Loss of Kinetic Energy during Imperfect Elastic Impact Solution

STEP 0: Pre-Calculation Summary
Formula Used
Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2)
EL elastic = EL inelastic*(1-e^2)
This formula uses 3 Variables
Variables Used
Loss of Kinetic Energy During an Elastic Collision - (Measured in Joule) - Loss of kinetic energy during an elastic collision is energy lost in an imperfect elastic collision.
Loss of K.E During Perfectly Inelastic Collision - (Measured in Joule) - Loss of K.E during perfectly inelastic collision, in this type of collision, the objects involved in the collisions do not stick, but some kinetic energy is still lost.
Coefficient of Restitution - The coefficient of restitution, also denoted by (e), is the ratio of the final to initial relative velocity between two objects after they collide.
STEP 1: Convert Input(s) to Base Unit
Loss of K.E During Perfectly Inelastic Collision: 16 Joule --> 16 Joule No Conversion Required
Coefficient of Restitution: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EL elastic = EL inelastic*(1-e^2) --> 16*(1-0.5^2)
Evaluating ... ...
EL elastic = 12
STEP 3: Convert Result to Output's Unit
12 Joule --> No Conversion Required
FINAL ANSWER
12 Joule <-- Loss of Kinetic Energy During an Elastic Collision
(Calculation completed in 00.004 seconds)

Credits

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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

Loss of Kinetic Energy during Imperfect Elastic Impact Formula

Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2)
EL elastic = EL inelastic*(1-e^2)

What is Elastic collision?

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.

How to Calculate Loss of Kinetic Energy during Imperfect Elastic Impact?

Loss of Kinetic Energy during Imperfect Elastic Impact calculator uses Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2) to calculate the Loss of Kinetic Energy During an Elastic Collision, Loss of kinetic energy during imperfect elastic impact, in this kinetic energy is changed to some other form of energy in the collision. Loss of Kinetic Energy During an Elastic Collision is denoted by EL elastic symbol.

How to calculate Loss of Kinetic Energy during Imperfect Elastic Impact using this online calculator? To use this online calculator for Loss of Kinetic Energy during Imperfect Elastic Impact, enter Loss of K.E During Perfectly Inelastic Collision (EL inelastic) & Coefficient of Restitution (e) and hit the calculate button. Here is how the Loss of Kinetic Energy during Imperfect Elastic Impact calculation can be explained with given input values -> 12 = 16*(1-0.5^2).

FAQ

What is Loss of Kinetic Energy during Imperfect Elastic Impact?
Loss of kinetic energy during imperfect elastic impact, in this kinetic energy is changed to some other form of energy in the collision and is represented as EL elastic = EL inelastic*(1-e^2) or Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2). Loss of K.E during perfectly inelastic collision, in this type of collision, the objects involved in the collisions do not stick, but some kinetic energy is still lost & The coefficient of restitution, also denoted by (e), is the ratio of the final to initial relative velocity between two objects after they collide.
How to calculate Loss of Kinetic Energy during Imperfect Elastic Impact?
Loss of kinetic energy during imperfect elastic impact, in this kinetic energy is changed to some other form of energy in the collision is calculated using Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2). To calculate Loss of Kinetic Energy during Imperfect Elastic Impact, you need Loss of K.E During Perfectly Inelastic Collision (EL inelastic) & Coefficient of Restitution (e). With our tool, you need to enter the respective value for Loss of K.E During Perfectly Inelastic Collision & Coefficient of Restitution 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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