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Total Kinetic Energy of Constraint for Transverse Vibrations 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{33 \cdot m c \cdot {V traverse}^{2}}{280}

KE - Kinetic Energy?m_c - Total Mass of Constraint?V_traverse - Transverse Velocity of Free End?

Total Kinetic Energy of Constraint for Transverse Vibrations Example

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Here is how the Total Kinetic Energy of Constraint for Transverse Vibrations equation looks like with Values.

Here is how the Total Kinetic Energy of Constraint for Transverse Vibrations equation looks like with Units.

Here is how the Total Kinetic Energy of Constraint for Transverse Vibrations equation looks like.

75 = \frac{33 \cdot 28.125 \cdot {4.7567}^{2}}{280}

75J = \frac{33 \cdot 28.125kg \cdot {4.7567m/s}^{2}}{280}

75 = \frac{33 \cdot 28.125 \cdot {4.7567}^{2}}{280}

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Total Kinetic Energy of Constraint for Transverse Vibrations Solution

Follow our step by step solution on how to calculate Total Kinetic Energy of Constraint for Transverse Vibrations?

FIRST Step Consider the formula

KE = \frac{33 \cdot m c \cdot {V traverse}^{2}}{280}

Next Step Substitute values of Variables

∴

KE = \frac{33 \cdot 28.125kg \cdot {4.7567m/s}^{2}}{280}

Next Step Prepare to Evaluate

∴

KE = \frac{33 \cdot 28.125 \cdot {4.7567}^{2}}{280}

Next Step Evaluate

∴

KE = 74.9999962132048J

LAST Step Rounding Answer

∴

KE = 75J

Total Kinetic Energy of Constraint for Transverse Vibrations 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

Transverse Velocity of Free End

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

Symbol: V_traverse

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Transverse Velocity of Free End

Other formulas in Transverse Vibration category

Go Velocity of Small Element for Transverse Vibrations

v s = \frac{(3 \cdot l \cdot x^{2} - x^{3}) \cdot V traverse}{2 \cdot l^{3}}

Go Total Mass of Constraint for Transverse Vibrations

m c = \frac{280 \cdot KE}{33 \cdot {V traverse}^{2}}

Go Transverse Velocity of Free End

V traverse = \sqrt{\frac{280 \cdot KE}{33 \cdot m c}}

Go Natural Frequency of Transverse Vibration

f = \frac{\sqrt{\frac{s constrain}{W attached + m c \cdot \frac{33}{140}}}}{2 \cdot π}

How to Evaluate Total Kinetic Energy of Constraint for Transverse Vibrations?

Total Kinetic Energy of Constraint for Transverse Vibrations evaluator uses Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280 to evaluate the Kinetic Energy, Total Kinetic Energy of Constraint for Transverse Vibrations formula is defined as a measure of the energy associated with the transverse vibrations of a constrained system, taking into account the inertia of the constraint, and is used to analyze the effects of longitudinal and transverse vibrations in various mechanical systems. Kinetic Energy is denoted by KE symbol.

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

FAQs on Total Kinetic Energy of Constraint for Transverse Vibrations

What is the formula to find Total Kinetic Energy of Constraint for Transverse Vibrations?

The formula of Total Kinetic Energy of Constraint for Transverse Vibrations is expressed as Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280. Here is an example- 74.99978 = (33*28.125*4.756707^2)/280.

How to calculate Total Kinetic Energy of Constraint for Transverse Vibrations?

With Total Mass of Constraint (m_c) & Transverse Velocity of Free End (V_traverse) we can find Total Kinetic Energy of Constraint for Transverse Vibrations using the formula - Kinetic Energy = (33*Total Mass of Constraint*Transverse Velocity of Free End^2)/280.

Can the Total Kinetic Energy of Constraint for Transverse Vibrations be negative?

Yes, the Total Kinetic Energy of Constraint for Transverse Vibrations, measured in Energy can be negative.

Which unit is used to measure Total Kinetic Energy of Constraint for Transverse Vibrations?

Total Kinetic Energy of Constraint for Transverse Vibrations 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 for Transverse Vibrations can be measured.

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