Coefficient of Restitution Calculator

✖Final Velocity of Body A After Elastic Collision is the velocity of body A after a perfectly elastic collision with another body.ⓘ Final Velocity of Body A After Elastic Collision [v₁]			+10% -10%
✖Final Velocity of Body B After Elastic Collision is the velocity of body B after a perfectly elastic collision with another body, resulting in a transfer of momentum.ⓘ Final Velocity of Body B After Elastic Collision [v₂]			+10% -10%
✖Initial Velocity of Body B Before the Collision is the velocity of body B before it collides with another body in a kinetic motion.ⓘ Initial Velocity of Body B Before the Collision [u₂]			+10% -10%
✖Initial Velocity of Body A Before the Collision is the velocity of body A before it collides with another body, affecting the motion of both objects.ⓘ Initial Velocity of Body A Before the Collision [u₁]			+10% -10%

✖Coefficient of Restitution is a measure of the ratio of the final to initial relative velocity between two objects after a collision.ⓘ Coefficient of Restitution [e]

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Coefficient of Restitution Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
e = (v₁-v₂)/(u₂-u₁)
This formula uses 5 Variables

Variables Used

Coefficient of Restitution - Coefficient of Restitution is a measure of the ratio of the final to initial relative velocity between two objects after a collision.
Final Velocity of Body A After Elastic Collision - (Measured in Meter per Second) - Final Velocity of Body A After Elastic Collision is the velocity of body A after a perfectly elastic collision with another body.
Final Velocity of Body B After Elastic Collision - (Measured in Meter per Second) - Final Velocity of Body B After Elastic Collision is the velocity of body B after a perfectly elastic collision with another body, resulting in a transfer of momentum.
Initial Velocity of Body B Before the Collision - (Measured in Meter per Second) - Initial Velocity of Body B Before the Collision is the velocity of body B before it collides with another body in a kinetic motion.
Initial Velocity of Body A Before the Collision - (Measured in Meter per Second) - Initial Velocity of Body A Before the Collision is the velocity of body A before it collides with another body, affecting the motion of both objects.

STEP 1: Convert Input(s) to Base Unit

Final Velocity of Body A After Elastic Collision: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Final Velocity of Body B After Elastic Collision: 8 Meter per Second --> 8 Meter per Second No Conversion Required
Initial Velocity of Body B Before the Collision: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Initial Velocity of Body A Before the Collision: 5.2 Meter per Second --> 5.2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = (v₁-v₂)/(u₂-u₁) --> (12-8)/(10-5.2)

Evaluating ... ...

e = 0.833333333333333

STEP 3: Convert Result to Output's Unit

0.833333333333333 --> No Conversion Required

FINAL ANSWER

0.833333333333333 ≈ 0.833333 <-- Coefficient of Restitution

(Calculation completed in 00.011 seconds)

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< Kinetics Calculators

Coefficient of Restitution

LaTeX 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)

Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature

LaTeX Go Centripetal Force = Mass*Angular Velocity^2*Radius of Curvature

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

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

Angular Velocity given Speed in RPM

LaTeX Go Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60

Coefficient of Restitution Formula

LaTeX Go

Why is Coefficient of Restitution important?

The coefficient of restitution is important because it is what determines whether a collision is elastic or inelastic in nature. During the collision, in a perfect system, the kinetic energy of one object would get transferred to the other object when it collides.

How to Calculate Coefficient of Restitution?

Coefficient of Restitution calculator uses 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) to calculate the Coefficient of Restitution, Coefficient of Restitution formula is defined as a measure of the ratio of the final to initial relative velocities between two objects after a collision, providing insight into the energy transfer and momentum exchange during the interaction. Coefficient of Restitution is denoted by e symbol.

How to calculate Coefficient of Restitution using this online calculator? To use this online calculator for Coefficient of Restitution, enter Final Velocity of Body A After Elastic Collision (v₁), Final Velocity of Body B After Elastic Collision (v₂), Initial Velocity of Body B Before the Collision (u₂) & Initial Velocity of Body A Before the Collision (u₁) and hit the calculate button. Here is how the Coefficient of Restitution calculation can be explained with given input values -> 0.833333 = (12-8)/(10-5.2).

FAQ

What is Coefficient of Restitution?

Coefficient of Restitution formula is defined as a measure of the ratio of the final to initial relative velocities between two objects after a collision, providing insight into the energy transfer and momentum exchange during the interaction and is represented as e = (v₁-v₂)/(u₂-u₁) or 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). Final Velocity of Body A After Elastic Collision is the velocity of body A after a perfectly elastic collision with another body, Final Velocity of Body B After Elastic Collision is the velocity of body B after a perfectly elastic collision with another body, resulting in a transfer of momentum, Initial Velocity of Body B Before the Collision is the velocity of body B before it collides with another body in a kinetic motion & Initial Velocity of Body A Before the Collision is the velocity of body A before it collides with another body, affecting the motion of both objects.

How to calculate Coefficient of Restitution?

Coefficient of Restitution formula is defined as a measure of the ratio of the final to initial relative velocities between two objects after a collision, providing insight into the energy transfer and momentum exchange during the interaction is calculated using 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). To calculate Coefficient of Restitution, you need Final Velocity of Body A After Elastic Collision (v₁), Final Velocity of Body B After Elastic Collision (v₂), Initial Velocity of Body B Before the Collision (u₂) & Initial Velocity of Body A Before the Collision (u₁). With our tool, you need to enter the respective value for 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 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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