Velocity of approach Calculator

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Engineering Mechanics

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✖Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.ⓘ Final Velocity of Second Mass [v₂]			+10% -10%
✖Final Velocity of First Mass is the velocity which the body has at the end of the given time period.ⓘ Final Velocity of First Mass [v₁]			+10% -10%
✖The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.ⓘ Coefficient of Restitution [e]			+10% -10%

✖The velocity of approach refers to the relative velocity at which two objects are moving towards each other just before they interact or collide.ⓘ Velocity of approach [v_app]

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Formula

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Velocity of approach

Formula

`"v"_{"app"} = ("v"_{"2"}-"v"_{"1"})/("e")`

Example

`"8m/s"=("20m/s"-"16m/s")/("0.5")`

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Velocity of approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution)
v_app = (v₂-v₁)/(e)
This formula uses 4 Variables

Variables Used

Velocity of Approach - (Measured in Meter per Second) - The velocity of approach refers to the relative velocity at which two objects are moving towards each other just before they interact or collide.
Final Velocity of Second Mass - (Measured in Meter per Second) - Final Velocity of Second Mass is the velocity which the body has at the end of the given time period.
Final Velocity of First Mass - (Measured in Meter per Second) - Final Velocity of First Mass is the velocity which the body has at the end of the given time period.
Coefficient of Restitution - The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.

STEP 1: Convert Input(s) to Base Unit

Final Velocity of Second Mass: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Final Velocity of First Mass: 16 Meter per Second --> 16 Meter per Second No Conversion Required
Coefficient of Restitution: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_app = (v₂-v₁)/(e) --> (20-16)/(0.5)

Evaluating ... ...

v_app = 8

STEP 3: Convert Result to Output's Unit

8 Meter per Second --> No Conversion Required

FINAL ANSWER

8 Meter per Second <-- Velocity of Approach

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< 9 Elastic Bodies Calculators

Loss of kinetic energy during impact

Go Kinetic Energy = (1/2)*(((Mass of First Particle*(Initial Velocity of First Mass^2))+(Mass of Second Particle*(Initial Velocity of Second Mass^2)))-((Mass of First Particle*(Final Velocity of First Mass^2))+(Mass of Second Particle*(Final Velocity of Second Mass^2))))

Total Kinetic Energy of Two Bodies before Impact

Go Kinetic Energy Before Impact = (1/2)*((Mass of First Particle*(Initial Velocity of First Mass^2))+(Mass of Second Particle*(Initial Velocity of Second Mass^2)))

Total kinetic energy of two bodies after impact

Go Kinetic Energy After Impact = (1/2)*((Mass of First Particle*(Final Velocity of First Mass^2))+(Mass of Second Particle*(Final Velocity of Second Mass^2)))

Coefficient of restitution of two colliding bodies

Go Coefficient of Restitution = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Initial Velocity of First Mass-Initial Velocity of Second Mass)

Velocity of separation after impact

Go Velocity of Separation = Coefficient of Restitution*(Initial Velocity of First Mass-Initial Velocity of Second Mass)

Velocity of approach

Go Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution)

Velocity of approach in indirect impact of body with fixed plane

Go Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact)

Velocity of separation in indirect impact of body with fixed plane

Go Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact)

Coefficient of restitution of freely falling body having height and bounce

Go Coefficient of Restitution = sqrt(Bounce of a freely falling body/Height of freely falling body)

Velocity of approach Formula

Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution)
v_app = (v₂-v₁)/(e)

What is coefficient of restitution?

Coefficient of restitution is the ratio of impulse during restitution period to the impulse during deformation period. Its is also defined as the ratio of relative velocity of separation to the relative velocity of approach of the colliding bodies, relative velocities being measured in the line of impact.

How to Calculate Velocity of approach?

Velocity of approach calculator uses Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution) to calculate the Velocity of Approach, The Velocity of approach formula is defined as the ratio of difference of final velocity of second body and final velocity of first body to the coefficient of restitution. Velocity of Approach is denoted by v_app symbol.

How to calculate Velocity of approach using this online calculator? To use this online calculator for Velocity of approach, enter Final Velocity of Second Mass (v₂), Final Velocity of First Mass (v₁) & Coefficient of Restitution (e) and hit the calculate button. Here is how the Velocity of approach calculation can be explained with given input values -> 8 = (20-16)/(0.5).

FAQ

What is Velocity of approach?

The Velocity of approach formula is defined as the ratio of difference of final velocity of second body and final velocity of first body to the coefficient of restitution and is represented as v_app = (v₂-v₁)/(e) or Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution). Final Velocity of Second Mass is the velocity which the body has at the end of the given time period, Final Velocity of First Mass is the velocity which the body has at the end of the given time period & The Coefficient of Restitution is the ratio of impulse during restitution period to the impulse during deformation period.

How to calculate Velocity of approach?

The Velocity of approach formula is defined as the ratio of difference of final velocity of second body and final velocity of first body to the coefficient of restitution is calculated using Velocity of Approach = (Final Velocity of Second Mass-Final Velocity of First Mass)/(Coefficient of Restitution). To calculate Velocity of approach, you need Final Velocity of Second Mass (v₂), Final Velocity of First Mass (v₁) & Coefficient of Restitution (e). With our tool, you need to enter the respective value for Final Velocity of Second Mass, Final Velocity of First Mass & Coefficient of Restitution and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity of Approach?

In this formula, Velocity of Approach uses Final Velocity of Second Mass, Final Velocity of First Mass & Coefficient of Restitution. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact)

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