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Pitch Circle Diameter When the Average Velocity of the Chain is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
pitch_circle_diameter = Average Chain Velocity*60000/(pi*Speed of Shaft)
D = v*60000/(pi*n)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Average Chain Velocity - Average Chain Velocity is the average velocity of the chain that is used in the chain drives. (Measured in Meter per Second)
Speed of Shaft - Speed of Shaft is the speed at which a general shaft rotates. (Measured in Revolution per Minute)
STEP 1: Convert Input(s) to Base Unit
Average Chain Velocity: 50 Meter per Second --> 50 Meter per Second No Conversion Required
Speed of Shaft: 50 Revolution per Minute --> 0.833333333333333 Hertz (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = v*60000/(pi*n) --> 50*60000/(pi*0.833333333333333)
Evaluating ... ...
D = 1145915.59026165
STEP 3: Convert Result to Output's Unit
1145915.59026165 Meter -->1145915590.26165 Millimeter (Check conversion here)
FINAL ANSWER
1145915590.26165 Millimeter <-- Pitch Circle Diameter
(Calculation completed in 00.016 seconds)

10+ Design of Chain Drives Calculators

Number of Teeth on the Sprocket When Pitch Circle Diameter is Given
number_of_teeth = 180*(pi/180)*asin(Pitch Circle Diameter/Pitch) Go
Velocity Ratio of the Chain Drives
velocity_ratio = Angular speed of the driving member in rpm/Angular speed of the driven member in rpm Go
Number of Teeth on the Driven Sprocket When Velocity of the Chain Drives is Given
number_of_teeth_on_driven_sprocket = Number of Teeth on Driving Sprocket*Velocity ratio Go
Number of Teeth on Driving Sprocket When Velocity of the Chain Drives is Given
number_of_teeth_on_driving_sprocket = Number of Teeth on Driven Sprocket/Velocity ratio Go
Speed of Rotation of the Driving Shaft When Velocity Ratio of the Chain Drives is Given
angular_speed_driving_rpm = Velocity ratio*Angular speed of the driven member in rpm Go
Speed of Rotation of the Driven Shaft When Velocity Ratio of the Chain Drives is Given
angular_speed_driven_rpm = Angular speed of the driving member in rpm/Velocity ratio Go
Length of the Pitch When Pitch Circle Diameter is Given
pitch = Pitch Circle Diameter*sin(180/Number of teeth) Go
Pitch Circle Diameter in terms of Pitch
pitch_circle_diameter = Pitch/sin(180/Number of teeth) Go
Pitch Angle of the Sprocket
pitch_angle = 2*3.14/Number of teeth Go
Number of Teeth on the Sprocket When Pitch Angle of the Sprocket is Given
number_of_teeth = 360/Pitch Angle Go

Pitch Circle Diameter When the Average Velocity of the Chain is Given Formula

pitch_circle_diameter = Average Chain Velocity*60000/(pi*Speed of Shaft)
D = v*60000/(pi*n)

Define Chain Drives?

Chain drive is a way of transmitting mechanical power from one place to another. It is often used to convey power to the wheels of a vehicle, particularly bicycles and motorcycles. It is also used in a wide variety of machines besides vehicles.

How to Calculate Pitch Circle Diameter When the Average Velocity of the Chain is Given?

Pitch Circle Diameter When the Average Velocity of the Chain is Given calculator uses pitch_circle_diameter = Average Chain Velocity*60000/(pi*Speed of Shaft) to calculate the Pitch Circle Diameter, The Pitch Circle Diameter When the Average Velocity of the Chain is Given 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 and is denoted by D symbol.

How to calculate Pitch Circle Diameter When the Average Velocity of the Chain is Given using this online calculator? To use this online calculator for Pitch Circle Diameter When the Average Velocity of the Chain is Given, enter Average Chain Velocity (v) and Speed of Shaft (n) and hit the calculate button. Here is how the Pitch Circle Diameter When the Average Velocity of the Chain is Given calculation can be explained with given input values -> 1.146E+9 = 50*60000/(pi*0.833333333333333).

FAQ

What is Pitch Circle Diameter When the Average Velocity of the Chain is Given?
The Pitch Circle Diameter When the Average Velocity of the Chain is Given 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*60000/(pi*n) or pitch_circle_diameter = Average Chain Velocity*60000/(pi*Speed of Shaft). Average Chain Velocity is the average velocity of the chain that is used in the chain drives and Speed of Shaft is the speed at which a general shaft rotates.
How to calculate Pitch Circle Diameter When the Average Velocity of the Chain is Given?
The Pitch Circle Diameter When the Average Velocity of the Chain is Given 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 = Average Chain Velocity*60000/(pi*Speed of Shaft). To calculate Pitch Circle Diameter When the Average Velocity of the Chain is Given, you need Average Chain Velocity (v) and Speed of Shaft (n). With our tool, you need to enter the respective value for Average Chain Velocity and Speed of Shaft 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?
In this formula, Pitch Circle Diameter uses Average Chain Velocity and Speed of Shaft. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • pitch_angle = 2*3.14/Number of teeth
  • number_of_teeth = 360/Pitch Angle
  • pitch_circle_diameter = Pitch/sin(180/Number of teeth)
  • pitch = Pitch Circle Diameter*sin(180/Number of teeth)
  • number_of_teeth = 180*(pi/180)*asin(Pitch Circle Diameter/Pitch)
  • velocity_ratio = Angular speed of the driving member in rpm/Angular speed of the driven member in rpm
  • angular_speed_driving_rpm = Velocity ratio*Angular speed of the driven member in rpm
  • angular_speed_driven_rpm = Angular speed of the driving member in rpm/Velocity ratio
  • number_of_teeth_on_driving_sprocket = Number of Teeth on Driven Sprocket/Velocity ratio
  • number_of_teeth_on_driven_sprocket = Number of Teeth on Driving Sprocket*Velocity ratio
Where is the Pitch Circle Diameter When the Average Velocity of the Chain is Given calculator used?
Among many, Pitch Circle Diameter When the Average Velocity of the Chain is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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