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

STEP 0: Pre-Calculation Summary
Formula Used
mass = 2*Kinetic Energy Absorbed/(Initial Velocity^2-Final Velocity^2)
m = 2*KE/(u^2-v^2)
This formula uses 3 Variables
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)
Initial Velocity - Initial Velocity is the velocity at which motion starts. (Measured in Meter per Second)
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
Initial Velocity: 45 Meter per Second --> 45 Meter per Second 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
m = 2*KE/(u^2-v^2) --> 2*10/(45^2-105^2)
Evaluating ... ...
m = -0.00222222222222222
STEP 3: Convert Result to Output's Unit
-0.00222222222222222 Kilogram --> No Conversion Required
FINAL ANSWER
-0.00222222222222222 Kilogram <-- Mass
(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

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

mass = 2*Kinetic Energy Absorbed/(Initial Velocity^2-Final Velocity^2)
m = 2*KE/(u^2-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 a translation (or motion along a path from one place to another), rotation about an axis, vibration, or any combination of motions.

How to Calculate Mass of the System When Kinetic Energy Absorbed by the Brakes is Given?

Mass of the System When Kinetic Energy Absorbed by the Brakes is Given calculator uses mass = 2*Kinetic Energy Absorbed/(Initial Velocity^2-Final Velocity^2) to calculate the Mass, The Mass of the System When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the measure of its resistance to acceleration when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. Mass and is denoted by m symbol.

How to calculate Mass of the System When Kinetic Energy Absorbed by the Brakes is Given using this online calculator? To use this online calculator for Mass of the System When Kinetic Energy Absorbed by the Brakes is Given, enter Kinetic Energy Absorbed (KE), Initial Velocity (u) and Final Velocity (v) and hit the calculate button. Here is how the Mass of the System When Kinetic Energy Absorbed by the Brakes is Given calculation can be explained with given input values -> -0.002222 = 2*10/(45^2-105^2).

FAQ

What is Mass of the System When Kinetic Energy Absorbed by the Brakes is Given?
The Mass of the System When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the measure of its resistance to acceleration when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies and is represented as m = 2*KE/(u^2-v^2) or mass = 2*Kinetic Energy Absorbed/(Initial Velocity^2-Final Velocity^2). Kinetic Energy Absorbed is defined as the maximum difference between initial and final kinetic energies of the system, Initial Velocity is the velocity at which motion starts and Final Velocity is the speed of a moving body after it has reached its maximum acceleration. .
How to calculate Mass of the System When Kinetic Energy Absorbed by the Brakes is Given?
The Mass of the System When Kinetic Energy Absorbed by the Brakes is Given formula is defined as the measure of its resistance to acceleration when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies is calculated using mass = 2*Kinetic Energy Absorbed/(Initial Velocity^2-Final Velocity^2). To calculate Mass of the System When Kinetic Energy Absorbed by the Brakes is Given, you need Kinetic Energy Absorbed (KE), Initial Velocity (u) and Final Velocity (v). With our tool, you need to enter the respective value for Kinetic Energy Absorbed, Initial Velocity 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 Mass?
In this formula, Mass uses Kinetic Energy Absorbed, Initial Velocity 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 Mass of the System When Kinetic Energy Absorbed by the Brakes is Given calculator used?
Among many, Mass 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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