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)
vapp = u*cos(θi)
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
vapp = u*cos(θi) --> 14.125*cos(0.959931088596701)
Evaluating ... ...
vapp = 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)

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Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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During Collision Calculators

Loss of kinetic energy during impact
​ LaTeX ​ 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))))
Velocity of approach
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Velocity of Separation = Final Velocity of Mass*cos(Angle between Final Velocity and Line of Impact)

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

​LaTeX ​Go
Velocity of Approach = Initial Velocity of Mass*cos(Angle between Initial Velocity and Line of Impact)
vapp = u*cos(θi)

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 vapp 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 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 vapp = u*cos(θi) 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 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)
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