Angular Frequency of Spring of given Stiffness Constant Calculator

✖Spring Constant is the displacement of the spring from its equilibrium position.ⓘ Spring Constant [K_s]			+10% -10%
✖Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of Body [M]			+10% -10%

✖Angular Frequency in radian/sec refers to the angular displacement per unit of time.ⓘ Angular Frequency of Spring of given Stiffness Constant [ω]

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Angular Frequency of Spring of given Stiffness Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency = sqrt(Spring Constant/Mass of Body)
ω = sqrt(K_s/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

Angular Frequency - (Measured in Radian per Second) - Angular Frequency in radian/sec refers to the angular displacement per unit of time.
Spring Constant - (Measured in Newton per Meter) - Spring Constant is the displacement of the spring from its equilibrium position.
Mass of Body - (Measured in Kilogram) - Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Spring Constant: 51 Newton per Meter --> 51 Newton per Meter No Conversion Required
Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = sqrt(K_s/M) --> sqrt(51/12.6)

Evaluating ... ...

ω = 2.01186954040739

STEP 3: Convert Result to Output's Unit

2.01186954040739 Radian per Second --> No Conversion Required

FINAL ANSWER

2.01186954040739 ≈ 2.01187 Radian per Second <-- Angular Frequency

(Calculation completed in 00.020 seconds)

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Angular Frequency of Spring of given Stiffness Constant

LaTeX Go Angular Frequency = sqrt(Spring Constant/Mass of Body)

Angular Frequency of Spring of given Stiffness Constant Formula

LaTeX Go

Angular Frequency = sqrt(Spring Constant/Mass of Body)
ω = sqrt(K_s/M)

What is angular velocity in spring?

The mass will execute the simple harmonic motion. The angular frequency ω = SQRT(k/m) is the same for the mass oscillating on the spring in a vertical or horizontal position. But the equilibrium length of the spring about which it oscillates is different for the vertical position and the horizontal position.

What is the difference between angular frequency and angular velocity?

Angular velocity is that velocity which act on revolution or rotation of a body with a certain angle with axis with valid radius. i.e the rate of change of angular rotation. Angular frequency also known as radial or circular frequency, measures angular displacement per unit time.

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

Angular Frequency of Spring of given Stiffness Constant calculator uses Angular Frequency = sqrt(Spring Constant/Mass of Body) to calculate 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 calculate Angular Frequency of Spring of given Stiffness Constant using this online calculator? To use this online calculator for Angular Frequency of Spring of given Stiffness Constant, enter Spring Constant (K_s) & Mass of Body (M) and hit the calculate button. Here is how the Angular Frequency of Spring of given Stiffness Constant calculation can be explained with given input values -> 2.01187 = sqrt(51/12.6).

FAQ

What is Angular Frequency of Spring of given Stiffness Constant?

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 and is represented as ω = sqrt(K_s/M) or Angular Frequency = sqrt(Spring Constant/Mass of Body). Spring Constant is the displacement of the spring from its equilibrium position & Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.

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

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 is calculated using Angular Frequency = sqrt(Spring Constant/Mass of Body). To calculate Angular Frequency of Spring of given Stiffness Constant, you need Spring Constant (K_s) & Mass of Body (M). With our tool, you need to enter the respective value for Spring Constant & Mass of Body and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Angular Frequency?

In this formula, Angular Frequency uses Spring Constant & Mass of Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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