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## Credits

Osmania University (OU), Hyderabad
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## Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
speed_of_shaft = Average Chain Velocity*60000/(pi*Pitch Circle Diameter)
n = v*60000/(pi*D)
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)
Pitch Circle Diameter - Pitch Circle Diameter is the diameter of the pitch circle. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Average Chain Velocity: 50 Meter per Second --> 50 Meter per Second No Conversion Required
Pitch Circle Diameter: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = v*60000/(pi*D) --> 50*60000/(pi*1E-06)
Evaluating ... ...
n = 954929658551.372
STEP 3: Convert Result to Output's Unit
954929658551.372 Hertz -->57295779513082.3 Revolution per Minute (Check conversion here)
FINAL ANSWER
57295779513082.3 Revolution per Minute <-- Speed of Shaft
(Calculation completed in 00.010 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

### Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given Formula

speed_of_shaft = Average Chain Velocity*60000/(pi*Pitch Circle Diameter)
n = v*60000/(pi*D)

## 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 Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given?

Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given calculator uses speed_of_shaft = Average Chain Velocity*60000/(pi*Pitch Circle Diameter) to calculate the Speed of Shaft, The Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given formula is defined as the speed at which the given shaft is rotating. Speed of Shaft and is denoted by n symbol.

How to calculate Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given using this online calculator? To use this online calculator for Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given, enter Average Chain Velocity (v) and Pitch Circle Diameter (D) and hit the calculate button. Here is how the Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given calculation can be explained with given input values -> 5.730E+13 = 50*60000/(pi*1E-06).

### FAQ

What is Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given?
The Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given formula is defined as the speed at which the given shaft is rotating and is represented as n = v*60000/(pi*D) or speed_of_shaft = Average Chain Velocity*60000/(pi*Pitch Circle Diameter). Average Chain Velocity is the average velocity of the chain that is used in the chain drives and Pitch Circle Diameter is the diameter of the pitch circle.
How to calculate Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given?
The Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given formula is defined as the speed at which the given shaft is rotating is calculated using speed_of_shaft = Average Chain Velocity*60000/(pi*Pitch Circle Diameter). To calculate Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given, you need Average Chain Velocity (v) and Pitch Circle Diameter (D). With our tool, you need to enter the respective value for Average Chain Velocity and Pitch Circle Diameter 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 Speed of Shaft?
In this formula, Speed of Shaft uses Average Chain Velocity and Pitch Circle Diameter. 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 Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given calculator used?
Among many, Speed of Rotations of Driving and Driven Shafts When Average Chain Velocity is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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