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Total Kinetic Energy of Constraint in Longitudinal Vibration Formula

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Kinetic Energy is the energy of motion of an object, influenced by the inertia of constraint in longitudinal and transverse vibrations, affecting its oscillatory behavior. Check FAQs

KE = \frac{m c \cdot {V longitudinal}^{2}}{6}

KE - Kinetic Energy?m_c - Total Mass of Constraint?V_longitudinal - Longitudinal Velocity of Free End?

Total Kinetic Energy of Constraint in Longitudinal Vibration Example

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Here is how the Total Kinetic Energy of Constraint in Longitudinal Vibration equation looks like with Values.

Here is how the Total Kinetic Energy of Constraint in Longitudinal Vibration equation looks like with Units.

Here is how the Total Kinetic Energy of Constraint in Longitudinal Vibration equation looks like.

75 = \frac{28.125 \cdot 4^{2}}{6}

75J = \frac{28.125kg \cdot {4m/s}^{2}}{6}

75 = \frac{28.125 \cdot 4^{2}}{6}

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Total Kinetic Energy of Constraint in Longitudinal Vibration Solution

Follow our step by step solution on how to calculate Total Kinetic Energy of Constraint in Longitudinal Vibration?

FIRST Step Consider the formula

KE = \frac{m c \cdot {V longitudinal}^{2}}{6}

Next Step Substitute values of Variables

∴

KE = \frac{28.125kg \cdot {4m/s}^{2}}{6}

Next Step Prepare to Evaluate

∴

KE = \frac{28.125 \cdot 4^{2}}{6}

LAST Step Evaluate

∴

KE = 75J

Total Kinetic Energy of Constraint in Longitudinal Vibration Formula Elements

Variables

Kinetic Energy

Kinetic Energy is the energy of motion of an object, influenced by the inertia of constraint in longitudinal and transverse vibrations, affecting its oscillatory behavior.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Total Mass of Constraint

Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.

Symbol: m_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Total Mass of Constraint

Longitudinal Velocity of Free End

Longitudinal Velocity of Free End is the velocity of the free end of a vibrating system, affected by the inertia of constraints in longitudinal and transverse vibrations.

Symbol: V_longitudinal

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Longitudinal Velocity of Free End

Other formulas in Longitudinal Vibration category

Go Velocity of Small Element for Longitudinal Vibration

v s = \frac{x \cdot V longitudinal}{l}

Go Longitudinal Velocity of Free End for Longitudinal Vibration

V longitudinal = \sqrt{\frac{6 \cdot KE}{m c}}

Go Total Mass of Constraint for Longitudinal Vibration

m c = \frac{6 \cdot KE}{{V longitudinal}^{2}}

Go Natural Frequency of Longitudinal Vibration

f = \sqrt{\frac{s constrain}{W attached + \frac{m c}{3}}} \cdot \frac{1}{2 \cdot π}

How to Evaluate Total Kinetic Energy of Constraint in Longitudinal Vibration?

Total Kinetic Energy of Constraint in Longitudinal Vibration evaluator uses Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6 to evaluate the Kinetic Energy, Total Kinetic Energy of Constraint in Longitudinal Vibration formula is defined as the energy associated with the motion of a constraint in a longitudinal vibration, which is influenced by the inertia of the constraint and its velocity. It is a crucial concept in understanding the dynamics of longitudinal vibrations and their effects on mechanical systems. Kinetic Energy is denoted by KE symbol.

How to evaluate Total Kinetic Energy of Constraint in Longitudinal Vibration using this online evaluator? To use this online evaluator for Total Kinetic Energy of Constraint in Longitudinal Vibration, enter Total Mass of Constraint (m_c) & Longitudinal Velocity of Free End (V_longitudinal) and hit the calculate button.

FAQs on Total Kinetic Energy of Constraint in Longitudinal Vibration

What is the formula to find Total Kinetic Energy of Constraint in Longitudinal Vibration?

The formula of Total Kinetic Energy of Constraint in Longitudinal Vibration is expressed as Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6. Here is an example- 74.66667 = (28.125*4^2)/6.

How to calculate Total Kinetic Energy of Constraint in Longitudinal Vibration?

With Total Mass of Constraint (m_c) & Longitudinal Velocity of Free End (V_longitudinal) we can find Total Kinetic Energy of Constraint in Longitudinal Vibration using the formula - Kinetic Energy = (Total Mass of Constraint*Longitudinal Velocity of Free End^2)/6.

Can the Total Kinetic Energy of Constraint in Longitudinal Vibration be negative?

Yes, the Total Kinetic Energy of Constraint in Longitudinal Vibration, measured in Energy can be negative.

Which unit is used to measure Total Kinetic Energy of Constraint in Longitudinal Vibration?

Total Kinetic Energy of Constraint in Longitudinal Vibration is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Total Kinetic Energy of Constraint in Longitudinal Vibration can be measured.

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