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Longitudinal Velocity of Free End for Longitudinal Vibration Formula

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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. Check FAQs

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

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

Longitudinal Velocity of Free End for Longitudinal Vibration Example

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Here is how the Longitudinal Velocity of Free End for Longitudinal Vibration equation looks like with Values.

Here is how the Longitudinal Velocity of Free End for Longitudinal Vibration equation looks like with Units.

Here is how the Longitudinal Velocity of Free End for Longitudinal Vibration equation looks like.

4 = \sqrt{\frac{6 \cdot 75}{28.125}}

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

4 = \sqrt{\frac{6 \cdot 75}{28.125}}

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Longitudinal Velocity of Free End for Longitudinal Vibration Solution

Follow our step by step solution on how to calculate Longitudinal Velocity of Free End for Longitudinal Vibration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V longitudinal = \sqrt{\frac{6 \cdot 75J}{28.125kg}}

Next Step Prepare to Evaluate

∴

V longitudinal = \sqrt{\frac{6 \cdot 75}{28.125}}

LAST Step Evaluate

∴

V longitudinal = 4m/s

Longitudinal Velocity of Free End for Longitudinal Vibration Formula Elements

Variables

Functions

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

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

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 Longitudinal Vibration category

Go Velocity of Small Element for Longitudinal Vibration

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

Go Total Kinetic Energy of Constraint in Longitudinal Vibration

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

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 Longitudinal Velocity of Free End for Longitudinal Vibration?

Longitudinal Velocity of Free End for Longitudinal Vibration evaluator uses Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint) to evaluate the Longitudinal Velocity of Free End, Longitudinal Velocity of Free End for Longitudinal Vibration formula is defined as a measure of the velocity of the free end of an object undergoing longitudinal vibration, which is influenced by the kinetic energy and mass of the constrained object, providing insight into the effect of inertia in longitudinal and transverse vibrations. Longitudinal Velocity of Free End is denoted by V_longitudinal symbol.

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

FAQs on Longitudinal Velocity of Free End for Longitudinal Vibration

What is the formula to find Longitudinal Velocity of Free End for Longitudinal Vibration?

The formula of Longitudinal Velocity of Free End for Longitudinal Vibration is expressed as Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint). Here is an example- 4.008919 = sqrt((6*75)/28.125).

How to calculate Longitudinal Velocity of Free End for Longitudinal Vibration?

With Kinetic Energy (KE) & Total Mass of Constraint (m_c) we can find Longitudinal Velocity of Free End for Longitudinal Vibration using the formula - Longitudinal Velocity of Free End = sqrt((6*Kinetic Energy)/Total Mass of Constraint). This formula also uses Square Root (sqrt) function(s).

Can the Longitudinal Velocity of Free End for Longitudinal Vibration be negative?

No, the Longitudinal Velocity of Free End for Longitudinal Vibration, measured in Speed cannot be negative.

Which unit is used to measure Longitudinal Velocity of Free End for Longitudinal Vibration?

Longitudinal Velocity of Free End for Longitudinal Vibration 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 Longitudinal Velocity of Free End for Longitudinal Vibration can be measured.

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