Mass of System given Potential Energy Absorbed during Braking Period Calculator

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✖Potential energy absorbed during braking is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential energy absorbed during braking [PE]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Change in height of vehicle is defined as the difference between the final and initial elevation of the vehicle before and after braking.ⓘ Change in height of vehicle [Δh]			+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 Potential Energy Absorbed during Braking Period [m]

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Mass of System given Potential Energy Absorbed during Braking Period

Formula

`"m" = "PE"/("g"*"Δh")`

Example

`"1157.771kg"="590J"/("9.8m/s²"*"52mm")`

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Mass of System given Potential Energy Absorbed during Braking Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Brake Assembly = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle)
m = PE/(g*Δh)
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.
Potential energy absorbed during braking - (Measured in Joule) - Potential energy absorbed during braking is the energy that is stored in an object due to its position relative to some zero position.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Change in height of vehicle - (Measured in Meter) - Change in height of vehicle is defined as the difference between the final and initial elevation of the vehicle before and after braking.

STEP 1: Convert Input(s) to Base Unit

Potential energy absorbed during braking: 590 Joule --> 590 Joule No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Change in height of vehicle: 52 Millimeter --> 0.052 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = PE/(g*Δh) --> 590/(9.8*0.052)

Evaluating ... ...

m = 1157.77080062794

STEP 3: Convert Result to Output's Unit

1157.77080062794 Kilogram --> No Conversion Required

FINAL ANSWER

1157.77080062794 ≈ 1157.771 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 Potential Energy Absorbed during Braking Period

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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 Potential Energy Absorbed during Braking Period Formula

Mass of Brake Assembly = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle)
m = PE/(g*Δh)

Define Potential Energy?

Potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors. We can define potential energy as a form of energy that results from the alteration of its position or state.

How to Calculate Mass of System given Potential Energy Absorbed during Braking Period?

Mass of System given Potential Energy Absorbed during Braking Period calculator uses Mass of Brake Assembly = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle) to calculate the Mass of Brake Assembly, The Mass of System given Potential Energy Absorbed during Braking Period formula is defined as the measure of its resistance to acceleration when a net force is applied. Mass of Brake Assembly is denoted by m symbol.

How to calculate Mass of System given Potential Energy Absorbed during Braking Period using this online calculator? To use this online calculator for Mass of System given Potential Energy Absorbed during Braking Period, enter Potential energy absorbed during braking (PE), Acceleration due to Gravity (g) & Change in height of vehicle (Δh) and hit the calculate button. Here is how the Mass of System given Potential Energy Absorbed during Braking Period calculation can be explained with given input values -> 1157.771 = 590/(9.8*0.052).

FAQ

What is Mass of System given Potential Energy Absorbed during Braking Period?

The Mass of System given Potential Energy Absorbed during Braking Period formula is defined as the measure of its resistance to acceleration when a net force is applied and is represented as m = PE/(g*Δh) or Mass of Brake Assembly = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle). Potential energy absorbed during braking is the energy that is stored in an object due to its position relative to some zero position, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Change in height of vehicle is defined as the difference between the final and initial elevation of the vehicle before and after braking.

How to calculate Mass of System given Potential Energy Absorbed during Braking Period?

The Mass of System given Potential Energy Absorbed during Braking Period formula is defined as the measure of its resistance to acceleration when a net force is applied is calculated using Mass of Brake Assembly = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle). To calculate Mass of System given Potential Energy Absorbed during Braking Period, you need Potential energy absorbed during braking (PE), Acceleration due to Gravity (g) & Change in height of vehicle (Δh). With our tool, you need to enter the respective value for Potential energy absorbed during braking, Acceleration due to Gravity & Change in height of vehicle 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 Potential energy absorbed during braking, Acceleration due to Gravity & Change in height of vehicle. 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 velocity before braking^2-Final velocity after braking^2)
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 = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum)

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