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Constant K given Angular Frequency Formula

GoConstant K given Restoring Force Formula

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Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter. Check FAQs

K = ω^{2} \cdot M

K - Spring Constant?ω - Angular Frequency?M - Mass?

Constant K given Angular Frequency Example

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Here is how the Constant K given Angular Frequency equation looks like with Values.

Here is how the Constant K given Angular Frequency equation looks like with Units.

Here is how the Constant K given Angular Frequency equation looks like.

3750.0028 = {10.2851}^{2} \cdot 35.45

3750.0028 = {10.2851rev/s}^{2} \cdot 35.45kg

3750.0028 = {10.2851}^{2} \cdot 35.45

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Constant K given Angular Frequency Solution

Follow our step by step solution on how to calculate Constant K given Angular Frequency?

FIRST Step Consider the formula

K = ω^{2} \cdot M

Next Step Substitute values of Variables

∴

K = {10.2851rev/s}^{2} \cdot 35.45kg

Next Step Convert Units

∴

K = {10.2851Hz}^{2} \cdot 35.45kg

Next Step Prepare to Evaluate

∴

K = {10.2851}^{2} \cdot 35.45

Next Step Evaluate

∴

K = 3750.00276299688

LAST Step Rounding Answer

∴

K = 3750.0028

Constant K given Angular Frequency Formula Elements

Variables

Spring Constant

Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Spring Constant

Angular Frequency

Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

Symbol: ω

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Other Formulas to find Spring Constant

Go Constant K given Restoring Force

K = - (\frac{F restoring}{S})

Other formulas in Forces and Energy in SHM category

Go Restoring Force in SHM

F restoring = - (K) \cdot S

Go Mass of Body given Distance Traveled and Constant K

M = \frac{K \cdot S}{a}

Go Acceleration in SHM given Angular Frequency

a = - ω^{2} \cdot S

Go Acceleration given Constant K and Distance Traveled

a = \frac{K \cdot S}{M}

How to Evaluate Constant K given Angular Frequency?

Constant K given Angular Frequency evaluator uses Spring Constant = Angular Frequency^2*Mass to evaluate the Spring Constant, The Constant K given Angular Frequency formula is defined as a mathematical representation that relates the constant of a simple harmonic motion to its angular frequency and mass, enabling the calculation of the constant K when the angular frequency and mass of an object are known. Spring Constant is denoted by K symbol.

How to evaluate Constant K given Angular Frequency using this online evaluator? To use this online evaluator for Constant K given Angular Frequency, enter Angular Frequency (ω) & Mass (M) and hit the calculate button.

FAQs on Constant K given Angular Frequency

What is the formula to find Constant K given Angular Frequency?

The formula of Constant K given Angular Frequency is expressed as Spring Constant = Angular Frequency^2*Mass. Here is an example- 3746.299 = 10.28508^2*35.45.

How to calculate Constant K given Angular Frequency?

With Angular Frequency (ω) & Mass (M) we can find Constant K given Angular Frequency using the formula - Spring Constant = Angular Frequency^2*Mass.

What are the other ways to Calculate Spring Constant?

Here are the different ways to Calculate Spring Constant-

Spring Constant=-(Restoring Force/Displacement)

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