Relation between Pitch and Pitch Circle Diameter of Chain Drive Calculator

✖Pitch of chain drive is the distance between regularly spaced objects such as the distance between two regular threads.ⓘ Pitch of Chain Drive [P_c]			+10% -10%
✖Number of Teeth on Sprocket is the count of the number of teeth on the sprockets.ⓘ Number of Teeth on Sprocket [t_s]			+10% -10%

✖The Pitch Circle Diameter of Gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.ⓘ Relation between Pitch and Pitch Circle Diameter of Chain Drive [d_p]

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Relation between Pitch and Pitch Circle Diameter of Chain Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)
d_p = P_c*cosec((180*pi/180)/t_s)
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)

Variables Used

Pitch Circle Diameter of Gear - (Measured in Meter) - The Pitch Circle Diameter of Gear is an imaginary circle concentric to a toothed wheel, along which the pitch of the teeth is measured.
Pitch of Chain Drive - (Measured in Meter) - Pitch of chain drive is the distance between regularly spaced objects such as the distance between two regular threads.
Number of Teeth on Sprocket - Number of Teeth on Sprocket is the count of the number of teeth on the sprockets.

STEP 1: Convert Input(s) to Base Unit

Pitch of Chain Drive: 0.05 Meter --> 0.05 Meter No Conversion Required
Number of Teeth on Sprocket: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_p = P_c*cosec((180*pi/180)/t_s) --> 0.05*cosec((180*pi/180)/30)

Evaluating ... ...

d_p = 0.478338611675281

STEP 3: Convert Result to Output's Unit

0.478338611675281 Meter --> No Conversion Required

FINAL ANSWER

0.478338611675281 ≈ 0.478339 Meter <-- Pitch Circle Diameter of Gear

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Belt Drive Calculators

Relation between Pitch and Pitch Circle Diameter of Chain Drive

LaTeX Go Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)

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Relation between Pitch and Pitch Circle Diameter of Chain Drive Formula

LaTeX Go

Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket)
d_p = P_c*cosec((180*pi/180)/t_s)

What is the pitch of a roller chain?

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

Relation between Pitch and Pitch Circle Diameter of Chain Drive calculator uses Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket) to calculate 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 calculate Relation between Pitch and Pitch Circle Diameter of Chain Drive using this online calculator? To use this online calculator 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. Here is how the Relation between Pitch and Pitch Circle Diameter of Chain Drive calculation can be explained with given input values -> 0.478339 = 0.05*cosec((180*pi/180)/30).

FAQ

What is Relation between Pitch and Pitch Circle Diameter of Chain Drive?

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 and is represented as d_p = P_c*cosec((180*pi/180)/t_s) or Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket). Pitch of chain drive is the distance between regularly spaced objects such as the distance between two regular threads & Number of Teeth on Sprocket is the count of the number of teeth on the sprockets.

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

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 is calculated using Pitch Circle Diameter of Gear = Pitch of Chain Drive*cosec((180*pi/180)/Number of Teeth on Sprocket). To calculate Relation between Pitch and Pitch Circle Diameter of Chain Drive, you need Pitch of Chain Drive (P_c) & Number of Teeth on Sprocket (t_s). With our tool, you need to enter the respective value for Pitch of Chain Drive & 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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