Total Kinetic Energy of Geared System Calculator

✖Equivalent Mass MOI of Geared System with Shaft A and B, is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.ⓘ Equivalent Mass MOI of Geared System [I]			+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%

✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.ⓘ Total Kinetic Energy of Geared System [KE]

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Formula

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Total Kinetic Energy of Geared System

Formula

`"KE" = ("I"*"α"_{"A"}^2)/2`

Example

`"15625J"=("50kg·m²"*("25")^2)/2`

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Total Kinetic Energy of Geared System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2
KE = (I*α_A^2)/2
This formula uses 3 Variables

Variables Used

Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
Equivalent Mass MOI of Geared System - (Measured in Kilogram Square Meter) - Equivalent Mass MOI of Geared System with Shaft A and B, is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.
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

Equivalent Mass MOI of Geared System: 50 Kilogram Square Meter --> 50 Kilogram Square Meter No Conversion Required
Angular Acceleration of Shaft A: 25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE = (I*α_A^2)/2 --> (50*25^2)/2

Evaluating ... ...

KE = 15625

STEP 3: Convert Result to Output's Unit

15625 Joule --> No Conversion Required

FINAL ANSWER

15625 Joule <-- Kinetic Energy

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 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

Total Kinetic Energy of Geared System Formula

Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2
KE = (I*α_A^2)/2

What is kinetic energy?

In physics, the kinetic energy (KE) of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

How to Calculate Total Kinetic Energy of Geared System?

Total Kinetic Energy of Geared System calculator uses Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2 to calculate the Kinetic Energy, The total kinetic energy of geared system is equal to the sum of the kinetic energies resulting from each type of motion. Kinetic Energy is denoted by KE symbol.

How to calculate Total Kinetic Energy of Geared System using this online calculator? To use this online calculator for Total Kinetic Energy of Geared System, enter Equivalent Mass MOI of Geared System (I) & Angular Acceleration of Shaft A (α_A) and hit the calculate button. Here is how the Total Kinetic Energy of Geared System calculation can be explained with given input values -> 15625 = (50*25^2)/2.

FAQ

What is Total Kinetic Energy of Geared System?

The total kinetic energy of geared system is equal to the sum of the kinetic energies resulting from each type of motion and is represented as KE = (I*α_A^2)/2 or Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2. Equivalent Mass MOI of Geared System with Shaft A and B, is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis & 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 Total Kinetic Energy of Geared System?

The total kinetic energy of geared system is equal to the sum of the kinetic energies resulting from each type of motion is calculated using Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2. To calculate Total Kinetic Energy of Geared System, you need Equivalent Mass MOI of Geared System (I) & Angular Acceleration of Shaft A (α_A). With our tool, you need to enter the respective value for Equivalent Mass MOI of Geared System & 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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