Mass of System given Kinetic Energy of Rotating Body Calculator

✖Kinetic Energy Absorbed by Brake is defined as the energy absorbed by the braking system.ⓘ Kinetic Energy Absorbed by Brake [KE]			+10% -10%
✖Initial Angular Velocity of Braked System is the velocity at which the system or the object is rotating before the brakes are applied.ⓘ Initial Angular Velocity of Braked System [ω₁]			+10% -10%
✖Final Angular Velocity of Braked System is the velocity at which the system or the object is rotating after the brakes are totally applied.ⓘ Final Angular Velocity of Braked System [ω₂]			+10% -10%
✖Radius of Gyration of Braked System is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.ⓘ Radius of Gyration of Braked System [k_g]			+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 of Rotating Body [m]

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Mass of System given Kinetic Energy of Rotating Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
m = 2*KE/((ω₁^2-ω₂^2)*k_g^2)
This formula uses 5 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 Angular Velocity of Braked System - (Measured in Radian per Second) - Initial Angular Velocity of Braked System is the velocity at which the system or the object is rotating before the brakes are applied.
Final Angular Velocity of Braked System - (Measured in Radian per Second) - Final Angular Velocity of Braked System is the velocity at which the system or the object is rotating after the brakes are totally applied.
Radius of Gyration of Braked System - (Measured in Meter) - Radius of Gyration of Braked System is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy Absorbed by Brake: 94950 Joule --> 94950 Joule No Conversion Required
Initial Angular Velocity of Braked System: 36.65 Radian per Second --> 36.65 Radian per Second No Conversion Required
Final Angular Velocity of Braked System: 0.52 Radian per Second --> 0.52 Radian per Second No Conversion Required
Radius of Gyration of Braked System: 353.7 Millimeter --> 0.3537 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = 2*KE/((ω₁^2-ω₂^2)*k_g^2) --> 2*94950/((36.65^2-0.52^2)*0.3537^2)

Evaluating ... ...

m = 1130.30154814628

STEP 3: Convert Result to Output's Unit

1130.30154814628 Kilogram --> No Conversion Required

FINAL ANSWER

1130.30154814628 ≈ 1130.302 Kilogram <-- Mass of Brake Assembly

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Brakes » Mechanical » Energy and Thermal Equation » Mass of System given Kinetic Energy of Rotating Body

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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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< 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 System given Kinetic Energy of Rotating Body Formula

LaTeX Go

Define Kinetic Energy?

To accelerate an object we have to apply force. To apply force, we need to do work. When work is done on an object, energy is transferred and the object moves with a new constant speed. The energy that is transferred is known as kinetic energy and it depends on the mass and speed achieved.

How to Calculate Mass of System given Kinetic Energy of Rotating Body?

Mass of System given Kinetic Energy of Rotating Body calculator uses 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) to calculate the Mass of Brake Assembly, The Mass of System given Kinetic Energy of Rotating Body formula is defined as measure of its resistance to acceleration when net force is applied. Mass of Brake Assembly is denoted by m symbol.

How to calculate Mass of System given Kinetic Energy of Rotating Body using this online calculator? To use this online calculator for Mass of System given Kinetic Energy of Rotating Body, enter Kinetic Energy Absorbed by Brake (KE), Initial Angular Velocity of Braked System (ω₁), Final Angular Velocity of Braked System (ω₂) & Radius of Gyration of Braked System (k_g) and hit the calculate button. Here is how the Mass of System given Kinetic Energy of Rotating Body calculation can be explained with given input values -> 1130.302 = 2*94950/((36.65^2-0.52^2)*0.3537^2).

FAQ

What is Mass of System given Kinetic Energy of Rotating Body?

The Mass of System given Kinetic Energy of Rotating Body formula is defined as measure of its resistance to acceleration when net force is applied and is represented as m = 2*KE/((ω₁^2-ω₂^2)*k_g^2) or 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). Kinetic Energy Absorbed by Brake is defined as the energy absorbed by the braking system, Initial Angular Velocity of Braked System is the velocity at which the system or the object is rotating before the brakes are applied, Final Angular Velocity of Braked System is the velocity at which the system or the object is rotating after the brakes are totally applied & Radius of Gyration of Braked System is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.

How to calculate Mass of System given Kinetic Energy of Rotating Body?

The Mass of System given Kinetic Energy of Rotating Body formula is defined as measure of its resistance to acceleration when net force is applied is calculated using 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). To calculate Mass of System given Kinetic Energy of Rotating Body, you need Kinetic Energy Absorbed by Brake (KE), Initial Angular Velocity of Braked System (ω₁), Final Angular Velocity of Braked System (ω₂) & Radius of Gyration of Braked System (k_g). With our tool, you need to enter the respective value for Kinetic Energy Absorbed by Brake, Initial Angular Velocity of Braked System, Final Angular Velocity of Braked System & Radius of Gyration of Braked System 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 Angular Velocity of Braked System, Final Angular Velocity of Braked System & Radius of Gyration of Braked System. 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 = 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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