Brake Drum Rotational Angle given Work Done by Brake Calculator

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Design of Brakes

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Energy and Thermal Equation

Band Brakes

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Disk Brakes

✖Kinetic energy absorbed by brake is defined as the energy absorbed by the braking system.ⓘ Kinetic energy absorbed by brake [KE]			+10% -10%
✖Braking Torque on System is the toque or the moment that is applied onto the rotating disc or drum to be stopped or slowed down.ⓘ Braking Torque on System [Mt_{fm sys}]			+10% -10%

✖Angle of rotation of brake disc is defined as by how many degrees the disc is moved with respect to the reference line.ⓘ Brake Drum Rotational Angle given Work Done by Brake [θ_b]

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Formula

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Brake Drum Rotational Angle given Work Done by Brake

Formula

`"θ"_{"b"} = "KE"/"Mt"_{"fm sys"}`

Example

`"27.12857rad"="94950J"/"3.5E6N*mm"`

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Brake Drum Rotational Angle given Work Done by Brake Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of rotation of brake disc = Kinetic energy absorbed by brake/Braking Torque on System
θ_b = KE/Mt_{fm sys}
This formula uses 3 Variables

Variables Used

Angle of rotation of brake disc - (Measured in Radian) - Angle of rotation of brake disc is defined as by how many degrees the disc is moved with respect to the reference line.
Kinetic energy absorbed by brake - (Measured in Joule) - Kinetic energy absorbed by brake is defined as the energy absorbed by the braking system.
Braking Torque on System - (Measured in Newton Meter) - Braking Torque on System is the toque or the moment that is applied onto the rotating disc or drum to be stopped or slowed down.

STEP 1: Convert Input(s) to Base Unit

Kinetic energy absorbed by brake: 94950 Joule --> 94950 Joule No Conversion Required
Braking Torque on System: 3500000 Newton Millimeter --> 3500 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_b = KE/Mt_{fm sys} --> 94950/3500

Evaluating ... ...

θ_b = 27.1285714285714

STEP 3: Convert Result to Output's Unit

27.1285714285714 Radian --> No Conversion Required

FINAL ANSWER

27.1285714285714 ≈ 27.12857 Radian <-- Angle of rotation of brake disc

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Brakes » Energy and Thermal Equation » Brake Drum Rotational Angle given Work Done by Brake

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Urvi Rathod

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

Brake Drum Rotational Angle given Work Done by Brake Formula

Angle of rotation of brake disc = Kinetic energy absorbed by brake/Braking Torque on System
θ_b = KE/Mt_{fm sys}

Define the Total Energy?

The total energy of a system is the sum of kinetic and gravitational potential energy, and this total energy is conserved in orbital motion. Objects must have a minimum velocity, the escape velocity, to leave a planet and not return.

How to Calculate Brake Drum Rotational Angle given Work Done by Brake?

Brake Drum Rotational Angle given Work Done by Brake calculator uses Angle of rotation of brake disc = Kinetic energy absorbed by brake/Braking Torque on System to calculate the Angle of rotation of brake disc, The Brake Drum Rotational Angle given Work Done by Brake formula is defined as the angle rotated by the brake drum during braking Period. Angle of rotation of brake disc is denoted by θ_b symbol.

How to calculate Brake Drum Rotational Angle given Work Done by Brake using this online calculator? To use this online calculator for Brake Drum Rotational Angle given Work Done by Brake, enter Kinetic energy absorbed by brake (KE) & Braking Torque on System (Mt_{fm sys}) and hit the calculate button. Here is how the Brake Drum Rotational Angle given Work Done by Brake calculation can be explained with given input values -> 27.12857 = 94950/3500.

FAQ

What is Brake Drum Rotational Angle given Work Done by Brake?

The Brake Drum Rotational Angle given Work Done by Brake formula is defined as the angle rotated by the brake drum during braking Period and is represented as θ_b = KE/Mt_{fm sys} or Angle of rotation of brake disc = Kinetic energy absorbed by brake/Braking Torque on System. Kinetic energy absorbed by brake is defined as the energy absorbed by the braking system & Braking Torque on System is the toque or the moment that is applied onto the rotating disc or drum to be stopped or slowed down.

How to calculate Brake Drum Rotational Angle given Work Done by Brake?

The Brake Drum Rotational Angle given Work Done by Brake formula is defined as the angle rotated by the brake drum during braking Period is calculated using Angle of rotation of brake disc = Kinetic energy absorbed by brake/Braking Torque on System. To calculate Brake Drum Rotational Angle given Work Done by Brake, you need Kinetic energy absorbed by brake (KE) & Braking Torque on System (Mt_{fm sys}). With our tool, you need to enter the respective value for Kinetic energy absorbed by brake & Braking Torque on System 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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