Final Velocity given Kinetic Energy Absorbed by Brakes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final velocity after braking = sqrt(Initial velocity before braking^2-(2*Kinetic energy absorbed by brake/Mass of Brake Assembly))
v = sqrt(u^2-(2*KE/m))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Final velocity after braking - (Measured in Meter per Second) - Final velocity after braking is the speed of a moving body that it has attained after deceleration due to braking.
Initial velocity before braking - (Measured in Meter per Second) - Initial velocity before braking is the speed of a moving body that it has attained before the brakes are applied.
Kinetic energy absorbed by brake - (Measured in Joule) - Kinetic energy absorbed by brake is defined as the energy absorbed by the braking system.
Mass of Brake Assembly - (Measured in Kilogram) - Mass of Brake Assembly is defined as the summation of mass of all the objects present in the system on which brakes are applied.
STEP 1: Convert Input(s) to Base Unit
Initial velocity before braking: 13.04 Meter per Second --> 13.04 Meter per Second No Conversion Required
Kinetic energy absorbed by brake: 94950 Joule --> 94950 Joule No Conversion Required
Mass of Brake Assembly: 1130 Kilogram --> 1130 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = sqrt(u^2-(2*KE/m)) --> sqrt(13.04^2-(2*94950/1130))
Evaluating ... ...
v = 1.41014277818497
STEP 3: Convert Result to Output's Unit
1.41014277818497 Meter per Second --> No Conversion Required
FINAL ANSWER
1.41014277818497 1.410143 Meter per Second <-- Final velocity after braking
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ more calculators!

19 Energy and Thermal Equation Calculators

Radius of Gyration given Kinetic Energy of Rotating Body
Go Radius of Gyration of braked system = sqrt(2*Kinetic energy absorbed by brake/(Mass of Brake Assembly*((Initial angular velocity of braked system^2)-(Final angular velocity of braked system^2))))
Mass of System given Kinetic Energy of Rotating Body
Go Mass of Brake Assembly = 2*Kinetic energy absorbed by brake/((Initial angular velocity of braked system^2-Final angular velocity of braked system^2)*Radius of Gyration of braked system^2)
Initial Angular Velocity of Body given Kinetic Energy of Rotating Body
Go Initial angular velocity of braked system = sqrt((2*Kinetic energy absorbed by brake/Moment of Inertia of braked assembly)+Final angular velocity of braked system^2)
Final Angular Velocity of Body given Kinetic Energy of Rotating Body
Go Final angular velocity of braked system = sqrt(Initial angular velocity of braked system^2-(2*Kinetic energy absorbed by brake/Moment of Inertia of braked assembly))
Moment of Inertia of System given Kinetic Energy of Rotating Body
Go Moment of Inertia of braked assembly = 2*Kinetic energy absorbed by brake/(Initial angular velocity of braked system^2-Final angular velocity of braked system^2)
Kinetic energy of Rotating Body
Go Kinetic energy absorbed by brake = Moment of Inertia of braked assembly*(Initial angular velocity of braked system^2-Final angular velocity of braked system^2)/2
Initial Velocity of System given Kinetic Energy Absorbed by Brakes
Go Initial velocity before braking = sqrt((2*Kinetic energy absorbed by brake/Mass of Brake Assembly)+Final velocity after braking^2)
Final Velocity given Kinetic Energy Absorbed by Brakes
Go Final velocity after braking = sqrt(Initial velocity before braking^2-(2*Kinetic energy absorbed by brake/Mass of Brake Assembly))
Mass of System given Kinetic Energy Absorbed by Brakes
Go Mass of Brake Assembly = 2*Kinetic energy absorbed by brake/(Initial velocity before braking^2-Final velocity after braking^2)
Kinetic Energy Absorbed by Brake
Go Kinetic energy absorbed by brake = Mass of Brake Assembly*(Initial velocity before braking^2-Final velocity after braking^2)/2
Mass of System given Potential Energy Absorbed during Braking Period
Go Mass of Brake Assembly = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle)
Potential Energy Absorbed during Braking Period
Go Potential energy absorbed during braking = Mass of Brake Assembly*Acceleration due to Gravity*Change in height of vehicle
Specific Heat of Brake Drum Material given Temperature Rise of Brake Drum Assembly
Go Specific Heat of Brake Drum = Total Energy of Brake/(Mass of Brake Assembly*Temperature Change of Brake Assembly)
Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly
Go Mass of Brake Assembly = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum)
Temperature Rise of Brake Drum Assembly
Go Temperature Change of Brake Assembly = Total Energy of Brake/(Mass of Brake Assembly*Specific Heat of Brake Drum)
Total Energy Absorbed by Brake given Temperature Rise of Brake Drum Assembly
Go Total Energy of Brake = Temperature Change of Brake Assembly*Mass of Brake Assembly*Specific Heat of Brake Drum
Brake Drum Rotational Angle given Work Done by Brake
Go Angle of rotation of brake disc = Kinetic energy absorbed by brake/Braking Torque on System
Braking Torque given Work Done by Brake
Go Braking Torque on System = Kinetic energy absorbed by brake/Angle of rotation of brake disc
Total Energy Absorbed by Brake
Go Kinetic energy absorbed by brake = Braking Torque on System*Angle of rotation of brake disc

