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Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
initial_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final Velocity^2)
u = sqrt((2*KE/m)+v^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
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)
Final Velocity - Final Velocity is the speed of a moving body after it has reached its maximum acceleration. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Kinetic Energy Absorbed: 10 Joule --> 10 Joule No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Final Velocity: 105 Meter per Second --> 105 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
u = sqrt((2*KE/m)+v^2) --> sqrt((2*10/35.45)+105^2)
Evaluating ... ...
u = 105.002686512747
STEP 3: Convert Result to Output's Unit
105.002686512747 Meter per Second --> No Conversion Required
FINAL ANSWER
105.002686512747 Meter per Second <-- Initial Velocity
(Calculation completed in 00.013 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

Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given Formula

initial_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final Velocity^2)
u = sqrt((2*KE/m)+v^2)

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 Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given?

Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given calculator uses initial_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final Velocity^2) to calculate the Initial Velocity, The Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the velocity of the body when time T=0. Initial Velocity and is denoted by u symbol.

How to calculate Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given using this online calculator? To use this online calculator for Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given, enter Kinetic Energy Absorbed (KE), Mass (m) and Final Velocity (v) and hit the calculate button. Here is how the Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given calculation can be explained with given input values -> 105.0027 = sqrt((2*10/35.45)+105^2).

FAQ

What is Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given?
The Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the velocity of the body when time T=0 and is represented as u = sqrt((2*KE/m)+v^2) or initial_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final Velocity^2). Kinetic Energy Absorbed is defined as the maximum difference between initial and final kinetic energies of the system, Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it and Final Velocity is the speed of a moving body after it has reached its maximum acceleration. .
How to calculate Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given?
The Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the velocity of the body when time T=0 is calculated using initial_velocity = sqrt((2*Kinetic Energy Absorbed/Mass)+Final Velocity^2). To calculate Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given, you need Kinetic Energy Absorbed (KE), Mass (m) and Final Velocity (v). With our tool, you need to enter the respective value for Kinetic Energy Absorbed, Mass and Final Velocity 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 Initial Velocity?
In this formula, Initial Velocity uses Kinetic Energy Absorbed, Mass and Final Velocity. 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 Initial Velocity of the System When Kinetic Energy Absorbed by the Brakes is Given calculator used?
Among many, Initial Velocity of the System 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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