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Transverse Velocity of Free End Formula

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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. Check FAQs

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

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

Transverse Velocity of Free End Example

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Here is how the Transverse Velocity of Free End equation looks like with Values.

Here is how the Transverse Velocity of Free End equation looks like with Units.

Here is how the Transverse Velocity of Free End equation looks like.

4.7567 = \sqrt{\frac{280 \cdot 75}{33 \cdot 28.125}}

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

4.7567 = \sqrt{\frac{280 \cdot 75}{33 \cdot 28.125}}

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Transverse Velocity of Free End Solution

Follow our step by step solution on how to calculate Transverse Velocity of Free End?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V traverse = \sqrt{\frac{280 \cdot 75J}{33 \cdot 28.125kg}}

Next Step Prepare to Evaluate

∴

V traverse = \sqrt{\frac{280 \cdot 75}{33 \cdot 28.125}}

Next Step Evaluate

∴

V traverse = 4.75670712008451m/s

LAST Step Rounding Answer

∴

V traverse = 4.7567m/s

Transverse Velocity of Free End Formula Elements

Variables

Functions

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

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 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 Kinetic Energy of Constraint for Transverse Vibrations

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

Go Total Mass of Constraint for Transverse Vibrations

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

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 Transverse Velocity of Free End?

Transverse Velocity of Free End evaluator uses Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)) to evaluate the Transverse Velocity of Free End, Transverse Velocity of Free End formula is defined as a measure of the velocity of the free end of a vibrating system, influenced by the effect of inertia of constraint in longitudinal and transverse vibrations, providing insight into the dynamic behavior of the system under various constraints. Transverse Velocity of Free End is denoted by V_traverse symbol.

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

FAQs on Transverse Velocity of Free End

What is the formula to find Transverse Velocity of Free End?

The formula of Transverse Velocity of Free End is expressed as Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)). Here is an example- 4.756707 = sqrt((280*75)/(33*28.125)).

How to calculate Transverse Velocity of Free End?

With Kinetic Energy (KE) & Total Mass of Constraint (m_c) we can find Transverse Velocity of Free End using the formula - Transverse Velocity of Free End = sqrt((280*Kinetic Energy)/(33*Total Mass of Constraint)). This formula also uses Square Root (sqrt) function(s).

Can the Transverse Velocity of Free End be negative?

No, the Transverse Velocity of Free End, measured in Speed cannot be negative.

Which unit is used to measure Transverse Velocity of Free End?

Transverse Velocity of Free End 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 Transverse Velocity of Free End can be measured.

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