Final Velocity given Kinetic Energy Absorbed by Brakes Formula

Final velocity after braking = sqrt(Initial velocity before braking^2-(2*Kinetic energy absorbed by brake/Mass of Brake Assembly))
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 given Kinetic Energy Absorbed by Brakes?

Final Velocity given Kinetic Energy Absorbed by Brakes calculator uses Final velocity after braking = sqrt(Initial velocity before braking^2-(2*Kinetic energy absorbed by brake/Mass of Brake Assembly)) to calculate the Final velocity after braking, The Final Velocity given Kinetic Energy Absorbed by Brakes formula is defined as velocity of body when time T= t. Final velocity after braking is denoted by v symbol.

How to calculate Final Velocity given Kinetic Energy Absorbed by Brakes using this online calculator? To use this online calculator for Final Velocity given Kinetic Energy Absorbed by Brakes, enter Initial velocity before braking (u), Kinetic energy absorbed by brake (KE) & Mass of Brake Assembly (m) and hit the calculate button. Here is how the Final Velocity given Kinetic Energy Absorbed by Brakes calculation can be explained with given input values -> 1.410143 = sqrt(13.04^2-(2*94950/1130)).

FAQ

What is Final Velocity given Kinetic Energy Absorbed by Brakes?
The Final Velocity given Kinetic Energy Absorbed by Brakes formula is defined as velocity of body when time T= t and is represented as v = sqrt(u^2-(2*KE/m)) or Final velocity after braking = sqrt(Initial velocity before braking^2-(2*Kinetic energy absorbed by brake/Mass of Brake Assembly)). Initial velocity before braking is the speed of a moving body that it has attained before the brakes are applied, Kinetic energy absorbed by brake is defined as the energy absorbed by the braking system & Mass of Brake Assembly is defined as the summation of mass of all the objects present in the system on which brakes are applied.
How to calculate Final Velocity given Kinetic Energy Absorbed by Brakes?
The Final Velocity given Kinetic Energy Absorbed by Brakes formula is defined as velocity of body when time T= t is calculated using Final velocity after braking = sqrt(Initial velocity before braking^2-(2*Kinetic energy absorbed by brake/Mass of Brake Assembly)). To calculate Final Velocity given Kinetic Energy Absorbed by Brakes, you need Initial velocity before braking (u), Kinetic energy absorbed by brake (KE) & Mass of Brake Assembly (m). With our tool, you need to enter the respective value for Initial velocity before braking, Kinetic energy absorbed by brake & Mass of Brake Assembly and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!