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Mass of System given Kinetic Energy of Rotating Body Formula

GoMass of System given Kinetic Energy Absorbed by Brakes Formula

GoMass of System given Potential Energy Absorbed during Braking Period Formula

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Mass of Brake Assembly is defined as the summation of mass of all the objects present in the system on which brakes are applied. Check FAQs

m = 2 \cdot \frac{KE}{({ω 1}^{2} - {ω 2}^{2}) \cdot {k g}^{2}}

m - Mass of Brake Assembly?KE - Kinetic Energy Absorbed by Brake?ω₁ - Initial Angular Velocity of Braked System?ω₂ - Final Angular Velocity of Braked System?k_g - Radius of Gyration of Braked System?

Mass of System given Kinetic Energy of Rotating Body Example

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Here is how the Mass of System given Kinetic Energy of Rotating Body equation looks like with Values.

Here is how the Mass of System given Kinetic Energy of Rotating Body equation looks like with Units.

Here is how the Mass of System given Kinetic Energy of Rotating Body equation looks like.

1130.3015 = 2 \cdot \frac{94950}{({36.65}^{2} - {0.52}^{2}) \cdot {353.7}^{2}}

1130.3015kg = 2 \cdot \frac{94950J}{({36.65rad/s}^{2} - {0.52rad/s}^{2}) \cdot {353.7mm}^{2}}

1130.3015 = 2 \cdot \frac{94950}{({36.65}^{2} - {0.52}^{2}) \cdot {353.7}^{2}}

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Mass of System given Kinetic Energy of Rotating Body Solution

Follow our step by step solution on how to calculate Mass of System given Kinetic Energy of Rotating Body?

FIRST Step Consider the formula

m = 2 \cdot \frac{KE}{({ω 1}^{2} - {ω 2}^{2}) \cdot {k g}^{2}}

Next Step Substitute values of Variables

∴

m = 2 \cdot \frac{94950J}{({36.65rad/s}^{2} - {0.52rad/s}^{2}) \cdot {353.7mm}^{2}}

Next Step Convert Units

∴

m = 2 \cdot \frac{94950J}{({36.65rad/s}^{2} - {0.52rad/s}^{2}) \cdot {0.3537m}^{2}}

Next Step Prepare to Evaluate

∴

m = 2 \cdot \frac{94950}{({36.65}^{2} - {0.52}^{2}) \cdot {0.3537}^{2}}

Next Step Evaluate

∴

m = 1130.30154814628kg

LAST Step Rounding Answer

∴

m = 1130.3015kg

Mass of System given Kinetic Energy of Rotating Body Formula Elements

Variables

Mass of Brake Assembly

Mass of Brake Assembly is defined as the summation of mass of all the objects present in the system on which brakes are applied.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Brake Assembly

Kinetic Energy Absorbed by Brake

Kinetic Energy Absorbed by Brake is defined as the energy absorbed by the braking system.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Kinetic Energy Absorbed by Brake

Initial Angular Velocity of Braked System

Initial Angular Velocity of Braked System is the velocity at which the system or the object is rotating before the brakes are applied.

Symbol: ω₁

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Initial Angular Velocity of Braked System

Final Angular Velocity of Braked System

Final Angular Velocity of Braked System is the velocity at which the system or the object is rotating after the brakes are totally applied.

Symbol: ω₂

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Final Angular Velocity of Braked System

Radius of Gyration of Braked System

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.

Symbol: k_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration of Braked System

Other Formulas to find Mass of Brake Assembly

Go Mass of System given Kinetic Energy Absorbed by Brakes

m = 2 \cdot \frac{KE}{u^{2} - v^{2}}

Go Mass of System given Potential Energy Absorbed during Braking Period

m = \frac{PE}{g \cdot Δh}

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

m = \frac{E}{ΔT \cdot c}

Other formulas in Energy and Thermal Equation category

Go Kinetic Energy Absorbed by Brake

KE = m \cdot \frac{u^{2} - v^{2}}{2}

Go Initial Velocity of System given Kinetic Energy Absorbed by Brakes

u = \sqrt{(2 \cdot \frac{KE}{m}) + v^{2}}

Go Final Velocity given Kinetic Energy Absorbed by Brakes

v = \sqrt{u^{2} - (2 \cdot \frac{KE}{m})}

Go Kinetic energy of Rotating Body

KE = I \cdot \frac{{ω 1}^{2} - {ω 2}^{2}}{2}

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

Mass of System given Kinetic Energy of Rotating Body evaluator 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 evaluate 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 evaluate Mass of System given Kinetic Energy of Rotating Body using this online evaluator? To use this online evaluator 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.

FAQs on Mass of System given Kinetic Energy of Rotating Body

What is the formula to find Mass of System given Kinetic Energy of Rotating Body?

The formula of Mass of System given Kinetic Energy of Rotating Body is expressed as 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). Here is an example- 1130.302 = 2*94950/((36.65^2-0.52^2)*0.3537^2).

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

With 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) we can find Mass of System given Kinetic Energy of Rotating Body using the formula - 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).

What are the other ways to Calculate Mass of Brake Assembly?

Here are the different ways to Calculate Mass of Brake Assembly-

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)

Can the Mass of System given Kinetic Energy of Rotating Body be negative?

No, the Mass of System given Kinetic Energy of Rotating Body, measured in Weight cannot be negative.

Which unit is used to measure Mass of System given Kinetic Energy of Rotating Body?

Mass of System given Kinetic Energy of Rotating Body is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of System given Kinetic Energy of Rotating Body can be measured.

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Mass of System given Kinetic Energy of Rotating Body Formula

​GoMass of System given Kinetic Energy Absorbed by Brakes Formula

​GoMass of System given Potential Energy Absorbed during Braking Period Formula

Mass of System given Kinetic Energy of Rotating Body Example

Mass of System given Kinetic Energy of Rotating Body Solution

Mass of System given Kinetic Energy of Rotating Body Formula Elements

Other Formulas to find Mass of Brake Assembly

Other formulas in Energy and Thermal Equation category

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

FAQs on Mass of System given Kinetic Energy of Rotating Body

Variable Name

GoMass of System given Kinetic Energy Absorbed by Brakes Formula

GoMass of System given Potential Energy Absorbed during Braking Period Formula