Mass of Particle given Angular Frequency Calculator

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✖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

`"0.094627kg"="10"/(("10.28rev/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: 10 --> No Conversion Required
Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = K/(ω^2) --> 10/(10.28^2)

Evaluating ... ...

M = 0.0946267165286378

STEP 3: Convert Result to Output's Unit

0.0946267165286378 Kilogram --> No Conversion Required

FINAL ANSWER

0.0946267165286378 ≈ 0.094627 Kilogram <-- Mass

(Calculation completed in 00.004 seconds)

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Home » Physics » Elasticity & Simple Harmonic Motion(SHM) » Mass of Particle given Angular Frequency

Credits

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

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Mass of Particle given Angular Frequency Formula

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

What is shm?

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that 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, The Mass of Particle given Angular Frequency formula is defined as a mass on a spring that will trace out a sinusoidal pattern as a function of time, as will any object vibrating in simple harmonic motion. One way to visualize this pattern is to walk in a straight line at a constant speed while carrying the vibrating 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 -> 0.094627 = 10/(10.28^2).

FAQ

What is Mass of Particle given Angular Frequency?

The Mass of Particle given Angular Frequency formula is defined as a mass on a spring that will trace out a sinusoidal pattern as a function of time, as will any object vibrating in simple harmonic motion. One way to visualize this pattern is to walk in a straight line at a constant speed while carrying the vibrating 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?

The Mass of Particle given Angular Frequency formula is defined as a mass on a spring that will trace out a sinusoidal pattern as a function of time, as will any object vibrating in simple harmonic motion. One way to visualize this pattern is to walk in a straight line at a constant speed while carrying the vibrating 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.

How many ways are there to calculate Mass?

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

Mass = (Spring Constant*Distance Traveled)/Acceleration

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