Final Velocity given Kinetic Energy Absorbed by Brakes Calculator

✖Initial Velocity Before Braking is the speed of a moving body that it has attained before the brakes are applied.ⓘ Initial Velocity Before Braking [u]			+10% -10%
✖Kinetic Energy Absorbed by Brake is defined as the energy absorbed by the braking system.ⓘ Kinetic Energy Absorbed by Brake [KE]			+10% -10%
✖Mass of Brake Assembly is defined as the summation of mass of all the objects present in the system on which brakes are applied.ⓘ Mass of Brake Assembly [m]			+10% -10%

✖Final Velocity After Braking is the speed of a moving body that it has attained after deceleration due to braking.ⓘ Final Velocity given Kinetic Energy Absorbed by Brakes [v]

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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)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Energy and Thermal Equation Calculators

Initial Velocity of System given Kinetic Energy Absorbed by Brakes

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Kinetic Energy Absorbed by Brake = Mass of Brake Assembly*(Initial Velocity Before Braking^2-Final Velocity After Braking^2)/2

Final Velocity given Kinetic Energy Absorbed by Brakes Formula

LaTeX Go

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, Final Velocity given Kinetic Energy Absorbed by Brakes is the speed it has after the brakes have absorbed the kinetic energy, which can be calculated based on the energy dissipated and the vehicle's mass. 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?

Final Velocity given Kinetic Energy Absorbed by Brakes is the speed it has after the brakes have absorbed the kinetic energy, which can be calculated based on the energy dissipated and the vehicle's mass 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?

Final Velocity given Kinetic Energy Absorbed by Brakes is the speed it has after the brakes have absorbed the kinetic energy, which can be calculated based on the energy dissipated and the vehicle's mass 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.

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