Mass of Particle given Angular Frequency 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%
✖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 of Particle given Angular Frequency [M]

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Formula

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Mass of Particle given Angular Frequency

Formula

`"M" = "K"/("ω"^2)`

Example

`"35.44997kg"="3750"/(("10.28508rev/s")^2)`

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Mass of Particle given Angular Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
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.

STEP 1: Convert Input(s) to Base Unit

Spring Constant: 3750 --> No Conversion Required
Angular Frequency: 10.28508 Revolution per Second --> 10.28508 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = K/(ω^2) --> 3750/(10.28508^2)

Evaluating ... ...

M = 35.4499738804887

STEP 3: Convert Result to Output's Unit

35.4499738804887 Kilogram --> No Conversion Required

FINAL ANSWER

35.4499738804887 ≈ 35.44997 Kilogram <-- Mass

(Calculation completed in 00.004 seconds)

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Home » Physics » Simple Harmonic Motion(SHM) » Basic Physics » Mechanics » Basic SHM Equations » Mass of Particle given Angular Frequency

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

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

Mass of Particle given Angular Frequency Formula

Mass = Spring Constant/(Angular Frequency^2)
M = K/(ω^2)

What is Angular Frequency?

Angular frequency is the rate of change of the phase of a sinusoidal waveform, or in the context of circular motion, it is the rate at which an object rotates around a central point.

How to Calculate Mass of Particle given Angular Frequency?

Mass of Particle given Angular Frequency calculator uses Mass = Spring Constant/(Angular Frequency^2) to calculate the Mass, Mass of Particle given Angular Frequency formula is defined as a measure of the mass of a particle in simple harmonic motion, calculated by dividing the spring constant by the square of the angular frequency, providing a fundamental relationship between the particle's motion and its mass. Mass is denoted by M symbol.

How to calculate Mass of Particle given Angular Frequency using this online calculator? To use this online calculator for Mass of Particle given Angular Frequency, enter Spring Constant (K) & Angular Frequency (ω) and hit the calculate button. Here is how the Mass of Particle given Angular Frequency calculation can be explained with given input values -> 35.48502 = 3750/(10.28508^2).

FAQ

What is Mass of Particle given Angular Frequency?

Mass of Particle given Angular Frequency formula is defined as a measure of the mass of a particle in simple harmonic motion, calculated by dividing the spring constant by the square of the angular frequency, providing a fundamental relationship between the particle's motion and its mass and is represented as M = K/(ω^2) or Mass = Spring Constant/(Angular Frequency^2). 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 of a steadily recurring phenomenon expressed in radians per second.

How to calculate Mass of Particle given Angular Frequency?

Mass of Particle given Angular Frequency formula is defined as a measure of the mass of a particle in simple harmonic motion, calculated by dividing the spring constant by the square of the angular frequency, providing a fundamental relationship between the particle's motion and its mass is calculated using Mass = Spring Constant/(Angular Frequency^2). To calculate Mass of Particle given Angular Frequency, you need Spring Constant (K) & Angular Frequency (ω). With our tool, you need to enter the respective value for Spring Constant & Angular Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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