Angular Frequency given Constant K and Mass Calculator

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

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency given Constant K and Mass [ω]

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Formula

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Angular Frequency given Constant K and Mass

Formula

`"ω" = sqrt("K"/"M")`

Example

`"10.28508rev/s"=sqrt("3750"/"35.45kg")`

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Angular Frequency given Constant K and Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Frequency = sqrt(Spring Constant/Mass)
ω = sqrt(K/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 Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
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.
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

Spring Constant: 3750 --> No Conversion Required
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = sqrt(K/M) --> sqrt(3750/35.45)

Evaluating ... ...

ω = 10.2850762109829

STEP 3: Convert Result to Output's Unit

10.2850762109829 Hertz -->10.2850762109829 Revolution per Second (Check conversion here)

FINAL ANSWER

10.2850762109829 ≈ 10.28508 Revolution per Second <-- Angular Frequency

(Calculation completed in 00.004 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Basic SHM Equations » Angular Frequency given Constant K and Mass

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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National Institute Of Technology (NIT), Hamirpur

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< 8 Basic SHM Equations Calculators

Amplitude given Position

Go Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a Particle

Position of Particle in SHM

Go Position of a Particle = sin(Angular Frequency*Time Period SHM+Phase Angle)/Amplitude

Angular Frequency given Velocity and Distance

Go Angular Frequency = sqrt(Velocity^2/(Maximum Displacement^2-Displacement^2))

Angular Frequency given Constant K and Mass

Go Angular Frequency = sqrt(Spring Constant/Mass)

Mass of Particle given Angular Frequency

Go Mass = Spring Constant/(Angular Frequency^2)

Angular Frequency in SHM

Go Angular Frequency = (2*pi)/Time Period SHM

Time Period of SHM

Go Time Period SHM = (2*pi)/Angular Frequency

Frequency of SHM

Go Frequency = 1/Time Period SHM

Angular Frequency given Constant K and Mass Formula

Angular Frequency = sqrt(Spring Constant/Mass)
ω = sqrt(K/M)

What is Frequency?

Frequency refers to the number of times a particular event occurs within a specific period of time. It is commonly used in various fields such as physics, engineering, and signal processing.

How to Calculate Angular Frequency given Constant K and Mass?

Angular Frequency given Constant K and Mass calculator uses Angular Frequency = sqrt(Spring Constant/Mass) to calculate the Angular Frequency, Angular Frequency given Constant K and Mass formula is defined as a measure of the rate of oscillations in simple harmonic motion, proportional to the square root of the constant force per unit displacement and inversely proportional to the square root of the mass of the oscillating object. Angular Frequency is denoted by ω symbol.

How to calculate Angular Frequency given Constant K and Mass using this online calculator? To use this online calculator for Angular Frequency given Constant K and Mass, enter Spring Constant (K) & Mass (M) and hit the calculate button. Here is how the Angular Frequency given Constant K and Mass calculation can be explained with given input values -> 10.28508 = sqrt(3750/35.45).

FAQ

What is Angular Frequency given Constant K and Mass?

Angular Frequency given Constant K and Mass formula is defined as a measure of the rate of oscillations in simple harmonic motion, proportional to the square root of the constant force per unit displacement and inversely proportional to the square root of the mass of the oscillating object and is represented as ω = sqrt(K/M) or Angular Frequency = sqrt(Spring Constant/Mass). Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter & Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Angular Frequency given Constant K and Mass?

Angular Frequency given Constant K and Mass formula is defined as a measure of the rate of oscillations in simple harmonic motion, proportional to the square root of the constant force per unit displacement and inversely proportional to the square root of the mass of the oscillating object is calculated using Angular Frequency = sqrt(Spring Constant/Mass). To calculate Angular Frequency given Constant K and Mass, you need Spring Constant (K) & Mass (M). With our tool, you need to enter the respective value for Spring Constant & 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 Angular Frequency?

In this formula, Angular Frequency uses Spring Constant & Mass. We can use 2 other way(s) to calculate the same, which is/are as follows -

Angular Frequency = (2*pi)/Time Period SHM
Angular Frequency = sqrt(Velocity^2/(Maximum Displacement^2-Displacement^2))

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