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Initial Velocity of System given Kinetic Energy Absorbed by Brakes Formula

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Initial Velocity Before Braking is the speed of a moving body that it has attained before the brakes are applied. Check FAQs

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

u - Initial Velocity Before Braking?KE - Kinetic Energy Absorbed by Brake?m - Mass of Brake Assembly?v - Final Velocity After Braking?

Initial Velocity of System given Kinetic Energy Absorbed by Brakes Example

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Here is how the Initial Velocity of System given Kinetic Energy Absorbed by Brakes equation looks like with Values.

Here is how the Initial Velocity of System given Kinetic Energy Absorbed by Brakes equation looks like with Units.

Here is how the Initial Velocity of System given Kinetic Energy Absorbed by Brakes equation looks like.

13.05 = \sqrt{(2 \cdot \frac{94950}{1130}) + {1.5}^{2}}

13.05m/s = \sqrt{(2 \cdot \frac{94950J}{1130kg}) + {1.5m/s}^{2}}

13.05 = \sqrt{(2 \cdot \frac{94950}{1130}) + {1.5}^{2}}

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Initial Velocity of System given Kinetic Energy Absorbed by Brakes Solution

Follow our step by step solution on how to calculate Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

u = \sqrt{(2 \cdot \frac{94950J}{1130kg}) + {1.5m/s}^{2}}

Next Step Prepare to Evaluate

∴

u = \sqrt{(2 \cdot \frac{94950}{1130}) + {1.5}^{2}}

Next Step Evaluate

∴

u = 13.0500228867666m/s

LAST Step Rounding Answer

∴

u = 13.05m/s

Initial Velocity of System given Kinetic Energy Absorbed by Brakes Formula Elements

Variables

Functions

Initial Velocity Before Braking

Initial Velocity Before Braking is the speed of a moving body that it has attained before the brakes are applied.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Initial Velocity Before Braking

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

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

Final Velocity After Braking

Final Velocity After Braking is the speed of a moving body that it has attained after deceleration due to braking.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Final Velocity After Braking

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Energy and Thermal Equation category

Go Kinetic Energy Absorbed by Brake

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

Go Mass of System given Kinetic Energy Absorbed by Brakes

m = 2 \cdot \frac{KE}{u^{2} - 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 Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

Initial Velocity of System given Kinetic Energy Absorbed by Brakes evaluator uses Initial Velocity Before Braking = sqrt((2*Kinetic Energy Absorbed by Brake/Mass of Brake Assembly)+Final Velocity After Braking^2) to evaluate the Initial Velocity Before Braking, The Initial Velocity of System given Kinetic Energy Absorbed by Brakes formula is defined as velocity of body when time T=0. Initial Velocity Before Braking is denoted by u symbol.

How to evaluate Initial Velocity of System given Kinetic Energy Absorbed by Brakes using this online evaluator? To use this online evaluator for Initial Velocity of System given Kinetic Energy Absorbed by Brakes, enter Kinetic Energy Absorbed by Brake (KE), Mass of Brake Assembly (m) & Final Velocity After Braking (v) and hit the calculate button.

FAQs on Initial Velocity of System given Kinetic Energy Absorbed by Brakes

What is the formula to find Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

The formula of Initial Velocity of System given Kinetic Energy Absorbed by Brakes is expressed as Initial Velocity Before Braking = sqrt((2*Kinetic Energy Absorbed by Brake/Mass of Brake Assembly)+Final Velocity After Braking^2). Here is an example- 13.05002 = sqrt((2*94950/1130)+1.5^2).

How to calculate Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

With Kinetic Energy Absorbed by Brake (KE), Mass of Brake Assembly (m) & Final Velocity After Braking (v) we can find Initial Velocity of System given Kinetic Energy Absorbed by Brakes using the formula - Initial Velocity Before Braking = sqrt((2*Kinetic Energy Absorbed by Brake/Mass of Brake Assembly)+Final Velocity After Braking^2). This formula also uses Square Root (sqrt) function(s).

Can the Initial Velocity of System given Kinetic Energy Absorbed by Brakes be negative?

No, the Initial Velocity of System given Kinetic Energy Absorbed by Brakes, measured in Speed cannot be negative.

Which unit is used to measure Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

Initial Velocity of System given Kinetic Energy Absorbed by Brakes is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Initial Velocity of System given Kinetic Energy Absorbed by Brakes can be measured.

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Initial Velocity of System given Kinetic Energy Absorbed by Brakes Formula

Initial Velocity of System given Kinetic Energy Absorbed by Brakes Example

Initial Velocity of System given Kinetic Energy Absorbed by Brakes Solution

Initial Velocity of System given Kinetic Energy Absorbed by Brakes Formula Elements

Other formulas in Energy and Thermal Equation category

How to Evaluate Initial Velocity of System given Kinetic Energy Absorbed by Brakes?

FAQs on Initial Velocity of System given Kinetic Energy Absorbed by Brakes

Variable Name