Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly Calculator

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Design of Brakes

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Energy and Thermal Equation

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✖Total Energy of brake is the sum total of the energy absorbed by the braking system.ⓘ Total Energy of Brake [E]			+10% -10%
✖Temperature Change of Brake Assembly is the degree by which the temperature of the brake assembly changes during operation.ⓘ Temperature Change of Brake Assembly [ΔT]			+10% -10%
✖Specific Heat of Brake Drum is defined as the specific heat of the whole assembly of the brake drum.ⓘ Specific Heat of Brake Drum [c]			+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 Drum Assembly given Temperature Rise of Brake Drum Assembly [m]

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Formula

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Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly

Formula

`"m" = "E"/("ΔT"*"c")`

Example

`"43.86719kg"="168450J"/("12°C"*"320J/kg*°C")`

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Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of Brake Assembly = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum)
m = E/(ΔT*c)
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.
Total Energy of Brake - (Measured in Joule) - Total Energy of brake is the sum total of the energy absorbed by the braking system.
Temperature Change of Brake Assembly - (Measured in Kelvin) - Temperature Change of Brake Assembly is the degree by which the temperature of the brake assembly changes during operation.
Specific Heat of Brake Drum - (Measured in Joule per Kilogram per K) - Specific Heat of Brake Drum is defined as the specific heat of the whole assembly of the brake drum.

STEP 1: Convert Input(s) to Base Unit

Total Energy of Brake: 168450 Joule --> 168450 Joule No Conversion Required
Temperature Change of Brake Assembly: 12 Degree Celsius --> 12 Kelvin (Check conversion here)
Specific Heat of Brake Drum: 320 Joule per Kilogram per Celcius --> 320 Joule per Kilogram per K (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = E/(ΔT*c) --> 168450/(12*320)

Evaluating ... ...

m = 43.8671875

STEP 3: Convert Result to Output's Unit

43.8671875 Kilogram --> No Conversion Required

FINAL ANSWER

43.8671875 ≈ 43.86719 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 Brake Drum Assembly given Temperature Rise of Brake Drum Assembly

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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 Brake Drum Assembly given Temperature Rise of Brake Drum Assembly Formula

Mass of Brake Assembly = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum)
m = E/(ΔT*c)

On What Factors temperature rise in brake pads depends?

The temperature rise depends upon the mass of the brake drum assembly, the ratio of the braking period to the rest period, and the specific heat of the material. For peak short-time requirements, it is assumed that all the heat generated during the braking period is absorbed by the brake drum assembly.

How to Calculate Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly?

Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly calculator uses Mass of Brake Assembly = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum) to calculate the Mass of Brake Assembly, The Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly formula is defined as the summation of mass of all the objects that are present in the brake drum assembly. Mass of Brake Assembly is denoted by m symbol.

How to calculate Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly using this online calculator? To use this online calculator for Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly, enter Total Energy of Brake (E), Temperature Change of Brake Assembly (ΔT) & Specific Heat of Brake Drum (c) and hit the calculate button. Here is how the Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly calculation can be explained with given input values -> 43.86719 = 168450/(12*320).

FAQ

What is Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly?

The Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly formula is defined as the summation of mass of all the objects that are present in the brake drum assembly and is represented as m = E/(ΔT*c) or Mass of Brake Assembly = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum). Total Energy of brake is the sum total of the energy absorbed by the braking system, Temperature Change of Brake Assembly is the degree by which the temperature of the brake assembly changes during operation & Specific Heat of Brake Drum is defined as the specific heat of the whole assembly of the brake drum.

How to calculate Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly?

The Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly formula is defined as the summation of mass of all the objects that are present in the brake drum assembly is calculated using Mass of Brake Assembly = Total Energy of Brake/(Temperature Change of Brake Assembly*Specific Heat of Brake Drum). To calculate Mass of Brake Drum Assembly given Temperature Rise of Brake Drum Assembly, you need Total Energy of Brake (E), Temperature Change of Brake Assembly (ΔT) & Specific Heat of Brake Drum (c). With our tool, you need to enter the respective value for Total Energy of Brake, Temperature Change of Brake Assembly & Specific Heat of Brake Drum 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 Total Energy of Brake, Temperature Change of Brake Assembly & Specific Heat of Brake Drum. 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 = Potential energy absorbed during braking/(Acceleration due to Gravity*Change in height of vehicle)

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