Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket)
N = (v*60)/(pi*D)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Speed of Chain Drive Shaft in RPM - Speed of Chain Drive Shaft in RPM is the rotational speed of the shaft that transmits power to the chain drive mechanism in a geometric system.
Average Chain Velocity - (Measured in Meter per Second) - Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system.
Pitch Circle Diameter of Sprocket - (Measured in Meter) - Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the center of the sprocket's teeth in a chain drive system.
STEP 1: Convert Input(s) to Base Unit
Average Chain Velocity: 4.2 Meter per Second --> 4.2 Meter per Second No Conversion Required
Pitch Circle Diameter of Sprocket: 167.3 Millimeter --> 0.1673 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = (v*60)/(pi*D) --> (4.2*60)/(pi*0.1673)
Evaluating ... ...
N = 479.462590067634
STEP 3: Convert Result to Output's Unit
479.462590067634 --> No Conversion Required
FINAL ANSWER
479.462590067634 479.4626 <-- Speed of Chain Drive Shaft in RPM
(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Geometric Relationships for Chain Calculators

Pitch of chain given Pitch Circle Diameter
​ LaTeX ​ Go Pitch of Chain = Pitch Circle Diameter of Sprocket*sin(3.035/Number of Teeth on Sprocket)
Number of Teeth on Sprocket given Pitch Circle Diameter
​ LaTeX ​ Go Number of Teeth on Sprocket = 180*asin(Pitch of Chain/Pitch Circle Diameter of Sprocket)
Speed of Rotation of Driving Shaft given Velocity Ratio of Chain Drives
​ LaTeX ​ Go Angular Speed of Chain Driving Shaft = Velocity Ratio of Chain Drive*Angular Speed of Chain Driven Shaft
Velocity Ratio of Chain Drives
​ LaTeX ​ Go Velocity Ratio of Chain Drive = Angular Speed of Chain Driving Shaft/Angular Speed of Chain Driven Shaft

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity Formula

​LaTeX ​Go
Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket)
N = (v*60)/(pi*D)

What is Driving Shaft?

A driving shaft is the component in a mechanical system that transmits power from the engine or motor to other parts of the system. It rotates and delivers torque and rotational motion to driven components such as gears, sprockets, or wheels. The driving shaft is essential for transferring energy efficiently within the machinery or vehicle.

How to Calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?

Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity calculator uses Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket) to calculate the Speed of Chain Drive Shaft in RPM, Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity formula is defined as a measure of the rotational speed of the driving and driven shafts in a mechanical system, which is critical in determining the efficiency and performance of the system, particularly in power transmission applications. Speed of Chain Drive Shaft in RPM is denoted by N symbol.

How to calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity using this online calculator? To use this online calculator for Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity, enter Average Chain Velocity (v) & Pitch Circle Diameter of Sprocket (D) and hit the calculate button. Here is how the Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity calculation can be explained with given input values -> 479.4626 = (4.2*60)/(pi*0.1673).

FAQ

What is Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?
Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity formula is defined as a measure of the rotational speed of the driving and driven shafts in a mechanical system, which is critical in determining the efficiency and performance of the system, particularly in power transmission applications and is represented as N = (v*60)/(pi*D) or Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket). Average Chain Velocity is the velocity of a chain at a specific point, describing the rate of movement of the chain in a geometric system & Pitch Circle Diameter of Sprocket is the diameter of the circle that passes through the center of the sprocket's teeth in a chain drive system.
How to calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity?
Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity formula is defined as a measure of the rotational speed of the driving and driven shafts in a mechanical system, which is critical in determining the efficiency and performance of the system, particularly in power transmission applications is calculated using Speed of Chain Drive Shaft in RPM = (Average Chain Velocity*60)/(pi*Pitch Circle Diameter of Sprocket). To calculate Speed of Rotations of Driving and Driven Shafts given Average Chain Velocity, you need Average Chain Velocity (v) & Pitch Circle Diameter of Sprocket (D). With our tool, you need to enter the respective value for Average Chain Velocity & Pitch Circle Diameter of 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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