Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known Calculator

Category	Physics ↺
Physics	Theory of Machine ↺
Theory-Of-Machine	Kinetics of Motion ↺

✖The Gear Ratio is calculated by dividing the output speed by the input speed ⓘ Gear Ratio [G]			+10% -10%
✖The Angular Acceleration of Shaft A is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.ⓘ Angular Acceleration of Shaft A [α_A]			+10% -10%

✖The Angular Acceleration of Shaft B is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.ⓘ Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known [α_B]

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Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 200+ more calculators!

< 8 Other formulas that you can solve using the same Inputs

Equivalent Mass Moment of Inertia of geared system with shaft A and shaft B

Equivalent Mass Moment of Inertia of geared system with shaft A and shaft B=Mass Moment of Inertia of the mass attached to shaft A+(((Gear Ratio^2)*(Mass Moment of Inertia of the mass attached to shaft B))/Gear Efficiency) GO

Total Torque applied to shaft A to accelerate the geared system

Total Torque=(Mass Moment of Inertia of the mass attached to shaft A+((Gear Ratio^2)*Mass Moment of Inertia of the mass attached to shaft B))*Angular Acceleration of Shaft A GO

Torque on Shaft A to Accelerate Shaft B When Gear Efficiency is Given

Torque applied on shaft A to accelerate shaft B =((Gear Ratio)*(Mass Moment of Inertia of the mass attached to shaft B)*(Angular Acceleration of Shaft A))/Gear Efficiency GO

Torque on Shaft A to Accelerate Shaft B

Torque applied on shaft A to accelerate shaft B =(Gear Ratio^2)*(Mass Moment of Inertia of the mass attached to shaft B)*(Angular Acceleration of Shaft A) GO

Torque on Shaft B to Accelerate Itself when Gear Ratio is Given

Torque required on shaft B to accelerate itself =Gear Ratio*Mass Moment of Inertia of the mass attached to shaft B*Angular Acceleration of Shaft A GO

Torque required on shaft A to accelerate itself if M.I of A and angular acceleration of shaft A are given

Torque required on shaft A to accelerate itself =Mass Moment of Inertia of the mass attached to shaft A*Angular Acceleration of Shaft A GO

Total Kinetic Energy of the geared system

Kinetic Energy=(Equivalent Mass Moment of Inertia of geared system with shaft A and shaft B*(Angular Acceleration of Shaft A)^2)/2 GO

Minimum number of teeth on the pinion in order to avoid interference

Number of teeth on the pinion=(2*Addendum of the pinion)/((sqrt(1+(Gear Ratio*(Gear Ratio+2)*(sin(Pressure angle))^2)))-1) GO

Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known Formula

Angular Acceleration of Shaft B=Gear Ratio*Angular Acceleration of Shaft A

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What is angular acceleration?

The angular acceleration is the time rate of change of the angular velocity and is usually designated by α and expressed in radians per second per second.

How to Calculate Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known?

Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known calculator uses Angular Acceleration of Shaft B=Gear Ratio*Angular Acceleration of Shaft A to calculate the Angular Acceleration of Shaft B, Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known ,is equal to G times the rate of change of angular speed of shaft A w.r.t time. Angular Acceleration of Shaft B and is denoted by α_B symbol.

How to calculate Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known using this online calculator? To use this online calculator for Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known, enter Gear Ratio (G) and Angular Acceleration of Shaft A (α_A) and hit the calculate button. Here is how the Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known calculation can be explained with given input values -> 75 = 3*1432.39448782706.

FAQ

What is Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known?

Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known ,is equal to G times the rate of change of angular speed of shaft A w.r.t time and is represented as α_B=G*α_A or Angular Acceleration of Shaft B=Gear Ratio*Angular Acceleration of Shaft A. The Gear Ratio is calculated by dividing the output speed by the input speed and The Angular Acceleration of Shaft A is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.

How to calculate Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known?

Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known ,is equal to G times the rate of change of angular speed of shaft A w.r.t time is calculated using Angular Acceleration of Shaft B=Gear Ratio*Angular Acceleration of Shaft A. To calculate Angular acceleration of shaft B if gear ratio and angular acceleration of shaft A is known, you need Gear Ratio (G) and Angular Acceleration of Shaft A (α_A). With our tool, you need to enter the respective value for Gear Ratio and Angular Acceleration of Shaft A 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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