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 00.020 seconds)

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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

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

​LaTeX ​Go
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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