Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Speed of Chain Driven Shaft = Angular Speed of Chain Driving Shaft/Velocity Ratio of Chain Drive
N2 = N1/i
This formula uses 3 Variables
Variables Used
Angular Speed of Chain Driven Shaft - (Measured in Hertz) - Angular Speed of Chain Driven Shaft is the rate of rotation of a chain driven shaft, which affects the overall performance of a mechanical system.
Angular Speed of Chain Driving Shaft - (Measured in Hertz) - Angular Speed of Chain Driving Shaft is the rate of rotation of the chain driving shaft, which is a critical component in mechanical systems.
Velocity Ratio of Chain Drive - Velocity Ratio of Chain Drive is the ratio of the number of teeth on the driving gear to the number of teeth on the driven gear.
STEP 1: Convert Input(s) to Base Unit
Angular Speed of Chain Driving Shaft: 1400 Revolution per Minute --> 23.3333333333333 Hertz (Check conversion ​here)
Velocity Ratio of Chain Drive: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N2 = N1/i --> 23.3333333333333/2
Evaluating ... ...
N2 = 11.6666666666667
STEP 3: Convert Result to Output's Unit
11.6666666666667 Hertz -->699.999999999999 Revolution per Minute (Check conversion ​here)
FINAL ANSWER
699.999999999999 700 Revolution per Minute <-- Angular Speed of Chain Driven Shaft
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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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 Rotation of Driven Shaft given Velocity Ratio of Chain Drives Formula

​LaTeX ​Go
Angular Speed of Chain Driven Shaft = Angular Speed of Chain Driving Shaft/Velocity Ratio of Chain Drive
N2 = N1/i

What is Velocity Ratio?

Velocity ratio, in the context of chain drives, is the ratio of the rotational speed of the driving sprocket to the rotational speed of the driven sprocket. It is determined by the number of teeth on the driving and driven sprockets. The velocity ratio indicates how speed and torque are transferred between the sprockets, influencing the overall performance of the system.

How to Calculate Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives?

Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives calculator uses Angular Speed of Chain Driven Shaft = Angular Speed of Chain Driving Shaft/Velocity Ratio of Chain Drive to calculate the Angular Speed of Chain Driven Shaft, Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives formula is defined as a measure of the rotational speed of the driven shaft in a chain drive system, which is dependent on the velocity ratio of the drive and the rotational speed of the driving shaft. Angular Speed of Chain Driven Shaft is denoted by N2 symbol.

How to calculate Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives using this online calculator? To use this online calculator for Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives, enter Angular Speed of Chain Driving Shaft (N1) & Velocity Ratio of Chain Drive (i) and hit the calculate button. Here is how the Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives calculation can be explained with given input values -> 42000 = 23.3333333333333/2.

FAQ

What is Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives?
Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives formula is defined as a measure of the rotational speed of the driven shaft in a chain drive system, which is dependent on the velocity ratio of the drive and the rotational speed of the driving shaft and is represented as N2 = N1/i or Angular Speed of Chain Driven Shaft = Angular Speed of Chain Driving Shaft/Velocity Ratio of Chain Drive. Angular Speed of Chain Driving Shaft is the rate of rotation of the chain driving shaft, which is a critical component in mechanical systems & Velocity Ratio of Chain Drive is the ratio of the number of teeth on the driving gear to the number of teeth on the driven gear.
How to calculate Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives?
Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives formula is defined as a measure of the rotational speed of the driven shaft in a chain drive system, which is dependent on the velocity ratio of the drive and the rotational speed of the driving shaft is calculated using Angular Speed of Chain Driven Shaft = Angular Speed of Chain Driving Shaft/Velocity Ratio of Chain Drive. To calculate Speed of Rotation of Driven Shaft given Velocity Ratio of Chain Drives, you need Angular Speed of Chain Driving Shaft (N1) & Velocity Ratio of Chain Drive (i). With our tool, you need to enter the respective value for Angular Speed of Chain Driving Shaft & Velocity Ratio of Chain Drive 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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