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Relation between Pitch and Pitch Circle Diameter of Chain Drive Formula

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The Pitch Circle Diameter of Gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured. Check FAQs

d p = P c \cdot \cos e c (\frac{180 \cdot \frac{π}{180}}{t s})

d_p - Pitch Circle Diameter of Gear?P_c - Pitch of Chain Drive?t_s - Number of Teeth on Sprocket?π - Archimedes' constant?

Relation between Pitch and Pitch Circle Diameter of Chain Drive Example

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Here is how the Relation between Pitch and Pitch Circle Diameter of Chain Drive equation looks like with Values.

Here is how the Relation between Pitch and Pitch Circle Diameter of Chain Drive equation looks like with Units.

Here is how the Relation between Pitch and Pitch Circle Diameter of Chain Drive equation looks like.

0.4783 = 0.05 \cdot \cos e c (\frac{180 \cdot \frac{3.1416}{180}}{30})

0.4783m = 0.05m \cdot \cos e c (\frac{180 \cdot \frac{3.1416}{180}}{30})

0.4783 = 0.05 \cdot \cos e c (\frac{180 \cdot \frac{3.1416}{180}}{30})

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Relation between Pitch and Pitch Circle Diameter of Chain Drive Solution

Follow our step by step solution on how to calculate Relation between Pitch and Pitch Circle Diameter of Chain Drive?

FIRST Step Consider the formula

d p = P c \cdot \cos e c (\frac{180 \cdot \frac{π}{180}}{t s})

Next Step Substitute values of Variables

∴

d p = 0.05m \cdot \cos e c (\frac{180 \cdot \frac{π}{180}}{30})

Next Step Substitute values of Constants

∴

d p = 0.05m \cdot \cos e c (\frac{180 \cdot \frac{3.1416}{180}}{30})

Next Step Prepare to Evaluate

∴

d p = 0.05 \cdot \cos e c (\frac{180 \cdot \frac{3.1416}{180}}{30})

Next Step Evaluate

∴

d p = 0.478338611675281m

LAST Step Rounding Answer

∴

d p = 0.4783m

Relation between Pitch and Pitch Circle Diameter of Chain Drive Formula Elements

Variables

Constants

Functions

Pitch Circle Diameter of Gear

The Pitch Circle Diameter of Gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.

Symbol: d_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pitch Circle Diameter of Gear

Pitch of Chain Drive

Pitch of chain drive is the distance between regularly spaced objects such as the distance between two regular threads.

Symbol: P_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pitch of Chain Drive

Number of Teeth on Sprocket

Number of Teeth on Sprocket is the count of the number of teeth on the sprockets.

Symbol: t_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Teeth on Sprocket

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

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Other formulas in Belt Drive category

Go Power Transmitted by Belt

P = (T 1 - T 2) \cdot v

Go Torque Exerted on Driving Pulley

τ = (T 1 - T 2) \cdot \frac{d d}{2}

Go Torque Exerted on Driven Pulley

τ = (T 1 - T 2) \cdot \frac{d f}{2}

Go Total Percentage Slip in Belt

s = s 1 + s 2

How to Evaluate Relation between Pitch and Pitch Circle Diameter of Chain Drive?

Relation between Pitch and Pitch Circle Diameter of Chain Drive evaluator uses Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket) to evaluate the Pitch Circle Diameter of Gear, Relation between Pitch and Pitch Circle Diameter of Chain Drive formula is defined as a mathematical relationship that establishes a connection between the pitch of a chain drive and its pitch circle diameter, providing a crucial parameter for designing and analyzing chain drive systems in mechanical engineering applications. Pitch Circle Diameter of Gear is denoted by d_p symbol.

How to evaluate Relation between Pitch and Pitch Circle Diameter of Chain Drive using this online evaluator? To use this online evaluator for Relation between Pitch and Pitch Circle Diameter of Chain Drive, enter Pitch of Chain Drive (P_c) & Number of Teeth on Sprocket (t_s) and hit the calculate button.

FAQs on Relation between Pitch and Pitch Circle Diameter of Chain Drive

What is the formula to find Relation between Pitch and Pitch Circle Diameter of Chain Drive?

The formula of Relation between Pitch and Pitch Circle Diameter of Chain Drive is expressed as Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket). Here is an example- 0.478339 = 0.05*cosec((180*pi/180)/30).

How to calculate Relation between Pitch and Pitch Circle Diameter of Chain Drive?

With Pitch of Chain Drive (P_c) & Number of Teeth on Sprocket (t_s) we can find Relation between Pitch and Pitch Circle Diameter of Chain Drive using the formula - Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket). This formula also uses Archimedes' constant and , Secant (sec), Cosecant (cosec) function(s).

Can the Relation between Pitch and Pitch Circle Diameter of Chain Drive be negative?

No, the Relation between Pitch and Pitch Circle Diameter of Chain Drive, measured in Length cannot be negative.

Which unit is used to measure Relation between Pitch and Pitch Circle Diameter of Chain Drive?

Relation between Pitch and Pitch Circle Diameter of Chain Drive is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Relation between Pitch and Pitch Circle Diameter of Chain Drive can be measured.

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Relation between Pitch and Pitch Circle Diameter of Chain Drive Formula

Relation between Pitch and Pitch Circle Diameter of Chain Drive Example

Relation between Pitch and Pitch Circle Diameter of Chain Drive Solution

Relation between Pitch and Pitch Circle Diameter of Chain Drive Formula Elements

Other formulas in Belt Drive category

How to Evaluate Relation between Pitch and Pitch Circle Diameter of Chain Drive?

FAQs on Relation between Pitch and Pitch Circle Diameter of Chain Drive

Variable Name