FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Natural angular frequency of Spring whose one end is free Formula

Fx Copy

LaTeX Copy

Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates when subjected to a surge or sudden force. Check FAQs

ω nat = (\frac{1}{4}) \cdot \sqrt{\frac{k}{m}}

ω_nat - Natural Angular Frequency of Helical Spring?k - Stiffness of Spring?m - Mass of Helical Spring?

Natural angular frequency of Spring whose one end is free Example

With values

With units

Only example

Here is how the Natural angular frequency of Spring whose one end is free equation looks like with Values.

Here is how the Natural angular frequency of Spring whose one end is free equation looks like with Units.

Here is how the Natural angular frequency of Spring whose one end is free equation looks like.

62.082 = (\frac{1}{4}) \cdot \sqrt{\frac{7.4}{0.12}}

62.082rev/s = (\frac{1}{4}) \cdot \sqrt{\frac{7.4N/mm}{0.12kg}}

62.082 = (\frac{1}{4}) \cdot \sqrt{\frac{7.4}{0.12}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Natural angular frequency of Spring whose one end is free

Natural angular frequency of Spring whose one end is free Solution

Follow our step by step solution on how to calculate Natural angular frequency of Spring whose one end is free?

FIRST Step Consider the formula

ω nat = (\frac{1}{4}) \cdot \sqrt{\frac{k}{m}}

Next Step Substitute values of Variables

∴

ω nat = (\frac{1}{4}) \cdot \sqrt{\frac{7.4N/mm}{0.12kg}}

Next Step Convert Units

∴

ω nat = (\frac{1}{4}) \cdot \sqrt{\frac{7400.004N/m}{0.12kg}}

Next Step Prepare to Evaluate

∴

ω nat = (\frac{1}{4}) \cdot \sqrt{\frac{7400.004}{0.12}}

Next Step Evaluate

∴

ω nat = 62.0819518861964Hz

Next Step Convert to Output's Unit

∴

ω nat = 62.0819518861964rev/s

LAST Step Rounding Answer

∴

ω nat = 62.082rev/s

Natural angular frequency of Spring whose one end is free Formula Elements

Variables

Functions

Natural Angular Frequency of Helical Spring

Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates when subjected to a surge or sudden force.

Symbol: ω_nat

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Natural Angular Frequency of Helical Spring

Stiffness of Spring

Stiffness of Spring is the measure of a spring's resistance to deformation, indicating how much force is required to compress or stretch it by a certain distance.

Symbol: k

Measurement: Stiffness ConstantUnit: N/mm

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Mass of Helical Spring

Mass of Helical Spring is the total weight of a helical spring, which is a mechanical device that stores energy, typically used in surge applications.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Helical Spring

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 Surge in Springs category

Go Solid Length of Spring

L = N t \cdot d

Go Axial Spring Force given Stiffness of Spring

P = k \cdot δ

Go Axial Deflection of Spring due to Axial load given Stiffness of Spring

δ = \frac{P}{k}

Go Shear stress in spring

𝜏 = K s \cdot \frac{8 \cdot P \cdot C}{π \cdot d^{2}}

How to Evaluate Natural angular frequency of Spring whose one end is free?

Natural angular frequency of Spring whose one end is free evaluator uses Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring) to evaluate the Natural Angular Frequency of Helical Spring, Natural angular frequency of Spring whose one end is free formula is defined as a measure of the oscillations of a helical spring when one end is free to move, providing a fundamental characteristic of the spring's behavior in response to external forces. Natural Angular Frequency of Helical Spring is denoted by ω_nat symbol.

How to evaluate Natural angular frequency of Spring whose one end is free using this online evaluator? To use this online evaluator for Natural angular frequency of Spring whose one end is free, enter Stiffness of Spring (k) & Mass of Helical Spring (m) and hit the calculate button.

FAQs on Natural angular frequency of Spring whose one end is free

What is the formula to find Natural angular frequency of Spring whose one end is free?

The formula of Natural angular frequency of Spring whose one end is free is expressed as Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring). Here is an example- 62.08195 = (1/4)*sqrt(7400.004/0.12).

How to calculate Natural angular frequency of Spring whose one end is free?

With Stiffness of Spring (k) & Mass of Helical Spring (m) we can find Natural angular frequency of Spring whose one end is free using the formula - Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring). This formula also uses Square Root (sqrt) function(s).

Can the Natural angular frequency of Spring whose one end is free be negative?

No, the Natural angular frequency of Spring whose one end is free, measured in Frequency cannot be negative.

Which unit is used to measure Natural angular frequency of Spring whose one end is free?

Natural angular frequency of Spring whose one end is free is usually measured using the Revolution per Second[rev/s] for Frequency. Hertz[rev/s], Petahertz[rev/s], Terahertz[rev/s] are the few other units in which Natural angular frequency of Spring whose one end is free can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Natural angular frequency of Spring whose one end is free Formula

Natural angular frequency of Spring whose one end is free Example

Natural angular frequency of Spring whose one end is free Solution

Natural angular frequency of Spring whose one end is free Formula Elements

Other formulas in Surge in Springs category

How to Evaluate Natural angular frequency of Spring whose one end is free?

FAQs on Natural angular frequency of Spring whose one end is free

Variable Name