Natural angular frequency of Spring whose one end is free Calculator

✖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.ⓘ Stiffness of Spring [k]			+10% -10%
✖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.ⓘ Mass of Helical Spring [m]			+10% -10%

✖Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates when subjected to a surge or sudden force.ⓘ Natural angular frequency of Spring whose one end is free [ω_nat]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF PDF Image

Natural angular frequency of Spring whose one end is free Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring)
ω_nat = (1/4)*sqrt(k/m)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Natural Angular Frequency of Helical Spring - (Measured in Hertz) - Natural Angular Frequency of Helical Spring is the frequency at which a helical spring oscillates when subjected to a surge or sudden force.
Stiffness of Spring - (Measured in Newton per Meter) - 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.
Mass of Helical Spring - (Measured in Kilogram) - 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.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Spring: 7.400004 Newton per Millimeter --> 7400.004 Newton per Meter (Check conversion here)
Mass of Helical Spring: 0.12 Kilogram --> 0.12 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_nat = (1/4)*sqrt(k/m) --> (1/4)*sqrt(7400.004/0.12)

Evaluating ... ...

ω_nat = 62.0819518861964

STEP 3: Convert Result to Output's Unit

62.0819518861964 Hertz -->62.0819518861964 Revolution per Second (Check conversion here)

FINAL ANSWER

62.0819518861964 ≈ 62.08195 Revolution per Second <-- Natural Angular Frequency of Helical Spring

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Springs » Helical Springs » Mechanical » Surge in Springs » Natural angular frequency of Spring whose one end is free

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Surge in Springs Calculators

Shear stress in spring

LaTeX Go Shear Stress in Spring = Shear Stress Correction Factor of Spring*(8*Axial Spring Force*Spring Index)/(pi*Diameter of spring wire^2)

Solid Length of Spring

LaTeX Go Solid Length of Spring = Total Coils in Spring*Diameter of spring wire

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

LaTeX Go Deflection of Spring = Axial Spring Force/Stiffness of Spring

Axial Spring Force given Stiffness of Spring

LaTeX Go Axial Spring Force = Stiffness of Spring*Deflection of Spring

Natural angular frequency of Spring whose one end is free Formula

LaTeX Go

Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring)
ω_nat = (1/4)*sqrt(k/m)

Define Angular Frequency of the spring?

So to differentiate it from frequency it is called angular frequency. So your spring-mass system is undergoing linear oscillatory motion but a parameter used to describe the motion of your spring-mass system happens to be measured in radians which is a measure of angle.

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

Natural angular frequency of Spring whose one end is free calculator uses Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring) to calculate 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 calculate Natural angular frequency of Spring whose one end is free using this online calculator? To use this online calculator 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. Here is how the Natural angular frequency of Spring whose one end is free calculation can be explained with given input values -> 62.08195 = (1/4)*sqrt(7400.004/0.12).

FAQ

What is Natural angular frequency of Spring whose one end is free?

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 and is represented as ω_nat = (1/4)*sqrt(k/m) or Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical 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 & 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.

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

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 is calculated using Natural Angular Frequency of Helical Spring = (1/4)*sqrt(Stiffness of Spring/Mass of Helical Spring). To calculate Natural angular frequency of Spring whose one end is free, you need Stiffness of Spring (k) & Mass of Helical Spring (m). With our tool, you need to enter the respective value for Stiffness of Spring & Mass of Helical Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search