Initial Velocity of System given Kinetic Energy Absorbed by Brakes Calculator

✖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 After Braking [v]			+10% -10%

✖Initial Velocity Before Braking is the speed of a moving body that it has attained before the brakes are applied.ⓘ Initial Velocity of System given Kinetic Energy Absorbed by Brakes [u]

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Initial Velocity of System given Kinetic Energy Absorbed by Brakes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Velocity Before Braking = sqrt((2*Kinetic Energy Absorbed by Brake/Mass of Brake Assembly)+Final Velocity After Braking^2)
u = sqrt((2*KE/m)+v^2)
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy Absorbed by Brake: 94950 Joule --> 94950 Joule No Conversion Required
Mass of Brake Assembly: 1130 Kilogram --> 1130 Kilogram No Conversion Required
Final Velocity After Braking: 1.5 Meter per Second --> 1.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u = sqrt((2*KE/m)+v^2) --> sqrt((2*94950/1130)+1.5^2)

Evaluating ... ...

u = 13.0500228867666

STEP 3: Convert Result to Output's Unit

13.0500228867666 Meter per Second --> No Conversion Required

FINAL ANSWER

13.0500228867666 ≈ 13.05002 Meter per Second <-- Initial Velocity Before Braking

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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

Initial Velocity of System given Kinetic Energy Absorbed by Brakes Formula

LaTeX Go

Initial Velocity Before Braking = sqrt((2*Kinetic Energy Absorbed by Brake/Mass of Brake Assembly)+Final Velocity After Braking^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 System given Kinetic Energy Absorbed by Brakes?

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

How to calculate Initial Velocity of System given Kinetic Energy Absorbed by Brakes using this online calculator? To use this online calculator for Initial Velocity of System given Kinetic Energy Absorbed by Brakes, enter Kinetic Energy Absorbed by Brake (KE), Mass of Brake Assembly (m) & Final Velocity After Braking (v) and hit the calculate button. Here is how the Initial Velocity of System given Kinetic Energy Absorbed by Brakes calculation can be explained with given input values -> 13.05002 = sqrt((2*94950/1130)+1.5^2).

FAQ

What is Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

The Initial Velocity of System given Kinetic Energy Absorbed by Brakes formula is defined as velocity of body when time T=0 and is represented as u = sqrt((2*KE/m)+v^2) or Initial Velocity Before Braking = sqrt((2*Kinetic Energy Absorbed by Brake/Mass of Brake Assembly)+Final Velocity After Braking^2). 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 & Final Velocity After Braking is the speed of a moving body that it has attained after deceleration due to braking.

How to calculate Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

The Initial Velocity of System given Kinetic Energy Absorbed by Brakes formula is defined as velocity of body when time T=0 is calculated using Initial Velocity Before Braking = sqrt((2*Kinetic Energy Absorbed by Brake/Mass of Brake Assembly)+Final Velocity After Braking^2). To calculate Initial Velocity of System given Kinetic Energy Absorbed by Brakes, you need Kinetic Energy Absorbed by Brake (KE), Mass of Brake Assembly (m) & Final Velocity After Braking (v). With our tool, you need to enter the respective value for Kinetic Energy Absorbed by Brake, Mass of Brake Assembly & Final Velocity After Braking 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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