Constant K given Angular Frequency Calculator

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%
✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%

✖Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.ⓘ Constant K given Angular Frequency [K]

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Formula

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Constant K given Angular Frequency

Formula

`"K" = "ω"^2*"M"`

Example

`"3750.003"=("10.28508rev/s")^2*"35.45kg"`

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Constant K given Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Constant = Angular Frequency^2*Mass
K = ω^2*M
This formula uses 3 Variables

Variables Used

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.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Mass - (Measured in Kilogram) - Mass 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

Angular Frequency: 10.28508 Revolution per Second --> 10.28508 Hertz (Check conversion here)
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = ω^2*M --> 10.28508^2*35.45

Evaluating ... ...

K = 3750.00276299688

STEP 3: Convert Result to Output's Unit

3750.00276299688 --> No Conversion Required

FINAL ANSWER

3750.00276299688 ≈ 3750.003 <-- Spring Constant

(Calculation completed in 00.006 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Forces and Energy in SHM » Constant K given Angular Frequency

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 7 Forces and Energy in SHM Calculators

Mass of Body given Distance Traveled and Constant K

Go Mass = (Spring Constant*Displacement)/Acceleration

Acceleration given Constant K and Distance Traveled

Go Acceleration = (Spring Constant*Displacement)/Mass

Constant K given Restoring Force

Go Spring Constant = -(Restoring Force/Displacement)

Restoring Force in SHM

Go Restoring Force = -(Spring Constant)*Displacement

Acceleration in SHM given Angular Frequency

Go Acceleration = -Angular Frequency^2*Displacement

Constant K given Angular Frequency

Go Spring Constant = Angular Frequency^2*Mass

Restoring Force given Stress

Go Force = Stress*Area

Constant K given Angular Frequency Formula

Spring Constant = Angular Frequency^2*Mass
K = ω^2*M

What is Angular Frequency?

Angular frequeny, is a scalar quantity that represents the rate of angular displacement or rotation of a particle or object in circular motion or simple harmonic motion (SHM). It is closely related to the frequency of oscillation in SHM and the rotational speed in circular motion.

How to Calculate Constant K given Angular Frequency?

Constant K given Angular Frequency calculator uses Spring Constant = Angular Frequency^2*Mass to calculate 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 calculate Constant K given Angular Frequency using this online calculator? To use this online calculator for Constant K given Angular Frequency, enter Angular Frequency (ω) & Mass (M) and hit the calculate button. Here is how the Constant K given Angular Frequency calculation can be explained with given input values -> 3746.299 = 10.28508^2*35.45.

FAQ

What is Constant K given Angular Frequency?

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 and is represented as K = ω^2*M or Spring Constant = Angular Frequency^2*Mass. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Constant K given Angular Frequency?

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 is calculated using Spring Constant = Angular Frequency^2*Mass. To calculate Constant K given Angular Frequency, you need Angular Frequency (ω) & Mass (M). With our tool, you need to enter the respective value for Angular Frequency & Mass 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 Spring Constant?

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

Spring Constant = -(Restoring Force/Displacement)

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