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Natural Frequency of Transverse Vibration Formula

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Frequency is the number of oscillations or cycles per second in a vibrating system, affected by inertia of constraint in longitudinal and transverse vibrations. Check FAQs

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

f - Frequency?s_constrain - Stiffness of Constraint?W_attached - Load Attached to Free End of Constraint?m_c - Total Mass of Constraint?π - Archimedes' constant?

Natural Frequency of Transverse Vibration Example

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Here is how the Natural Frequency of Transverse Vibration equation looks like with Values.

Here is how the Natural Frequency of Transverse Vibration equation looks like with Units.

Here is how the Natural Frequency of Transverse Vibration equation looks like.

0.2146 = \frac{\sqrt{\frac{13}{0.52 + 28.125 \cdot \frac{33}{140}}}}{2 \cdot 3.1416}

0.2146Hz = \frac{\sqrt{\frac{13N/m}{0.52kg + 28.125kg \cdot \frac{33}{140}}}}{2 \cdot 3.1416}

0.2146 = \frac{\sqrt{\frac{13}{0.52 + 28.125 \cdot \frac{33}{140}}}}{2 \cdot 3.1416}

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Natural Frequency of Transverse Vibration Solution

Follow our step by step solution on how to calculate Natural Frequency of Transverse Vibration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = \frac{\sqrt{\frac{13N/m}{0.52kg + 28.125kg \cdot \frac{33}{140}}}}{2 \cdot π}

Next Step Substitute values of Constants

∴

f = \frac{\sqrt{\frac{13N/m}{0.52kg + 28.125kg \cdot \frac{33}{140}}}}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

f = \frac{\sqrt{\frac{13}{0.52 + 28.125 \cdot \frac{33}{140}}}}{2 \cdot 3.1416}

Next Step Evaluate

∴

f = 0.214612521566035Hz

LAST Step Rounding Answer

∴

f = 0.2146Hz

Natural Frequency of Transverse Vibration Formula Elements

Variables

Constants

Functions

Frequency

Frequency is the number of oscillations or cycles per second in a vibrating system, affected by inertia of constraint in longitudinal and transverse vibrations.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Stiffness of Constraint

Stiffness of Constraint is the measure of resistance to deformation of a constraint in longitudinal and transverse vibrations due to inertia effects.

Symbol: s_constrain

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Constraint

Load Attached to Free End of Constraint

Load Attached to Free End of Constraint is the force exerted on the free end of a constraint in longitudinal and transverse vibrations due to inertia.

Symbol: W_attached

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Load Attached to Free End of Constraint

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Transverse Velocity of Free End

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

How to Evaluate Natural Frequency of Transverse Vibration?

Natural Frequency of Transverse Vibration evaluator uses Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi) to evaluate the Frequency, Natural Frequency of Transverse Vibration formula is defined as a measure of the frequency at which a system vibrates when it is subjected to a transverse force, taking into account the inertia of the constraint and the attached mass, and is an important concept in the study of longitudinal and transverse vibrations. Frequency is denoted by f symbol.

How to evaluate Natural Frequency of Transverse Vibration using this online evaluator? To use this online evaluator for Natural Frequency of Transverse Vibration, enter Stiffness of Constraint (s_constrain), Load Attached to Free End of Constraint (W_attached) & Total Mass of Constraint (m_c) and hit the calculate button.

FAQs on Natural Frequency of Transverse Vibration

What is the formula to find Natural Frequency of Transverse Vibration?

The formula of Natural Frequency of Transverse Vibration is expressed as Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi). Here is an example- 0.215056 = (sqrt((13)/(0.52+28.125*33/140)))/(2*pi).

How to calculate Natural Frequency of Transverse Vibration?

With Stiffness of Constraint (s_constrain), Load Attached to Free End of Constraint (W_attached) & Total Mass of Constraint (m_c) we can find Natural Frequency of Transverse Vibration using the formula - Frequency = (sqrt((Stiffness of Constraint)/(Load Attached to Free End of Constraint+Total Mass of Constraint*33/140)))/(2*pi). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Natural Frequency of Transverse Vibration be negative?

No, the Natural Frequency of Transverse Vibration, measured in Frequency cannot be negative.

Which unit is used to measure Natural Frequency of Transverse Vibration?

Natural Frequency of Transverse Vibration is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Natural Frequency of Transverse Vibration can be measured.

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Natural Frequency of Transverse Vibration Formula

Natural Frequency of Transverse Vibration Example

Natural Frequency of Transverse Vibration Solution

Natural Frequency of Transverse Vibration Formula Elements

Other formulas in Transverse Vibration category

How to Evaluate Natural Frequency of Transverse Vibration?

FAQs on Natural Frequency of Transverse Vibration

Variable Name