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Frequency given Spring Constant and Mass Formula

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Spring Frequency is the number of oscillations or cycles per second of a vibrating system in mechanical vibrations, measured in Hertz. Check FAQs

f s = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{k'}{m'}}

f_s - Spring Frequency?k' - Spring Stiffness?m' - Mass Attached to Spring?π - Archimedes' constant?

Frequency given Spring Constant and Mass Example

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Here is how the Frequency given Spring Constant and Mass equation looks like with Values.

Here is how the Frequency given Spring Constant and Mass equation looks like with Units.

Here is how the Frequency given Spring Constant and Mass equation looks like.

0.3183 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{10.4}{2.6}}

0.3183Hz = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{10.4N/m}{2.6kg}}

0.3183 = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{10.4}{2.6}}

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Frequency given Spring Constant and Mass Solution

Follow our step by step solution on how to calculate Frequency given Spring Constant and Mass?

FIRST Step Consider the formula

f s = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{k'}{m'}}

Next Step Substitute values of Variables

∴

f s = \frac{1}{2 \cdot π} \cdot \sqrt{\frac{10.4N/m}{2.6kg}}

Next Step Substitute values of Constants

∴

f s = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{10.4N/m}{2.6kg}}

Next Step Prepare to Evaluate

∴

f s = \frac{1}{2 \cdot 3.1416} \cdot \sqrt{\frac{10.4}{2.6}}

Next Step Evaluate

∴

f s = 0.318309886183791Hz

LAST Step Rounding Answer

∴

f s = 0.3183Hz

Frequency given Spring Constant and Mass Formula Elements

Variables

Constants

Functions

Spring Frequency

Spring Frequency is the number of oscillations or cycles per second of a vibrating system in mechanical vibrations, measured in Hertz.

Symbol: f_s

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Spring Frequency

Spring Stiffness

Spring Stiffness is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched.

Symbol: k'

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Spring Stiffness

Mass Attached to Spring

Mass Attached to Spring is the amount of mass attached to a spring in a mechanical vibration system, affecting the vibration's frequency and amplitude.

Symbol: m'

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass Attached to Spring

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 Elements of Vibration category

Go Displacement of Body in Simple Harmonic Motion

d = A' \cdot \sin (ω \cdot t sec)

Go Velocity of Body in Simple Harmonic Motion

V = A' \cdot ω \cdot \cos (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion

a = A' \cdot ω^{2} \cdot \sin (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

a = ω^{2} \cdot d

How to Evaluate Frequency given Spring Constant and Mass?

Frequency given Spring Constant and Mass evaluator uses Spring Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring) to evaluate the Spring Frequency, Frequency given Spring Constant and Mass formula is defined as a measure of the number of oscillations per second of an object in a mechanical vibrating system, dependent on the spring constant and mass of the object, providing a fundamental characteristic of the system's behavior. Spring Frequency is denoted by f_s symbol.

How to evaluate Frequency given Spring Constant and Mass using this online evaluator? To use this online evaluator for Frequency given Spring Constant and Mass, enter Spring Stiffness (k') & Mass Attached to Spring (m') and hit the calculate button.

FAQs on Frequency given Spring Constant and Mass

What is the formula to find Frequency given Spring Constant and Mass?

The formula of Frequency given Spring Constant and Mass is expressed as Spring Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring). Here is an example- 0.31831 = 1/(2*pi)*sqrt(10.4/2.6).

How to calculate Frequency given Spring Constant and Mass?

With Spring Stiffness (k') & Mass Attached to Spring (m') we can find Frequency given Spring Constant and Mass using the formula - Spring Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Frequency given Spring Constant and Mass be negative?

No, the Frequency given Spring Constant and Mass, measured in Frequency cannot be negative.

Which unit is used to measure Frequency given Spring Constant and Mass?

Frequency given Spring Constant and Mass is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Frequency given Spring Constant and Mass can be measured.

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Frequency given Spring Constant and Mass Formula

Frequency given Spring Constant and Mass Example

Frequency given Spring Constant and Mass Solution

Frequency given Spring Constant and Mass Formula Elements

Other formulas in Elements of Vibration category

How to Evaluate Frequency given Spring Constant and Mass?

FAQs on Frequency given Spring Constant and Mass

Variable Name