Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
αB = G*αA
This formula uses 3 Variables
Variables Used
Angular Acceleration of Shaft B - 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.
Gear Ratio - The Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion.
Angular Acceleration of Shaft A - 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.
STEP 1: Convert Input(s) to Base Unit
Gear Ratio: 3 --> No Conversion Required
Angular Acceleration of Shaft A: 25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αB = G*αA --> 3*25
Evaluating ... ...
αB = 75
STEP 3: Convert Result to Output's Unit
75 --> No Conversion Required
FINAL ANSWER
75 <-- Angular Acceleration of Shaft B
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

17 Kinetics Calculators

Loss of Kinetic Energy during Perfectly Inelastic Collision
Go Loss of K.E During Perfectly Inelastic Collision = (Mass of Body A*Mass of Body B*(Initial Velocity of Body A Before the Collision-Initial Velocity of Body B Before the Collision)^2)/(2*(Mass of Body A+Mass of Body B))
Final Velocity of Bodies A and B after Inelastic Collision
Go Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B)
Coefficient of Restitution
Go Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision)
Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B
Go Equivalent Mass MOI of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency
Kinetic Energy of System after Inelastic Collision
Go Kinetic Energy of System After Inelastic Collision = ((Mass of Body A+Mass of Body B)*Final Speed of A and B After Inelastic Collision^2)/2
Impulsive Force
Go Impulsive Force = (Mass*(Final Velocity-Initial Velocity))/Time Taken to Travel
Loss of Kinetic Energy during Imperfect Elastic Impact
Go Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2)
Speed of Guide Pulley
Go Speed of Guide Pulley = Speed of Drum Pulley*Diameter of Drum Pulley/Diameter of Guide Pulley
Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature
Go Centripetal Force = Mass*Angular Velocity^2*Radius of Curvature
Total Kinetic Energy of Geared System
Go Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2
Overall Efficiency from Shaft A to X
Go Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs
Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A
Go Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
Gear Ratio when Two Shafts A and B are Geared Together
Go Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM
Angular Velocity given Speed in RPM
Go Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60
Efficiency of Machine
Go Gear Efficiency = Output Power/Input Power
Power Loss
Go Power Loss = Input Power-Output Power
Impulse
Go Impulse = Force*Time Taken to Travel

Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A Formula

Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
αB = G*αA

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 given Gear Ratio and Angular Acceleration of Shaft A?

Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A 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 given Gear Ratio and Angular Acceleration of Shaft A is equal to G times the rate of change of angular speed of shaft A w.r.t time. Angular Acceleration of Shaft B is denoted by αB symbol.

How to calculate Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A using this online calculator? To use this online calculator for Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A, enter Gear Ratio (G) & Angular Acceleration of Shaft A A) and hit the calculate button. Here is how the Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A calculation can be explained with given input values -> 75 = 3*25.

FAQ

What is Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A?
Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A is equal to G times the rate of change of angular speed of shaft A w.r.t time and is represented as αB = G*αA or Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A. The Gear Ratio is the ratio of output gear speed to the input gear speed or the ratio of number of teeth on gear to that on the pinion & 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 given Gear Ratio and Angular Acceleration of Shaft A?
Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A 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 given Gear Ratio and Angular Acceleration of Shaft A, you need Gear Ratio (G) & Angular Acceleration of Shaft A A). With our tool, you need to enter the respective value for Gear Ratio & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!