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## Credits

Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Final Velocity When Kinetic Energy Absorbed by the Brakes is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
final_velocity = sqrt(Initial Velocity^2-(2*Kinetic Energy Absorbed/Mass))
v = sqrt(u^2-(2*KE/m))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Initial Velocity - Initial Velocity is the velocity at which motion starts. (Measured in Meter per Second)
Kinetic Energy Absorbed - Kinetic Energy Absorbed is defined as the maximum difference between initial and final kinetic energies of the system. (Measured in Joule)
Mass - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. (Measured in Kilogram)
STEP 1: Convert Input(s) to Base Unit
Initial Velocity: 45 Meter per Second --> 45 Meter per Second No Conversion Required
Kinetic Energy Absorbed: 10 Joule --> 10 Joule No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = sqrt(u^2-(2*KE/m)) --> sqrt(45^2-(2*10/35.45))
Evaluating ... ...
v = 44.9937309533871
STEP 3: Convert Result to Output's Unit
44.9937309533871 Meter per Second --> No Conversion Required
FINAL ANSWER
44.9937309533871 Meter per Second <-- Final Velocity
(Calculation completed in 00.016 seconds)

## < 10+ Design of Brakes Calculators

Radius of Gyration When Kinetic Energy of the Rotating Body is Given
radius_of_gyration = sqrt(2*Kinetic Energy Absorbed/(Mass*(Final angular velocity^2-Initial angular velocity^2))) Go
Final Angular Velocity of the Body When Kinetic Energy of Rotating Body is Given
final_angular_velocity_radpersec = sqrt(Initial angular velocity^2-(2*Kinetic Energy Absorbed/Moment of Inertia)) Go
Mass of the System When Kinetic Energy of Rotating Body is Given
mass = 2*Kinetic Energy Absorbed/((Initial angular velocity^2-Final angular velocity^2)*Radius of gyration^2) Go
Initial Angular Velocity of the Body When Kinetic Energy of the Rotating Body is Given
initial_angular_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final angular velocity^2) Go
Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given
initial_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final Velocity^2) Go
Final Velocity When Kinetic Energy Absorbed by the Brakes is Given
final_velocity = sqrt(Initial Velocity^2-(2*Kinetic Energy Absorbed/Mass)) Go
Moment of Inertia of the System When Kinetic Energy of the Rotating Body is Given
moment_of_inertia = 2*Kinetic Energy Absorbed/(Initial angular velocity^2-Final angular velocity^2) Go
Kinetic energy of a Rotating Body
kinetic_energy_absorbed = Moment of Inertia*(Initial angular velocity^2-Final angular velocity^2)/2 Go
Mass of the System When Kinetic Energy Absorbed by the Brakes is Given
mass = 2*Kinetic Energy Absorbed/(Initial Velocity^2-Final Velocity^2) Go
Kinetic Energy Absorbed by the Brake
kinetic_energy_absorbed = Mass*(Initial Velocity^2-Final Velocity^2)/2 Go

### Final Velocity When Kinetic Energy Absorbed by the Brakes is Given Formula

final_velocity = sqrt(Initial Velocity^2-(2*Kinetic Energy Absorbed/Mass))
v = sqrt(u^2-(2*KE/m))

## Define Kinetic Energy?

Kinetic energy, a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy. Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass. The kind of motion may be translation (or motion along a path from one place to another), rotation about an axis, vibration, or any combination of motions.

## How to Calculate Final Velocity When Kinetic Energy Absorbed by the Brakes is Given?

Final Velocity When Kinetic Energy Absorbed by the Brakes is Given calculator uses final_velocity = sqrt(Initial Velocity^2-(2*Kinetic Energy Absorbed/Mass)) to calculate the Final Velocity, The Final Velocity When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the velocity of the body when the time T= t. Final Velocity and is denoted by v symbol.

How to calculate Final Velocity When Kinetic Energy Absorbed by the Brakes is Given using this online calculator? To use this online calculator for Final Velocity When Kinetic Energy Absorbed by the Brakes is Given, enter Initial Velocity (u), Kinetic Energy Absorbed (KE) and Mass (m) and hit the calculate button. Here is how the Final Velocity When Kinetic Energy Absorbed by the Brakes is Given calculation can be explained with given input values -> 44.99373 = sqrt(45^2-(2*10/35.45)).

### FAQ

What is Final Velocity When Kinetic Energy Absorbed by the Brakes is Given?
The Final Velocity When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the velocity of the body when the time T= t and is represented as v = sqrt(u^2-(2*KE/m)) or final_velocity = sqrt(Initial Velocity^2-(2*Kinetic Energy Absorbed/Mass)). Initial Velocity is the velocity at which motion starts, Kinetic Energy Absorbed is defined as the maximum difference between initial and final kinetic energies of the system and Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
How to calculate Final Velocity When Kinetic Energy Absorbed by the Brakes is Given?
The Final Velocity When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the velocity of the body when the time T= t is calculated using final_velocity = sqrt(Initial Velocity^2-(2*Kinetic Energy Absorbed/Mass)). To calculate Final Velocity When Kinetic Energy Absorbed by the Brakes is Given, you need Initial Velocity (u), Kinetic Energy Absorbed (KE) and Mass (m). With our tool, you need to enter the respective value for Initial Velocity, Kinetic Energy Absorbed and Mass 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 Final Velocity?
In this formula, Final Velocity uses Initial Velocity, Kinetic Energy Absorbed and Mass. We can use 10 other way(s) to calculate the same, which is/are as follows -
• kinetic_energy_absorbed = Mass*(Initial Velocity^2-Final Velocity^2)/2
• mass = 2*Kinetic Energy Absorbed/(Initial Velocity^2-Final Velocity^2)
• initial_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final Velocity^2)
• final_velocity = sqrt(Initial Velocity^2-(2*Kinetic Energy Absorbed/Mass))
• kinetic_energy_absorbed = Moment of Inertia*(Initial angular velocity^2-Final angular velocity^2)/2
• moment_of_inertia = 2*Kinetic Energy Absorbed/(Initial angular velocity^2-Final angular velocity^2)
• initial_angular_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final angular velocity^2)
• final_angular_velocity_radpersec = sqrt(Initial angular velocity^2-(2*Kinetic Energy Absorbed/Moment of Inertia))
• radius_of_gyration = sqrt(2*Kinetic Energy Absorbed/(Mass*(Final angular velocity^2-Initial angular velocity^2)))
• mass = 2*Kinetic Energy Absorbed/((Initial angular velocity^2-Final angular velocity^2)*Radius of gyration^2)
Where is the Final Velocity When Kinetic Energy Absorbed by the Brakes is Given calculator used?
Among many, Final Velocity When Kinetic Energy Absorbed by the Brakes is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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