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Angular Frequency of Spring of given Stiffness Constant Formula

GoAngular Frequency of Simple Pendulum Formula

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Angular Frequency in radian/sec refers to the angular displacement per unit of time. Check FAQs

ω = \sqrt{\frac{K s}{M}}

ω - Angular Frequency?K_s - Spring Constant?M - Mass of Body?

Angular Frequency of Spring of given Stiffness Constant Example

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Here is how the Angular Frequency of Spring of given Stiffness Constant equation looks like with Values.

Here is how the Angular Frequency of Spring of given Stiffness Constant equation looks like with Units.

Here is how the Angular Frequency of Spring of given Stiffness Constant equation looks like.

2.0119 = \sqrt{\frac{51}{12.6}}

2.0119rad/s = \sqrt{\frac{51N/m}{12.6kg}}

2.0119 = \sqrt{\frac{51}{12.6}}

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Angular Frequency of Spring of given Stiffness Constant Solution

Follow our step by step solution on how to calculate Angular Frequency of Spring of given Stiffness Constant?

FIRST Step Consider the formula

ω = \sqrt{\frac{K s}{M}}

Next Step Substitute values of Variables

∴

ω = \sqrt{\frac{51N/m}{12.6kg}}

Next Step Prepare to Evaluate

∴

ω = \sqrt{\frac{51}{12.6}}

Next Step Evaluate

∴

ω = 2.01186954040739rad/s

LAST Step Rounding Answer

∴

ω = 2.0119rad/s

Angular Frequency of Spring of given Stiffness Constant Formula Elements

Variables

Functions

Angular Frequency

Angular Frequency in radian/sec refers to the angular displacement per unit of time.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Frequency

Spring Constant

Spring Constant is the displacement of the spring from its equilibrium position.

Symbol: K_s

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Spring Constant

Mass of Body

Mass of body 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 of Body

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 to find Angular Frequency

Go Angular Frequency of Simple Pendulum

ω = \sqrt{\frac{g}{L}}

Other formulas in Simple Pendulum category

Go Restoring Torque for Simple Pendulum

τ = M \cdot g \cdot \sin (θ d) \cdot L s

Go Angular Acceleration of String

α = g \cdot \frac{θ}{L s}

Go Periodic Time for One Beat of SHM

t p = π \cdot \sqrt{\frac{L s}{g}}

How to Evaluate Angular Frequency of Spring of given Stiffness Constant?

Angular Frequency of Spring of given Stiffness Constant evaluator uses Angular Frequency = sqrt(Spring Constant/Mass of Body) to evaluate the Angular Frequency, Angular Frequency of Spring of given Stiffness Constant formula is defined as a measure of the number of oscillations per unit time of an object in simple harmonic motion, dependent on the stiffness constant of the spring and the mass of the object. Angular Frequency is denoted by ω symbol.

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

FAQs on Angular Frequency of Spring of given Stiffness Constant

What is the formula to find Angular Frequency of Spring of given Stiffness Constant?

The formula of Angular Frequency of Spring of given Stiffness Constant is expressed as Angular Frequency = sqrt(Spring Constant/Mass of Body). Here is an example- 2.01187 = sqrt(51/12.6).

How to calculate Angular Frequency of Spring of given Stiffness Constant?

With Spring Constant (K_s) & Mass of Body (M) we can find Angular Frequency of Spring of given Stiffness Constant using the formula - Angular Frequency = sqrt(Spring Constant/Mass of Body). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Angular Frequency?

Here are the different ways to Calculate Angular Frequency-

Angular Frequency=sqrt(Acceleration Due to Gravity/Total Length)

Can the Angular Frequency of Spring of given Stiffness Constant be negative?

Yes, the Angular Frequency of Spring of given Stiffness Constant, measured in Angular Frequency can be negative.

Which unit is used to measure Angular Frequency of Spring of given Stiffness Constant?

Angular Frequency of Spring of given Stiffness Constant is usually measured using the Radian per Second[rad/s] for Angular Frequency. Degree per Second[rad/s] are the few other units in which Angular Frequency of Spring of given Stiffness Constant can be measured.

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