed at which the chain drive operates.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed of Chain Drive Shaft in RPM

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Polygonal Effect category

Go Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket

D = v s \cdot \frac{60}{π \cdot N}

Go Speed of Rotation of Shaft given Linear Velocity of Sprocket

N = v s \cdot \frac{60}{π \cdot D}

Go Minimum Linear Velocity of Sprocket

v min = π \cdot D \cdot N \cdot \frac{\cos (\frac{α}{2})}{60}

Go Diameter of Pitch Circle of Sprocket given Minimum Linear Velocity of Sprocket

D = v min \cdot \frac{60}{π \cdot N \cdot \cos (\frac{α}{2})}

How to Evaluate Linear Velocity of Sprocket?

Linear Velocity of Sprocket evaluator uses Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60 to evaluate the Linear Velocity of Sprocket, Linear Velocity of Sprocket formula is defined as a measure of the rotational speed of a sprocket, which is a critical component in mechanical systems, particularly in power transmission and conveyor belt systems, where it plays a vital role in determining the efficiency and performance of the entire system. Linear Velocity of Sprocket is denoted by v_s symbol.

How to evaluate Linear Velocity of Sprocket using this online evaluator? To use this online evaluator for Linear Velocity of Sprocket, enter Pitch Circle Diameter of Sprocket (D) & Speed of Chain Drive Shaft in RPM (N) and hit the calculate button.

FAQs on Linear Velocity of Sprocket

What is the formula to find Linear Velocity of Sprocket?

The formula of Linear Velocity of Sprocket is expressed as Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60. Here is an example- 4.299924 = pi*0.1642479*500/60.

How to calculate Linear Velocity of Sprocket?

With Pitch Circle Diameter of Sprocket (D) & Speed of Chain Drive Shaft in RPM (N) we can find Linear Velocity of Sprocket using the formula - Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of Chain Drive Shaft in RPM/60. This formula also uses Archimedes' constant .

Can the Linear Velocity of Sprocket be negative?

No, the Linear Velocity of Sprocket, measured in Speed cannot be negative.

Which unit is used to measure Linear Velocity of Sprocket?

Linear Velocity of Sprocket is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Linear Velocity of Sprocket can be measured.

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Linear Velocity of Sprocket Formula

Linear Velocity of Sprocket Example

Linear Velocity of Sprocket Solution

Linear Velocity of Sprocket Formula Elements

Other formulas in Polygonal Effect category

How to Evaluate Linear Velocity of Sprocket?

FAQs on Linear Velocity of Sprocket

Variable Name