Mass of System given Kinetic Energy Absorbed by Brakes Calculator

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✖Kinetic energy absorbed by brake is defined as the energy absorbed by the braking system.ⓘ Kinetic energy absorbed by brake [KE]			+10% -10%
✖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%
✖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%

✖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 System given Kinetic Energy Absorbed by Brakes [m]

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Mass of System given Kinetic Energy Absorbed by Brakes

Formula

`"m" = 2*"KE"/("u"^2-"v"^2)`

Example

`"1131.761kg"=2*"94950J"/(("13.04m/s")^2-("1.5m/s")^2)`

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Mass of System given Kinetic Energy Absorbed by Brakes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Brake Assembly = 2*Kinetic energy absorbed by brake/(Initial velocity before braking^2-Final velocity after braking^2)
m = 2*KE/(u^2-v^2)
This formula uses 4 Variables

Variables Used

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.
Kinetic energy absorbed by brake - (Measured in Joule) - Kinetic energy absorbed by brake is defined as the energy absorbed by the braking system.
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.
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
Initial velocity before braking: 13.04 Meter per Second --> 13.04 Meter per Second 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

m = 2*KE/(u^2-v^2) --> 2*94950/(13.04^2-1.5^2)

Evaluating ... ...

m = 1131.76106551222

STEP 3: Convert Result to Output's Unit

1131.76106551222 Kilogram --> No Conversion Required

FINAL ANSWER

1131.76106551222 ≈ 1131.761 Kilogram <-- Mass of Brake Assembly

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Brakes » Energy and Thermal Equation » Mass of System given Kinetic Energy Absorbed by Brakes

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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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< 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

Mass of System given Kinetic Energy Absorbed by Brakes Formula

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

Mass of System given Kinetic Energy Absorbed by Brakes calculator uses Mass of Brake Assembly = 2*Kinetic energy absorbed by brake/(Initial velocity before braking^2-Final velocity after braking^2) to calculate the Mass of Brake Assembly, The Mass of System given Kinetic Energy Absorbed by Brakes formula is defined as measure of its resistance to acceleration when net force is applied. An object's mass also determines strength of its gravitational attraction to other bodies. Mass of Brake Assembly is denoted by m symbol.

How to calculate Mass of System given Kinetic Energy Absorbed by Brakes using this online calculator? To use this online calculator for Mass of System given Kinetic Energy Absorbed by Brakes, enter Kinetic energy absorbed by brake (KE), Initial velocity before braking (u) & Final velocity after braking (v) and hit the calculate button. Here is how the Mass of System given Kinetic Energy Absorbed by Brakes calculation can be explained with given input values -> 1131.761 = 2*94950/(13.04^2-1.5^2).

FAQ

What is Mass of System given Kinetic Energy Absorbed by Brakes?

The Mass of System given Kinetic Energy Absorbed by Brakes formula is defined as measure of its resistance to acceleration when net force is applied. An object's mass also determines strength of its gravitational attraction to other bodies and is represented as m = 2*KE/(u^2-v^2) or 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 is defined as the energy absorbed by the braking system, Initial velocity before braking is the speed of a moving body that it has attained before the 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 Mass of System given Kinetic Energy Absorbed by Brakes?

The Mass of System given Kinetic Energy Absorbed by Brakes formula is defined as measure of its resistance to acceleration when net force is applied. An object's mass also determines strength of its gravitational attraction to other bodies is calculated using Mass of Brake Assembly = 2*Kinetic energy absorbed by brake/(Initial velocity before braking^2-Final velocity after braking^2). To calculate Mass of System given Kinetic Energy Absorbed by Brakes, you need Kinetic energy absorbed by brake (KE), Initial velocity before braking (u) & Final velocity after braking (v). With our tool, you need to enter the respective value for Kinetic energy absorbed by brake, Initial velocity before braking & 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.

How many ways are there to calculate Mass of Brake Assembly?

In this formula, Mass of Brake Assembly uses Kinetic energy absorbed by brake, Initial velocity before braking & Final velocity after braking. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Mass of Brake Assembly = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle)
Mass of Brake Assembly = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum)

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