Velocity of approach in indirect impact of body with fixed plane Calculator

↳

⤿

Engineering Mechanics

Friction

General Principal to Dynamics

Properties of Planes and Solids

Types of Motion

⤿

Elastic Bodies

Lifting Machines

✖Initial Velocity of Mass is the velocity at which motion starts.ⓘ Initial Velocity of Mass [u]			+10% -10%
✖The Angle between Initial Velocity and Line of Impact is angle made by the initial velocity of the body with the line of impact.ⓘ Angle between Initial Velocity and Line of Impact [θ_i]			+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 in indirect impact of body with fixed plane [v_app]

⎘ Copy

👎

Formula

✖

Velocity of approach in indirect impact of body with fixed plane

Formula

`"v"_{"app"} = "u"*cos("θ"_{"i"})`

Example

`"8.101767m/s"="14.125m/s"*cos("55°")`

Calculator

LaTeX

Reset

👍

Download Physics Formula PDF

Velocity of approach in indirect impact of body with fixed plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact)
v_app = u*cos(θ_i)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Initial Velocity of Mass - (Measured in Meter per Second) - Initial Velocity of Mass is the velocity at which motion starts.
Angle between Initial Velocity and Line of Impact - (Measured in Radian) - The Angle between Initial Velocity and Line of Impact is angle made by the initial velocity of the body with the line of impact.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity of Mass: 14.125 Meter per Second --> 14.125 Meter per Second No Conversion Required
Angle between Initial Velocity and Line of Impact: 55 Degree --> 0.959931088596701 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_app = u*cos(θ_i) --> 14.125*cos(0.959931088596701)

Evaluating ... ...

v_app = 8.10176716346061

STEP 3: Convert Result to Output's Unit

8.10176716346061 Meter per Second --> No Conversion Required

FINAL ANSWER

8.10176716346061 ≈ 8.101767 Meter per Second <-- Velocity of Approach

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Mechanics » Engineering Mechanics » Elastic Bodies » Velocity of approach in indirect impact of body with fixed plane

Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

< 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 in indirect impact of body with fixed plane Formula

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

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 in indirect impact of body with fixed plane?

Velocity of approach in indirect impact of body with fixed plane calculator uses Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact) to calculate the Velocity of Approach, The Velocity of approach in indirect impact of body with fixed plane formula is defined as the product of initial velocity of the body and cos of angle between initial velocity and line of impact. Velocity of Approach is denoted by v_app symbol.

How to calculate Velocity of approach in indirect impact of body with fixed plane using this online calculator? To use this online calculator for Velocity of approach in indirect impact of body with fixed plane, enter Initial Velocity of Mass (u) & Angle between Initial Velocity and Line of Impact (θ_i) and hit the calculate button. Here is how the Velocity of approach in indirect impact of body with fixed plane calculation can be explained with given input values -> 8.03007 = 14.125*cos(0.959931088596701).

FAQ

What is Velocity of approach in indirect impact of body with fixed plane?

The Velocity of approach in indirect impact of body with fixed plane formula is defined as the product of initial velocity of the body and cos of angle between initial velocity and line of impact and is represented as v_app = u*cos(θ_i) or Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact). Initial Velocity of Mass is the velocity at which motion starts & The Angle between Initial Velocity and Line of Impact is angle made by the initial velocity of the body with the line of impact.

How to calculate Velocity of approach in indirect impact of body with fixed plane?

The Velocity of approach in indirect impact of body with fixed plane formula is defined as the product of initial velocity of the body and cos of angle between initial velocity and line of impact is calculated using Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact). To calculate Velocity of approach in indirect impact of body with fixed plane, you need Initial Velocity of Mass (u) & Angle between Initial Velocity and Line of Impact (θ_i). With our tool, you need to enter the respective value for Initial Velocity of Mass & Angle between Initial Velocity and Line of Impact 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 Initial Velocity of Mass & Angle between Initial Velocity and Line of Impact. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search