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Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of shaft in rpm)
D = v*60/(pi*n)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Linear Velocity of Sprocket - linear Velocity of Sprocket is the velocity of the speed in the linear direction, not its angular speed. (Measured in Meter per Second)
Speed of shaft in rpm- Speed of shaft in rpm is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.
STEP 1: Convert Input(s) to Base Unit
Linear Velocity of Sprocket: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required
Speed of shaft in rpm: 500 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = v*60/(pi*n) --> 1.5*60/(pi*500)
Evaluating ... ...
D = 0.0572957795130823
STEP 3: Convert Result to Output's Unit
0.0572957795130823 Meter -->57.2957795130823 Millimeter (Check conversion here)
FINAL ANSWER
57.2957795130823 Millimeter <-- Pitch Circle Diameter of Sprocket
(Calculation completed in 00.000 seconds)

6 Polygonal Effect Calculators

Diameter of Pitch Circle of Sprocket given Minimum Linear Velocity of Sprocket
Pitch Circle Diameter of Sprocket = Minimum Linear Velocity*60/(pi*Speed of shaft in rpm*cos(Pitch Angle/2)) Go
Speed of Rotation of Shaft given Minimum Linear Velocity of Sprocket
Speed of shaft in rpm = 60*Minimum Linear Velocity/(Pitch Circle Diameter of Sprocket*pi*cos(Pitch Angle/2)) Go
Minimum Linear Velocity of Sprocket
Minimum Linear Velocity = pi*Pitch Circle Diameter of Sprocket*Speed of shaft in rpm*cos(Pitch Angle/2)/60 Go
Speed of Rotation of Shaft given Linear Velocity of Sprocket
Speed of shaft in rpm = Linear Velocity of Sprocket*60000/pi*Pitch Circle Diameter of Sprocket Go
Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket
Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of shaft in rpm) Go
Linear Velocity of Sprocket
Linear Velocity of Sprocket = pi*Pitch Circle Diameter of Sprocket*Speed of shaft in rpm/60 Go

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket Formula

Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of shaft in rpm)
D = v*60/(pi*n)

Define Linear velocity?

Linear velocity is the measure of “the rate of change of displacement with respect to time when the object moves along a straight path.”

How to Calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?

Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket calculator uses Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of shaft in rpm) to calculate the Pitch Circle Diameter of Sprocket, The Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes. Pitch Circle Diameter of Sprocket is denoted by D symbol.

How to calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket using this online calculator? To use this online calculator for Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket, enter Linear Velocity of Sprocket (v) & Speed of shaft in rpm (n) and hit the calculate button. Here is how the Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket calculation can be explained with given input values -> 57.29578 = 1.5*60/(pi*500).

FAQ

What is Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?
The Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes and is represented as D = v*60/(pi*n) or Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of shaft in rpm). linear Velocity of Sprocket is the velocity of the speed in the linear direction, not its angular speed & Speed of shaft in rpm is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.
How to calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket?
The Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket formula is defined as the diameter of the circle which passes through the centre of all the studs, wheel bolts or wheel rim holes is calculated using Pitch Circle Diameter of Sprocket = Linear Velocity of Sprocket*60/(pi*Speed of shaft in rpm). To calculate Pitch Circle Diameter of Sprocket given Linear Velocity of Sprocket, you need Linear Velocity of Sprocket (v) & Speed of shaft in rpm (n). With our tool, you need to enter the respective value for Linear Velocity of Sprocket & Speed of 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 Pitch Circle Diameter of Sprocket?
In this formula, Pitch Circle Diameter of Sprocket uses Linear Velocity of Sprocket & Speed of shaft in rpm. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pitch Circle Diameter of Sprocket = Minimum Linear Velocity*60/(pi*Speed of shaft in rpm*cos(Pitch Angle/2))
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